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Graphical Mathematics Dictionary Dr. K. G. Shih |
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Contents of this webpage :
2. Part 2 : Program keywords of each chapter |
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Subjects of Graphical Mathematics Dictionary Dr. K. G. SHIH |
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88 *** MATH2000 Software By Dr. K. G. Shih 0 01 22 Number 0 02 21 Circle 0 03 16 Quadratic Functions 0 04 12 Pascal Triangle 0 05 16 Geometry and Functions 0 06 20 Conic Sections 0 07 11 Intersection of Curves 0 08 11 Complex Numbers 0 09 17 Binary & Octal Numbers 0 10 18 Points to Curve & Equations 0 11 20 Deom Topics 0 12 24 Demo Topics 0 13 09 Geometry 0 14 26 Seiries 0 15 31 Translation : Translation & Rotation 0 16 16 Focal points & Image : mirror & Lenz 0 17 11 Polynomial Equations & Roots 0 18 29 Normal and Student t Distributions 0 19 30 Graphic Calculator 0 20 21 Trigonometry 0 21 24 Trigonometry 0 22 28 Trigonometry 0 23 12 Geometry 0 24 22 Geometry 0 25 06 Geometry 0 26 27 One point 0 27 19 Two points 0 28 22 Three points 0 29 20 Four points 0 30 15 Five points and Six points 0 31 29 Relation with Chords 0 32 23 Relation with Secants 0 33 26 Relation with Tangents 0 34 12 Ascii; Inverse; Conic 0 35 08 Matrix and Determinant 0 36 20 ZMF02 : DEMO 0 37 11 ZM37 : (ZMF04) - GRAPHICAL CALCULATOR 0 38 19 COORDINATE GEOMETRY 0 39 21 ZM39 : (ZMF03) - SKETCH GRAPHS 0 40 14 ZM40 : CONIC SECTIONS 0 41 01 COMPUTER 0 42 01 PERMUTATION AND COMBINATION 0 43 01 INEQUALITY 0 44 01 LOCU1314 0 45 01 LIMIT 0 46 01 PASCAL TRIANGLE AND SEQUENCE 0 47 06 Difference 0 48 05 Reflection 0 49 54 Algibra - GRAPHS OF Y=F(X) 0 50 50 Trig and hyperbola - GRAPHS OF Y=F(X) 0 51 08 Parametric Equations : X=F(t) y=G(t) 0 52 14 Polar Form R=F(A) : Floral Functions 0 53 27 FIGRUE2 : GRAPHS OF CHAPTER 2 TO 15 0 54 29 DOPEN3 : GRAPHS OF CHAPTER 2 TO 15 0 55 27 FIGURE3 : TWIN AND QUADRUPLET PATTERNS 0 56 00 new developed 0 57 0 58 0 59 0 60 0 61 15 ZK1 0 62 15 ZK2 0 63 15 ZK3 0 64 15 ZK4 0 65 15 ZK5 0 66 15 ZK6 0 67 15 ZK7 0 68 15 ZK8 0 69 01 ABACU123 0 70 01 GRAPH123 0 71 01 MTOOL123 0 72 01 NUMBR123 0 73 01 RULES123 0 74 0 75 0 76 0 77 0 78 0 79 0 80 0 81 VB programs 0 82 VB programs 0 83 VB programs 0 84 VB programs 0 85 0 86 0 87 0 88 - NOT INUSE 0 89 0 90 0 91 0 92 0 93 0 94 0 95 0 96 08 FLAG1 : INTERNATIONAL FLAG CODES 0 97 15 GA programs 0 98 15 GB programs 0 99 15 GC programs |
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Program keywords of each chapter |
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1 *** ZM1 - NUMBERS 0 01 BINARY NUMBER CONVERSION 0 02 OCTAL NUMBER CONVERSION 0 03 HEXA NUMBER CONVERSION 0 04 UNIT FRACTION 0 05 VALUE OF 2^n 0 06 FIND PRIME AND TWIN PRIME NUMBERS 0 07 PRIME FACTORS 0 08 REPEATING DECIMALS 0 09 AMICABLE NUMBERS AND PERFECT NUMBERS 0 10 MAGIC SQUARE 0 11 PASCAL TRIANGLE AND APPLICATION 0 12 BINOMIAL COEFFICIENTS AND POLYNOMIAL COEFFICIENTS 0 13 PERFECT NUMBERS 0 14 PROPERTIES OF NUMBERS 0 15 PERFECT # AND S=1^3+3^3+5^3+... 0 16 PERFECT # AND 2^(n-1)*(2^n-1) 0 17 MULTIPLE OF N WHOSE DIGITS AR SAME 0 18 NUMBERS IN MATRIX PATTERN (1) 0 19 NUMBERS IN MATRIX PATTERN (2) 0 20 MAGIC NUMBERS IN CIRCLE PATTERNS 0 21 GOLDBACH'S PROJECTIVES 0 22 PERFECT NUMBERS AND S=1^3 +3^3 + .... 0 23 PERFECT NUMBERS AND S=2^(n-1)*(2^n-1) 0 24 FIND AMICABLE PAIRS BETWEEN 0 AND 10000 0 25 ASCII CODE : CODE # TO SYMBOL 0 26 ASCII CODE : KEYBOARD SYMBOL KEYS TO CODE # 0 27 ASCII CODE : LIST EXTENDED ASCII CODES 0 28 Fibonacci's sequence and Lucas sequence 0 00 Go to Begin 2 *** ZM2 - CIRCLE 0 01 CIRCLE LOCUS 1 - PC=CONSTANT 0 02 CIRCLE LOCUS 2 - ANGLE ACB=90 DEGREES 0 03 TRIANGLE - EX-CENTER AND EX-CIRCLE 0 04 TRIANGLE - IN-CENTER AND IN-CIRCLE 0 05 TRIANGLE - ES-CENTER AND ES-CIRCLE 0 06 CIRCLES INSCRIBED TRIANGLE 0 07 AREA ENCLOSED BY 3 CIRCLES 0 08 AREA ENCLOSED BY 5 OR 6 CIRCLES 0 09 AREA - SQUARE AND CIRCLE 0 10 AREA - SQUARE AND CIRCLE 0 11 AREA - SQUARE AND CIRCLE 0 12 LOCUS - INCENTER OF TRIANGLE 0 13 LOCUS - ESCENTER OF TRIANGLE 0 14 PARALLELOGRAM AND LOCUS OF CIRCLE 0 15 LOCUS - CIRCLE AND CHORD A 0 16 LOCUS - CIRCLE AND CHORD B 0 17 LCOUS - CIRCLE AND CHORD C 0 18 CIRCLE AND SECANT : LOCUS 0 19 NINE POINT CIRCLE 0 20 CONCYCLIC - FOUR POINTS ON CIRCLE 0 21 CONCYCLIC - PARABOLA WITH 2 TANGENTS & 2 NORMALS 0 00 Go to Begin 3 *** ZM3 - QUADRATIC FUNCTIONS 0 01 XY-COORDINATES 0 02 THE LOCUS 0 03 X-INTERCEPT AND Y-INTERCEPT 0 04 APPLICATEION OF VERTEX 0 05 USE OF COMPLETING SQUARE 0 06 USE OF DISCRIMINANT 0 07 COEFFICIENT A AND CURVE 0 08 COEFFICIENT B AMD CURVE 0 09 COEFFICIENT C AND CURVE 0 10 INTERSECTION WITH LINE 0 11 THREE POINTS DEFINE PARABOLA 0 12 INTERSECTIONS WITH ITS INVERSE 0 13 FUNCTION WITH ABSOLUTE OPERATION 0 14 PROJECTILE (See chapter 12 topic 8) 0 15 SKETCH Y=A*X^2+B*X+C 0 16 SKETCH (X-r)*(X-s)=0 Go to Begin 4 *** ZM4 -PASCAL TRIANGLE 0 01 WHAT IS PASCALL TRIANGLE ? 0 02 APPLICATION OF PASCAL TRIANGLE 0 03 PASCAL TRIANGLE AND SEQUENCES 0 04 S(n) AND T(n) OF SEQUENCE #3 0 05 S(n) AND T(n) SUMMARY 0 06 PASCAL TRIANGLE AND SPECIAL MATRIX 0 07 PASCAL TRIANGLE AND FIBONACCI SEQUENCE 0 08 FIND C(n; r) 0 09 HYPERGEOMETRIC : [C(k;x) * C(N-k;n-x)] / C(N;n) 0 10 FIND COEFF OF a^(n-r)*b^r IN (a+b)^n 0 11 FIND COEFF OF TERM FOR n;r IN (a+b)^n 0 12 BINOMIAL PROBABILITY Go to Begin 5 *** ZM5- GEOMETRICAL CONSTRUCTION AND GRAPHS OF FUNCTIONS 0 01 TRANGLE : USE MEDIANS TO DRAW TRINAGLE 0 02 CIRCLE : DRAW TANGENT TO A CIRCLE 0 03 CIRCLE : DRAW TANGENT TO A CIRCLE 0 04 PYTHAGOREAN LAW 0 05 EQUATION : SOLVE GRAPHICALLY OF X^N-1=0 OR X^N+1 = 0 0 06 CONIC : CONSTRUCT PARABOLA 0 07 CONIC : CONSTRUCT ELLIPSE 0 08 GRAPHS OF FUNCTIONS Y=F(X) 0 09 GRAPHS OF Z=F(X;Y) 0 10 CIRCLE PASSING 3 GIVEN POINTS 0 11 CIRCLE TANGENT 3 SIDE 0 12 TRIANGLE : FIND EXCENTER AND RADIUS 0 13 TRIANGLE : FIND INCENTER AND RADIUS 0 14 GRAPH : R=a+b*SIN(N*A)^M 0 15 GRAPH : R=a+b*TAN(N*A)^M 0 16 GRAPH : R=a+b*SEC(N*A)^M Go to Begin 6 *** ZM6 - CONIC SECTION 0 01 REFLECTION OF PARABOLA 0 02 REFLECTION OF ELLIPSE 0 03 REFLECTION OF HYPERBOLA 0 04 ROTATION OF ELLIPSE 0 05 ROTATION OF HYPERBOLA 0 06 ROTATION OF PARABOLA 0 07 TANGENT LINES OF CIRCLE 0 08 TANGENT LINES OF ELLIPSE 0 09 TANGENT LINES OF HYPERBOLA 0 10 TANGENT LINES OF PARABOLA 0 11 NORMAL LINES OF CIRCLE 0 12 NORMAL LINES OF ELLIPSE 0 13 NORMAL LINES OF HYPERBOLA 0 14 NORMAL LINES OF PARABOLA 0 15 SKETCH ELLIPSE 0 16 SKETCH ELLIPSE USING RULER 0 17 SKETCH PARABOLA USING RULER 0 18 LOCUS OF PARABOLA 0 19 LOCUS OF ELLIPSE 0 20 A*X^2+B*X*Y+C*Y^2+D*X+E*Y+F=0 Go to Begin 7 *** ZM7 - INTERSECTIONS OF TWO CURVES 0 01 INTERSECTIONS OF CIRCLE AND Y = F(X) 0 02 INTERSECTIONS OF CIRCLE AND Y = 1/G(X) 0 03 INTERSECTIONS OF CIRCLE AND Y = F(X)/G(X) 0 04 INTERSECTIONS OF Y = F(X) AND Y = 1/G(X) 0 05 INTERSECTIONS OF Y = G(X)/F(X) AND Y = T(X)/H(X) 0 06 INTERSECTIONS OF Y = 1/F(X) AND F(X)= f(X)/g(X) 0 07 INTERSECTIONS OF CIRCLE AND CIRCLE 0 08 INTERSECTIONS OF Y = F(X) AND Y = G(X) 0 09 INTERSECTIONS OF Y = 1/F(X) AND Y = 1/G(X) 0 10 INTERSECTIONS OF Y = f(X)/g(X) AND Y = s(X)/t(X) 0 11 INTERSECTIONS OF QUADRATIC FUNCTION AND ITS INVERSE Go to Begin 8 *** ZM8 - COMPLEX NUMBER 0 01 (a+bi)+(c+di) 0 02 (a+bi)-(c-di) 0 03 (COS(A) + i*SIN(A))*(COS(B) + i*SIN(B)) = ? 0 04 (COS(A) + i*SIN(A))/(COS(B) + i*SIN(B)) = ? 0 05 (COS(A) + i*SIN(A))^n 0 06 1/(a+bi) = R*(COS(A) + i*SIN(A)) 0 07 i^n AND n = POSITIVE INTEGER 0 08 i^(1/n); n = POSITIVE INTEGER 0 09 SOLVE GRAPHICALLY X^n - 1 = 0 0 10 SOLVE GRAPHICALLY X^n + 1 = 0 0 11 THEOREMS Go to Begin 9 *** ZM9 - BINARY AND OCTAL NUMBERS 0 01 DEFINITION OF OCTAL SYSTEM 0 02 INTEGRAL OCTAL TO DECIMAL NUMBER 0 03 FRACTIONAL OCTAL TO DECIMAL NUMBER 0 04 INTEGRAL DECIMAL TO OCTAL DEMONSTRATION 0 05 FRACTIONAL DECIMAL TO OCTAL DEMONSTRATION 0 06 BIT AND BYTE : ONE BIT 0 07 BIT AND BYTE : TWO BITS 0 08 BIT AND BYTE : THREE BITS 0 09 BIT AND BYTE : ONE BYTE 0 10 BIT AND BYTE : TWO BYTE INTEGER 0 11 BIT AND BYTE : EXERCISES 0 12 BINARY AND OCTAL 0 13 FIVE AND FORTY IN OCTAL 0 14 THREE AND TWENTY FOUR IN OCTAL 0 15 FIVE CAKES AND TWO FISHES 0 16 DEFINITION : RESERVED POSITIONS 0 17 POSITION VALUE OF BINARY DIGIT Go to Begin 10 *** ZM10 - POINTS TO CURVE AND SOLVE EQUATIONS 0 01 SOLVE 2 LINEAR EQUATIONS 0 02 SOLVE 3 LINEAR EQUATIONS 0 03 CURVE PASSING 3 GIVEN POINTS 0 04 CIRCLE PASSING 3 GIVEN POINTS 0 05 DEMO:INTERSECTION OF LINE (X=h) AND PARABOLA 0 06 DEMO:INTERSECTION OF LINE (Y=k) AND PARABOLA 0 07 DEMO:INTERSECTION OF LINE (Y=X) AND PARABOLA 0 08 DEMO:INTERSECTION OF LINE (Y=mX+n) AND PARABOLA 0 09 SOLVE Y=mX+n AND Y=A*X^2+B*X+C 0 10 QUADRATIC FUNCTION AND ITS INVERSE 0 11 GRAPHIC SOLUTION OF Y=mX+n AND Y=A*X^2+B*X+C 0 12 GRAPHIC SOLUTION OF Y=mX+n AND Y=1/(A*X^2+B*X+C) 0 13 GRAPHIC SOLUTION OF Y=mX+n AND Y=SQR(A*X^2+B*X+C) 0 14 SOLVE N LINEAR EQUATIONS (MAX 8 EQUATIONS) 0 15 LEAST SQUARE FIT (MAX ORDER 20 DEGREES) 0 16 POLYNOMIAL INTERPOLATION (MAX ORDER 20 DEGREES) 0 17 GRAPHIC SOLUTION OF Y=mX+n AND CIRCLE 0 18 GRAPHIC SOLUTION OF Y=mX+n AND ELLIPSE Go to Begin 11 *** ZM11 - DEMO TOPICS (D10pict) 0 01 SLOPE AND LINE 0 02 TWO LINES 0 03 AREA - CIRCLE AND TRIANGLE 0 04 AREA - CIRCLE AND SQUARE 0 05 AREA - CIRCLE AND POLYGONS 0 06 FOUR LINES 0 07 MAGIC NUMBERS 1 TO 33 0 08 MAGIC NUMBERS 1 TO 16 0 09 PERFECT NUMBERS AND AMICABLE NUMBERS 0 10 GRAPHS OF Z = F(X;Y) 0 11 MATRIX NUMBER PATTERN I 0 12 AREA UNDER CURVES 0 13 SOLAR SYSTEM 9 PLANNETS 0 14 SIMPLE HARMONIC MOTION 0 15 MATRIX NUMBER PATTERN II 0 16 FIND THE WEEK DAY WHEN YOU WERE BORN 0 17 NUMBER AND FLORAL PATTERNS 0 18 FLYER 0 19 PYTHAGOREAN TRIPLES 0 20 CHORD - HOW MANY CHORD IF 11 POINTS ON CIRCLE ? Go to Begin 12 *** Chapter 12 : Zm12 - Special Topics 0 01 PERFECT NUMBER 0 02 PASCAL TRIANGLE - SYMMETRICAL MATRIX 0 03 LOCUS OF INCENTER OF A TRIANGLE 0 04 POLYYNOMIAL EQUATIONS : SOLVE X^4+X^3+X^2+X+1=0 0 05 FUNCTIONS WITH ABSOLUTE OPERATION : Y=ABS(a*X^2+b*ABS(X)+C) 0 06 QUADRATIC FUNCTION AND INVERSE 0 07 PATTERNS - R = 2+4*SIN(N*A) 0 08 PROJECTILE WITH DIFFERENT ANGLES 0 09 CIRCLES - INTERSECTIONS OF CIRCLES 0 10 CHORD - HOW MANY CHORDS ? 0 11 PATTERNS - 3D PATTERN : Z = F(X;Y) 0 12 FLYER OF SYSTEMS 0 13 DEFINITE INTEGRAL 0 14 SCREEN SAVER 0 15 TANGENT - DRAW TANGENT TO PARABOLA BY REFLECTION LAW 0 16 PATTERNS - R = 4+2*SIN(N*A)^M 0 17 LOCUS OF CIRCLE 0 18 - 0 19 MULTIPLE OF n WHOSE DIGITS ARE SAME 0 20 TRAILOR ZEROS OF n! 0 21 PATTERNS - COVER BOOK MATHGRAF 0 22 ELLIPSE - DRAW ELLIPSE 0 23 SQUARE - HOW MANY SQUARES ? 0 24 CUBE - HOW MANY COBES ? Go to Begin 13 *** Zm13 - GEOMETRY 0 01 THREE POINTS AND TRIANGLE 0 02 PEDAL TRIANGLE 0 03 EX-CENTRAL TRIANGLE 0 04 FIND DISTANCE BETWEEN IN-CENTER AND EX-CENTER 0 05 FIND DISTANCE BETWEEN INCENTER AND ORTHOCENTER 0 06 FIND DISTANCE BETWEEN EXCENTER AND ORTHOCENTER 0 07 PROVE MID-POINT THEORY OF TRIANGLE 0 08 PROVE THAT MEDIANS OF TRIANGLE ARE CONCURRENT 0 09 PROVE PYTHAGOREAN LAW Go to Begin 14 *** ZM14 - SERIES 0 01 ARITHMETIC SERIES 0 02 SUM OF ODD INTEGERS 0 03 GEOMETRIC SERIES 0 04 SUM OF 1 + 1/4 + 1/8 + 1/16 + .... 0 05 HARMONIC SERIES 0 06 S(N) = 1 + 1/2+2/2 + 1/3+2/3+3/3 + 1/4+2/4+3/4+4/4+.... 0 07 MORE SERIES : 3 SERIES 0 08 S(N) = (1-1/2)*(1-1/3)*(1-1/4)*....*(1-1/N) 0 09 S(N) = (1-1/4)*(1-1/9)*(1-1/16)*.... * (1-1/N^2) 0 10 S(N) = 1/(1*2)+1/(2*3)+1/(3*4)+....+ 1/(N*(N+1)) 0 11 S(N) = 1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+...+ 1/(N*(N+1)*(N+2) 0 12 S(N) = 1+2^2+3^2+4^2+1/5^2+....+ N^2 0 13 S(N) = 1+2^3+3^3+4^3+1/5^3+....+ N^3 0 14 MORE SERIES : SIX SERIES 0 15 SERIES OF FUNCTIONS 0 16 P-SERIES 0 17 NUMBER IN MATRIX PATTERN - UPWARD 0 18 NUMBER IN MATRIX PATTERN - DOWN AND UP 0 19 NUMBER IN MATRIX PATTERN - UP AND DOWN 0 20 NUMBER IN MATRIX PATTERN - DOWN 0 21 TRIANGULAR NUMBER PATTERNS 1 3 6 10 .... 0 22 SERIES AND BIONMIAL COEFFICIENTS C(n;r) 0 23 S=SQR(2*SQR(2*SQR(2*SQR(2*SQR(2*....))) 0 24 S = 1/(1X2)+1/(2*3)+1/(3*4)+....+1/(n*(n+1)) 0 25 FIBONACCI'S SEQUENCE AND KEPLER'S DEFINITION 0 26 SPECIAL SERIES Go to Begin 15 *** ZM15 - TRANSLATION ROTATION AND TRANSFORMATION 0 01 HORIZONTAL SHEAR TRANSFORMATION 0 02 VERTICAL SHEAR TRANSFORMATION 0 03 DILATATION 0 04 HORIZONTAL STRETCH 0 05 VERTICAL STRETCH 0 06 PROJECTION ON X-AXIS 0 07 PROJECTION ON Y-AXIS 0 08 MATRIX OF TRNSFORMATION 0 09 MATRIX OF TRNSFORMATION 0 10 MATRIX OF TRNSFORMATION 0 11 MATRIX OF TRNSFORMATION 0 12 GIVE MATRIX AND DATA 0 13 REFLECTION ABOUT X-AXIS 0 14 REFLECTION ABOUT Y-AXIS 0 15 REFELCTION ABOUT LINE Y=X 0 16 REFLECTION ABOUT LINE Y=-X 0 17 REFLECTION OF ELLIPSE ABOUT LINE Y=X 0 18 REFLECTION OF YSIN(X) ABOUT LINE Y=X 0 19 REFLECTION OF YCOS(X) ABOUT LINE Y=X 0 20 REFLECTION OF ELLIPSE ABOUT LINE Y=-X 0 21 REFLECTION OF YSIN(X) ABOUT LINE Y=-X 0 22 REFLECTION OF YCOS(X) ABOUT LINE Y=-X 0 23 ROTATION : ELLIPSE 0 24 ROTATION : HYPERBOLA 0 25 ROTATION : PARABOLA 0 26 TRANSFORMATION OF A LINE OR A PARABOLA 0 27 TRANSFORMATION OG A FUNCTION 0 28 Y=SIN(A) AND Y=a+b*SIN(c*A+d) 0 29 Y=COS(A) AND Y=a+b*COS(c*A+d) 0 30 Y=X^2 AND Y=a+b*(c*A+d)^2 0 31 CONIC SECTION : TRNASLATION Go to Begin 16 *** ZM16 - MIRRORS LENZ AND REFLECTION LOW 0 01 CONCAVE MIRROR 0 02 CONVEX MIRROR 0 03 CONCAVE LENZ 0 04 CONVEX LENZ 0 05 PROJECT WITH ELEVATION 0 06 PROJECT WITH DEPRESSION 0 07 REFLECTION OF PARABOLA 0 08 REFLECTION OF ELLIPSE 0 09 REFLECTION OF HYPERBOLA 0 10 FOCAL POINT OF CONCAVE MIRROR 0 11 FOCAL POINT OF CONVEX MIRROR 0 12 FOCAL POINT OF CONCAVE LENZ 0 13 FOCLA POINT OF CONVEX LENZ 0 14 S.H.M. 0 15 EATH TUNNEL (S.H.M.) 0 16 VERTICAL DISTANCE OF MOVING WHEEL Go to Begin 17 *** ZM17 - SOLVE POLYNOMIAL EQUATION AND FIND F(a+bi) 0 01 Equation : 1st degree 0 02 Equation : 2nd degree 0 03 Equation : 3rd degree 0 04 Equation : 4th degree 0 05 Equation : 5th degree 0 06 Roots : F(X)=4th degree F(a+bi)= ? 0 07 Roots : Give a b c d e and 4 roots 0 08 Roots : Give 4 real roots find coefficients 0 09 Roots : F(X)=5th degree F(a+bi) = ? 0 10 Roots : Give a b c d e f and 5 roots 0 11 Roots : give 5 real roots find coefficients Go to Begin 18 *** ZM18 - NORMAL DISTRIBUTION AND STUDENT t DISTRIBUTION 0 01 NORMAL DISTRIBUTION : CALCULATION 0 02 NORMAL DISTRIBUTION : DISTRIBUTION AND AREA CURVE 0 03 NORMAL DISTRIBUTION : DEMO OF P ( Z < a) 0 04 NORMAL DISTRIBUTION : DEMO OF MEAN AND S.D. 0 05 NORMAL DISTRIBUTION : DEMO OF MEAN IN INTEGRAL 0 06 NORMAL DISTRIBUTION : DEMO OF P( 0 < Z < a) IN INTEGRAL 0 07 NORMAL DISTRIBUTION : GIVE PROBABILITY AND FIND Z VALUE 0 08 STUDENT t DISTRIBUTION : CALCULATION 0 09 STUDENT t DISTRIBUTION : MEAN AND VARIANCE 0 10 STUDENT t DISTRIBUTION : CURVES 0 11 STUDENT t DISTRIBUTION : P(t > a) IN INTEGRAL FORM 0 12 STUDENT t DISTRIBUTION : GIVE P(t < a) FIND a 0 13 STUDENT t DISTRIBUTION : MODE AND 0 14 COMPARE NORMAL AND STUDENT t 0 15 GAMMA DISTRIBUTION : DEMO 0 16 GAMMA DISTRIBUTION : DEMO OF MEAN=DF AND SD=SQR(2*DF) ? 0 17 GAMMA DISTRIBUTION : DISTRIBUTION CURVES : MEAN AND VARIANCE 0 18 GAMMA DISTRIBUTION : FIND P(XG | DF) IF DF AND XG ARE GIVEN 0 19 GAMMA DISTRIBUTION : FIND XG IF DF AND P(XG > a) ARE GIVEN 0 20 GAMMA DISTRIBUTION : LIST XC AND F(XC) 0 21 GAMMA DISTRIBUTION : FIND MODE AND AREA=.5 0 22 BINOMIAL DISTRIBUTION : n < 30 0 23 BINOMIAL DISTRIBUTION : PASCAL TRIANGLE 0 24 BINOMIAL DISTRIBUTION : FIND C(N;R) 0 25 BINOMIAL DISTRIBUTION : FIND C(N;R)*Q^(N-R)*P^(R) 0 26 BINOMIAL DISTRIBUTION : APPROXIMATE MEAN AND SD 0 27 CHI-SQUARE DISTRIBUTION : P(XC > A) 0 28 F-DISTRIBUTION : P(XF > A) 0 29 GAMMA FUNCTION Go to Begin 19 *** ZM19 - D10TOOL (GRAPHICAL CALCULATOR) 0 01 X^N (N=INTEGERS) 0 02 X^Y (Y=FRACTION; EG 05) 0 03 EXP(X) 0 04 LOG(X) (BASE e) 0 05 LOG(X) (BASE 10) 0 06 n FACTORIAL (n!) 0 07 PERMUTATION P(n;r) 0 08 COMBINATION C(n;r) 0 09 Y=SIN(X) (X IN DEG) 0 10 Y=COS(X) (X IN DEG) 0 11 Y=TAN(X) (X IN DEG) 0 12 A=arcSIN(X) 0 13 A=arcCOS(X) 0 14 A=arcTAN(X) 0 15 COSINE LAW (SAS or SSS) 0 16 SINE LAW (ASS) 0 17 HYPERBOLIC FUNCTIONS (E.G. Y=SINH(X)) 0 18 POINTS AND LINES : DISATANCE; SLOPE ETC 0 19 FIND F(a) : QUADRARIC AND CUBIC 0 20 ROOTS AND FACTORS : QUADRATIC AND CUBIC 0 21 AREA : SQUARE; RECTANGLE; PARRALLELOGRAM ETC 0 22 AREA OF TRIANGLE : BASE AND HEIGHT 0 23 AREA OF TRIANGLE : 3 SIDES (SSS) 0 24 AREA OF TRIANGLE : SAS 0 25 AREA OF TRIANGLE : 3 POINTS 0 26 FIND IN-CENTER AND RADIUS OF TRIANGLE 0 27 FIND EX-CENTER AND RADIUS OF TRIANGLE 0 28 PARAMETRIC : E.G. X=TAN(t) AND Y=SEC(t) 0 29 PARAMETRIC : X=F(t) AND Y=G(t) 0 30 STATISTICS : PROBABILITY (CALCULATOR) Go to Begin 20 *** ZM20 - TRIG1213.BAS 0 01 SIN(A+B)=SIN(A)*COS(B)+COS(A)*SIN(B) 0 02 COS(A+B)=COS(A)*COS(B)-SINS(A)*SIN(B) 0 03 TAN(A+B)=(TAN(A)+TAN(B))/(1-TAN(A)*TAN(B)) 0 04 THE REQUIRED GEOMETRICAL DIAGRAM FOR SIN(A+B) 0 05 SIN(A-B)=SIN(A)*COS(B)-COS(A)*SIN(B) 0 06 COS(A-B)=COS(A)*COS(B)+SINS(A)*SIN(B) 0 07 TAN(A-B)=(TAN(A)-TAN(B))/(1+TAN(A)*TAN(B)) 0 08 THE REQUIRED GEOMETRICAL DIAGRAM FOR SIN(A-B) 0 09 PROVE SINE LAW AND SHOW R=abc/(AREA OF TRIANGLE) 0 10 PROVE COSINE LAW 0 11 PROVE PYTHGORIAN LAW 0 12 SIN(A)=SQR(s(s-a)(s-b)(s-c))/(2bc) 0 13 AREA OF TRIANGLE = SQR(s(s-a)(s-b)(s-c)) 0 14 PROVE THAT SIN(A/2) = SQR((s-b)*(s-c)/(2*b*c)) 0 15 PROVE THAT COS(A/2) = SQR(s*(s-a)/(b*c)) 0 16 PROVE THAT TAN(A/2) = SQR((s-b)*(s-c)/s*(s-a)) 0 17 RADIUS OF INCIRCLE OF TRIANGLE 0 18 RADIUS OF EXCIRCLE OF TRIANGLE 0 19 GRAVITY CENTER AND MEADIANS 0 20 ORTHOCENTER AND PEDAL TRAINGLE 0 21 ESCENTERS AND EXCENTRAL TRIANGLE Go to Begin 21 *** ZM21 - TRIG1314 0 01 TRIGONOMETRICAL RATIOS : DEFINITIONS 0 02 TRIGONOMETRICAL FORMULA : PYTHAGOREAN RELATIONS 0 03 TRIGONOMETRICAL FORMULA : SUM OF ANGLES 0 04 TRIGONOMETRICAL FORMULA : MULTIPLE ANGLES 0 05 TRIGONOMETRICAL FORMULA : HALF ANGLES 0 06 TRIGONOMETRICAL FORMULA : SUM OF FUNCTIONS 0 07 TRIGONOMETRICAL FORMULA : PRODUCT FUNCTIONS 0 08 TRIGONOMETRY AND ALGEBRA : COMPARISON EXAMPLE 0 09 TRIGONOMETRY AND ALGEBRA : COMPARISON EXAMPLE 0 10 SIN(18) AND COS(18) 0 11 FLORAL AND STAR PATTERNS 0 12 FLORAL AND STAR PATTERNS 0 13 CONIC SECTIONS IN POLAR FORM WITH D AND e 0 14 TRIGONOMETRICAL FUNCTIONS : PERIODS 0 15 TRIGONOMETRICAL FUNCTIONS : EVEN FUNCTION 0 16 TRIGONOMETRICAL FUNCTIONS : ODD FUNCTION 0 17 IMPLICIT F(X;Y) = 0 TO POLAR FORM 0 18 PARAMETRIC EQUATIONS : CYCLOIDS 0 19 PARAMETRIC EQUATIONS : X=SEC(t) AND Y=TAN(t) 0 20 TRIGONOMETRY TO ALGEBRA 0 21 ALGEBRA TO TRIGONOMETRY 0 22 SOLVE X^N+1=0 0 23 SOLVE X^N-1=0 0 24 TRIGONOMETRY : PYTHAGRIAN RELATION Go to Begin 22 *** ZM22 - TRIG1011 0 01 TRIGONOMETRICAL RATIOS : DEFINITIONS 0 02 IF SIN(X) IS KNOWN FIND OTHER RATIOS 0 03 CO-RELATED ANGLE 90 - A EG SIN( 90-A)=+COS(A) 0 04 CO-RELATED ANGLE 90 + A EG SIN( 90+A)=+COS(A) 0 05 CO-RELATED ANGLE 270- A EG SIN(270-A)=-COS(A) 0 06 CO-RELATED ANGLE 270+ A EG SIN(270+A)=-COS(A) 0 07 RELATED ANGLE 180 - A EG SIN(180-A)=+SIN(A) 0 08 RELATED ANGLE 180 + A EG SIN(180+A)=-SIN(A) 0 09 RELATED ANGLE 360 - A EG SIN(360-A)=-SIN(A) 0 10 RELATED ANGLE 360 + A EG SIN(360+A)=+SIN(A) 0 11 PYTHAGOREAN RELATIONS : UINT CIRCLE AND UNIT HYPERBOLA 0 12 SUM OF ANGLES 0 13 MULTIPLE ANGLES 0 14 HALF ANGLES 0 15 SUM OF FUNCTIONS 0 16 PRODUCT FUNCTIONS 0 17 SPECICAL ANGLES : 0 90 180 270 360 DEGREES 0 18 SPECICAL ANGLES : 30 45 60 120 135 150 DEGREES 0 19 SPECICAL ANGLES : 15 225 675 75 DEGREES 0 20 SPECICAL ANGLES : 9 18 36 DEGREES 0 21 TRIGONOMETRY : PERIODIC PROPERTIES 0 22 TRIGONOMETRY : EVEN FUNCTION PROPERTIES 0 23 TRIGONOMETRY : ODD FUNCTION PROPERTIES 0 24 SINE LAW AND COSINE LAW 0 25 INVERSE TRIGONOMETRICAL FUN CTIONS 0 26 TRIGONOMETRY : SPECIAL TOPICS 0 27 TRIGONOMETRY : EXAMPLES 0 28 SKETCH TOOL INFORMATION AND SKETCH Go to Begin 23 *** ZM23 - GEOM.BAS 0 01 ONE POINT 0 02 ANGLE : VARIOUS NAMES 0 03 TRIANGLE : VARIOUS NMAES 0 04 TRIANGLE : FIVE CENTERS 0 05 QUADRILATER : VARIOUS NAMES 0 06 POLYGON : VARIOUS NAMES 0 07 CIRCLE : LOCUS AND TANGENT 0 08 CIRCLE : ANGLE; CHORD; TANGENT 0 09 SOLID DIAGRAMS : VOLUME FORMULA 0 10 POLYGONS AND APPROXIMATE VALUE OF PI 0 11 TRIANGLES AND THEOREMS 0 12 BISECT AN ANGLE Go to Begin 24 *** ZM24 - GEOM1011 0 01 PYTHAGOREAN LAW : APPLICATION 0 02 TRIANGLE : MID POINT THEORY 0 03 RIGHT TRIANGLE : ONE ANGLE IS 30 DEGREES 0 04 ANGLE : BISECT AN ANGLE 0 05 CIRCLE : PASSING 3 GIVEN POINTS 0 06 CIRCLE : INSCRIBING A TRIANGLE 0 07 MEDIANS : DRAW TRIANGLE USING MEDIANS 0 08 TANGENT TO CIRCLE : DEMO 0 09 TANGENT TO CIRCLE (POINT ON CIRCLE) 0 10 TANGENT TO CIRCLE (POINT OUTSIDE CIRCLE) 0 11 TANGENT : ANGLE BETWEEN TWO TANGENTS 0 12 GOLDEN RECTANGLE 0 13 TRIANGLE : INCENTER AND BD = s - b 0 14 TRIANGLE : ESCENTER AND BE = s 0 15 TRIANGLE : CHORD-CHORD RELATION 0 16 FIND SQR(2) GEOMETRICALLY 0 17 SOLVE X^2+2X-1=0 GEOMETRICALLY 0 18 INTERSECTION OF TWO LINES 0 19 3 POINTS : FIND ANGLES AND SIDES 0 20 3 POINTS : FIND ESCENTER AND ES-RADIUS 0 21 3 POINTS : FIND INCENTER AND IN-RADIUS 0 22 3 POINTS : FIND EXCENTER AND EX-RADIUS Go to Begin 25 *** ZM25 - GEOM1314 0 01 GRAVITY CENTER 0 02 ORTHOCENTER 0 03 EXCENTER CENTER 0 04 ORTHOCENTER EXCENTER GRAVITY CENTER ARE COLINEAR 0 05 CONCYCLIC 0 06 NINE POINTS CIRCLE Go to Begin 26 *** ZM26 - ONE POINT 0 01 POINT ON THERMOMETER 0 02 POINT ON RECANGULAR COORDINATES 0 03 POINT ON POLAR COORDINATES 0 04 POINT ON COMPLEX NUMBER COORDINATES 0 05 (a+bi) + (c+di) 0 06 (a+bi) - (c+di) 0 07 (a+bi) * (c+di) 0 08 (a+bi) / (c+di) 0 09 DEMOIVRE THEOREM : (a+bi)^n 0 10 DEMOIVRE THEOREM : (a+bi)^(1/n) 0 11 DEMOIVRE THEOREM : X^n +1=0 0 12 DEMOIVRE THEOREM : X^n -1=0 0 13 DEMOIVRE THEOREM : X^n +1=0 0 14 DEMOIVRE THEOREM : X^n +i=0 0 15 ONE REAL ROOT OF EQUATION 0 16 CURVE OF X^N+1=0 0 17 CURVE OF X^N-1=0 0 18 CURVE OF Y=(X-1)^N 0 19 DECIMAL POINT : VALUE AND POWER 0 20 EULER FORMULA and e.i.PI 0 21 OCTAL NUMBER : COEFF POSITION AND POWER 0 22 OCTAL NUMBER : COEFF POSITION AND POWER 0 23 OCTAL NUMBER : CONVERSION EXAMPLE 0 24 POINT ON ONE NUMBER LINE 0 25 POINT ON TWO NUMBER LINES (X;Y) 0 26 POINT ON DIRECTION LINE (R;A) 0 27 POINT ON COMPLEX NUMBER SYSTEM a+b*i Go to Begin 27 *** XM27 - TWO POINTS 0 01 TWO POINT : DISTANCE BETWEE TWO POINTS 0 02 DISTANCE FORMULA : AC+BC = MINIMUM 0 03 DISTANCE FORMULA : FREE FALLING BODY 0 04 DISTANCE FORMULA : FREE FALLING BODY FORMULA 0 05 MID-POINT OF TWO POINTS (A LINE) 0 06 TWO POINTS : MOVING POINT KEEP SAME DISTANCE FROM FIX POINT 0 07 TWO POINTS : LINES 0 08 BISECTOR OF A LINE 0 09 TANGENT OF Y=X^2 0 10 LINEAR INTERPOLATION TO VARIOUS CURVES 0 11 SLOPE CURVE OF QUADRATIC FUNCTION 0 12 SLOPE CURVE OF Y=SIN(X) 0 13 SLOPE CURVE OF CUBIC FUNCTION 0 14 SLOPE CURVE OF Y=EXP(X) 0 15 Y=F(X) AND Y=1/F(X) WITH F(X) HAS TWO ZEROS 0 16 Y=X^N+1 NO ZERO VALUE IF N IS EVEN 0 17 Y=X^N-1 HAS TWO ZERO VALUES IF N IS EVEN 0 18 QUADRATIC EQUATION A*X^2+B*X+C=0 0 19 POSITIONS OF ROOTS Go to Begin 28 *** ZM28 - POINT3.BAS 0 01 TRIANGLE AND EX-CENTER 0 02 TRIANGLE AND IN-CENTER 0 03 TRIANGLE AND ES-CENTER 0 04 TRIANGLE AND ORTHO-CENTER 0 05 TRIANGLE AND GRAVITY-CENTER 0 06 THEOREMS OF TRIANGLE 0 07 THREE POINTS : FIND CIRCLE CENTER AND RADIUS 0 08 LOCUS OF C; IF AB FIXED AND ANGLE ACB KEEPS SAME 0 09 LOCUS OF GRAVITY CENTER OF ABC; IF AB FIXED & ANGLE ACB SAME 0 10 LOCUS OF HIGHT FEET OF TRIANGLE ABC IF AB FIXED AND ACB SAME 0 11 THREE POINTS : PARABOLA 0 12 THREE POINTS : AREA OF TRIANGLE 0 13 THREE POINTS : LOCUS OF BISECTOR OF LINE 0 14 THREE POINTS : LOCUS OF CIRCLE 0 15 THREE POINTS : LOCUS OF ELLIPSE 0 16 THREE POINTS : LOCUS OF PARABOLA 0 17 THREE POINTS : LOCUS OF HYPERBOLA 0 18 THREE POINTS : DISTANCE 0 19 AREA OF TRIANGLE 0 20 Y=F(X) AND Y=1/F(X) : F(X) HAS 3 ZERO VALUES 0 21 ANGLES 0 22 BISECT AN ANGLE Go to Begin 29 *** ZM29 - POINT4.BAS 0 01 FOUR POINTS : CURVE OF CUBIC FUNCTION 0 02 FOUR POINTS : QUADRILATERALS 0 03 FOUR POINTS : CIRCUMSCRIBED CIRCLE 0 04 FOUR POINTS : LOCUS OF D IF A B C D CONCYCLIC 0 05 INSCRIBED CIRCLE OF A QUADRILATERAL 0 06 LOCUS OF POINT D RELATED WITH POINT C 0 07 INTERSECTION OF TWO LINES 0 08 ANGLE BETWEEN TWO LINES 0 09 PARALLEL LINES 0 10 MID-POINTS OF QUADRILATERAL 0 11 FOUR POINTS : SPECIAL CONCYCLIC QUESTION 0 12 FOUR POINTS : CHANGE SQUARE TO EQUAL AREA TRIANGLE 0 13 FOUR POINTS : CHANGE RECTANGLE TO EQUAL AREA TRIANGLE 0 14 FOUR POINTS : CHANGE QUADRILATERAL TO EQUAL AREA TRIANGLE 0 15 FOUR POINTS : BISECTORS OF A PARALLELOGRAM 0 16 AREA UNDER CURVE Y=EXP(-X^2) FROM X=0 TO X=4 0 17 AREA UNDER CURVE Y=SECH(X) FROM X=0 TO X=15 0 18 AREA UNDER CURVE Y=4/(1+X^2) FROM X=0 TO X=1 0 19 AREA UNDER CURVE Y=SIN(X)/X FROM X=0 TO X=10*PI 0 20 Y=F(X) AND Y=1/F(X) WITH F(X) HAVING 4 ZEROS Go to Begin 30 *** ZM30 - POINT5 AND POINT6 0 01 FIVE POINTS : PENTAGON 0 02 FIVE POINTS : CHANGE PENTAGON TO EQUAL AREA TRIANGLE 0 03 FIVE POINTS : QUARTIC FUNCTION 0 04 FIVE POINTS : STARS 0 05 FIVE POINTS : AREA OF PENTAGON 0 06 FIVE POINTS : X^n+1=0 AND X^n-1=0; n=5 0 07 FIVE POINTS : SOLVE SPECIAL QUARTIC EQUATION 0 08 FIVE POINTS : Y=F(X) AND Y=1/F(X) WITH F(X) HAVING 5 ZEROS 0 09 FIVE POINTS : 5 COMPLEX ROOTS 0 10 SIX POINTS : HEXAGON 0 11 SIX POINTS : STARS 0 12 SIX POINTS : SIX COMPLEX ROOTS 0 13 SIX POINTS : SOLVE SPECIAL QUAINT EQUATION 0 14 SIX POINTS : QUAINT FUNCTION 0 15 SUN PATTERNS Go to Begin 31 *** ZM31 - CHORD.BAS 0 01 CHORD IN GEOMETRY : LOCUS OR EXTENDED CHORD 0 02 CHORD IN GEOMETRY : LOCUS OF RADIUS BISECT CHORD 0 03 CHORD IN GEOMETRY : PA*PB=PC*PD BY MEASUREMENT 0 04 CHORD IN GEOMETRY : PA*PB=PC*PD BY TRIANGLE SIMILARITY 0 05 CHORD IN GEOMETRY : CHORD AND CHORD RELATIONS 0 06 CHORD IN GEOMETRY : CHORD AND TANGNET RELATIONS 0 07 CHORD IN ALGEBRA : ALGEBRA RELATED WITH SINE FUNCTIONS 0 08 CHORD IN TRIGONOMETRY : 1-SIN(X)^2 = COS(X)^2 0 09 CHORD IN TRIGONOMETRY : Y=SIN(X) AND Y=COS(X) 0 10 CHORD IN TRIGONOMETRY : Y=SIN(X) AND Y=arcSIN(X) 0 11 CHORD IN TRIGONOMETRY : Y=arcSIN(SIN(X)) AND Y=SIN(arcSIN(X)) 0 12 CHORD IN TRIGONOMETRY : Y=SIN(X)/X 0 13 CHORD IN TRIGONOMETRY : arcSIN(X) = arcTAN(X/SQR(1-X^2)) 0 14 CHORD IN TRIGONOMETRY : RELATIONS OF CHORD AND SECANT 0 15 CHORD IN ANLAYTIC GEOMETRY : ARE THEY GRAPHIC IMAGES OR TWINS ? 0 16 CHORD IN ANLAYTIC GEOMETRY : R=SIN(N*A)^M AND R=COS(N*A)^M 0 17 CHORD IN ANLAYTIC GEOMETRY : R=1+1*SIN(N*A)^M AND R=1+1*COS(N*A)^M 0 18 CHORD IN ANLAYTIC GEOMETRY : R=1+2*SIN(N*A)^M AND R=1+2*COS(N*A)^M 0 19 CHORD IN ANLAYTIC GEOMETRY : R=1+2*SIN(N*A)^M AND R=1-2*SIN(N*A)^M 0 20 CHORD IN ANLAYTIC GEOMETRY : PETALS OF CHORD FUNCTIONS (2 GRAPHS) 0 21 CHORD IN ANLAYTIC GEOMETRY : R=2+4*SIN(p*A/q)^M (18 GRAPHS) 0 22 CHORD IN CALCULS : HOW DOES DERIVATIVE CHANGE Y=SIN(X) ? 0 23 CHORD IN CALCULS : HOW DOES INTEGRAL RECOVER Y=SIN(X) ? 0 24 CHORD IN CALCULS : SUBSTITUTION X=SIN(A) FOR INTEGRATION (1) 0 25 CHORD IN CALCULS : SUBSTITUTION X=SIN(A) FOR INTEGRATION (2) 0 26 CHORD IN CALCULS : SERIES OF SIN(X) FOR COMPUTER 0 27 CHORD IN CALCULS : SERIES OF arcSIN(X) FOR COMPUTER 0 28 CHORD IN CALCULS : Y=1/SQR(1-X^2) AND arcSIN(X) 0 29 CHORD IN CALCULS : DERIVATIVES OF SIN(X) AND SHM Go to Begin 32 *** ZM32 - SECANTBAS 0 01 SECANT IN GEOMETRY : LOCUS RELATED WITH A SECANT 0 02 SECANT IN GEOMETRY : SECANT AND SECANT PA*PB=PC*PD 0 03 SECANT IN GEOMETRY : PA*PB=PC*PD BY MEASUREMENT 0 04 SECANT IN GEOMETRY : SECANT AND CHORD SEC(A) = 1/COS(A) 0 05 SECANT IN GEOMETRY : SECANT AND TANGENT RELATIONS 0 06 SECANT IN ALGEBRA : EXPRESS ALGEBRA IN SECANT FORM 0 07 SECANT IN TRIGONOMETRY : 1+TAN(X)^2 = SEC(X)^2 0 08 SECANT IN TRIGONOMETRY : Y=SEC(X) AND Y=CSC(X) 0 09 SECANT IN TRIGONOMETRY : Y=SEC(X) AND Y=arcSEC(X) 0 10 SECANT IN TRIGONOMETRY : Y=arcSEC(SEC(X) AND Y=SEC(arcSEC(X)) 0 11 SECANT IN TRIGONOMETRY : Y=SEC(X)/X 0 12 SECANT IN TRIGONOMETRY : PROVE THAT arcSEC(X) = arcTAN(SQR(X^2-1)) 0 13 SECANT IN TRIGONOMETRY : SEC(X) AND COS(X) 0 14 SECANT IN ANLAYTIC GEOMETRY : STAR AND SUN PATTERNS 0 15 SECANT IN ANLAYTIC GEOMETRY : R=SEC(N*A)^M AND R=CSC(N*A)^M 0 16 SECANT IN ANLAYTIC GEOMETRY : R=1+SEC(N*A)^M AND R=1+CSC(N*A)^M 0 17 SECANT IN ANLAYTIC GEOMETRY : R=1+2*SEC(N*A)^M AND R=1+2*CSC(N*A)^M 0 18 SECANT IN ANLAYTIC GEOMETRY : THOEREM OF PETALS OF SECANT FUNCTIONS 0 19 SECANT IN ANLAYTIC GEOMETRY : THOEREM OF TWINS OF SECANT FUNCTIONS 0 20 SECANT IN CALCULS : HOW DOES DERIVATIVE CHANGE Y=SEC(X) ? 0 21 SECANT IN CALCULS : HOW DOES INTEGRAL RECOVER Y=SEC(X) ? 0 22 SECANT IN CALCULS : SUBSTITUTION X=SEC(A) FOR INTEGRATION (1) 0 23 SECANT IN CALCULS : SUBSTITUTION X=SEC(A) FOR INTEGRATION (2) Go to Begin 33 *** ZM33 - TANGENTBAS 0 01 TANGENT IN GEOMETRY : HOW TO DRAW TANGENT TO A CIRCLE ? 0 02 TANGENT IN GEOMETRY : TANGENT AND SECANT PT*PT=PA*PB 0 03 TANGENT IN GEOMETRY : PT*PT=PA*PB BY MEASUREMENT 0 04 TANGENT IN GEOMETRY : PT*PT=PA*PB BY ANALYTIC GEOMETRIC METHOD 0 05 TANGENT IN GEOMETRY : TANGENT AND CHORD RELATIONS 0 06 TANGENT IN GEOMETRY : TANGENT AND SECANT RELATIONS 0 07 TANGENT IN ALGEBRA 0 08 TANGENT IN TRIGONOMETRY : 1+TAN(X)^2 = SEC(X)^2 0 09 TANGENT IN TRIGONOMETRY : Y=TAN(X) AND Y=COT(X) 0 10 TANGENT IN TRIGONOMETRY : Y=TAN(X) AND Y=arcTAN(X) 0 11 TANGENT IN TRIGONOMETRY : Y=arcTAN(TAN(X) AND Y=TAN(arcTAN(X)) 0 12 TANGENT IN TRIGONOMETRY : Y=TAN(X)/X 0 13 TANGENT IN TRIGONOMETRY : arcSIN(X) = arcTAN(X/SQR(1-X^2)) 0 14 TANGENT IN ANLAYTIC GEOMETRY : TANGENT EQUATION OF CIRCLE 0 15 TANGENT IN ANLAYTIC GEOMETRY : R=TAN(N*A) AND R=COT(N*A) 0 16 TANGENT IN ANLAYTIC GEOMETRY : R=a+b*TAN(N*A)^2 AND R=a+b*COT(N*A)^2 0 17 TANGENT IN ANLAYTIC GEOMETRY : PT*PT=PA*PB BY ANALYTIC GEOMETRIC METHOD 0 18 TANGENT IN ANLAYTIC GEOMETRY : RATIONAL COEFF THOEREM OF TANGENT FUNCTIONS 0 19 TANGENT IN ANLAYTIC GEOMETRY : EQUATION OF TANGENT TO POINT ON A CIRCLE 0 20 TANGENT IN CALCULS : HOW DOES DERIVATIVE CHANGE Y=TAN(X) ? 0 21 TANGENT IN CALCULS : HOW DOES INTEGRAL RECOVER Y=TAN(X) ? 0 22 TANGENT IN CALCULS : SUBSTITUTION X=TAN(A) FOR INTEGRATION (1) 0 23 TANGENT IN CALCULS : SUBSTITUTION X=TAN(A) FOR INTEGRATION (2) 0 24 TANGENT IN CALCULS : SERIES OF TAN(X) FOR COMPUTER 0 25 TANGENT IN CALCULS : SERIES OF arcTAN(X) FOR COMPUTER 0 26 TANGENT IN CALCULS : Y=1/(1+X^2) AND arcTAN(X) Go to Begin 34 *** ZM34 - INVERSE AND CONIC 0 01 CODE # TO ASCII SYMBOL 0 02 KEYBOARD KEY TO CODE # 0 03 LIST ASCII CODE # AND SYMBOLS 0 04 INVERSE : LINEAR FUNCTION 0 05 INVERSE : QUADRATIC FUNCTION 0 06 ELLIPSE : FIND e AND DIRECTRIX 0 07 PARABOLA : FIND FOCUS AND DIRECTRIX 0 08 HYPERBOLA : FIND FOCUS AND DIRECTRIX 0 09 CIRCLE : FIND R AND CENTER (h;k) 0 10 ELLIPSE : FIND a;b AND CENTER (h;k) 0 11 HYPERBOLA : FIND A;B AND CENTER (h;k) 0 12 ELLIPSE : ELLIMINATE XY TERMS Go to Begin 35 *** ZM35 - MATRIX AND DETERMINANT 0 01 PRODUCTION OF SQUARE MATRICES 0 02 PRODUCTION OF REACTANGULAR MATRICES 0 03 SQUARE MATRIX TO THE POWER OF M 0 04 FIND ADJOINT MATRIX 0 05 FIND INVERSE MATRIX USING ADJOINT MATRIX 0 06 FIND INVERSE MATRIX BY PIVOT METHOD 0 07 EVALUATE DETERMINANT OF MATRIX 0 08 EVALUATE DETERMINANT OF MATRIX Go to Begin 36 00 *** ZMF02 - DEMOGRAF MENU 0 01 SINE AND COSINE 0 02 TANGENT AND COTANGENT 0 03 SECANT AND COSECANT 0 04 CYCLOIDS AND PARAMETRIC EQUATIONS 0 05 SMOOTHING AND INTERPOLATION 0 06 COLOR SURFACE (IN XYZGRAF.EXE) 0 07 FACTORS OF Y=F(X) 0 08 CURVES : Y=SIN(X)^M AND Y=COS(X)^M 0 09 SPIRALS AND FISHES 0 10 HYPERBOLIC REFLECTOR (IN CONIC.EXE) 0 11 ROOTS AND FUNCTIONS 0 12 SPECIAL Y=F(X) FUNCTIONS 0 13 FUNCTIONS AND ITS INVERSE (1) 0 14 FUNCTIONS AND ITS INVERSE (2) 0 15 DERIVATIVES (IN XYGRAF2.EXE) 0 16 INTEGRATION (IN XYGRAF2.EXE) 0 17 SIX CIRCULAR FUNCTIONS AND INVERSE 0 18 SIX HYPERBOLIC FUNCTIONS AND INVERSE 0 19 CONIC SECTIONS R=D*e/(1-e*COS(A)) 0 20 Y=SIN(X)/X AND WAVE SUPERIMPOSITION Go to Begin 37 00 *** ZMF04 - QUIKGRAF 0 01 FIND F(a) : F(X) WHEN X=a 0 02 FIND INVERSE F(X) WHEN Y=b 0 03 FIND F(X); EXP(X); LOG(X) ETC 0 04 FIND SIN(A); COS(A) ETC 0 05 FIND ARCSIN(V); ARCCOS(V) ETC 0 06 FIND SINH(X); COSH(X) ETC 0 07 FIND ARCSINH(V); ARCCOSH(V) ETC 0 08 GRAPHS OF Y=F(X) & Y=Fx(X) 0 09 GRAPHS OF Y=F(X) & ITS INTEGRAL 0 10 PARAMETRIC : X=TAN(t) & Y=SEC(t) 0 11 PARAMETRIC : X=F(t) & Y=G(t) Go to Begin 38 00 *** ZM38 COORDINATE GEOMETRY 0 01 PARALLELOGRAM : DIAGONALS NOT EQUAL 0 02 RHOMBUS : DIAGONALS MAKE 90 DEGREES 0 03 COLINEAR 0 04 MID-POINT THEORY OF TRINAGLE 0 05 ONE POINT TO TWO FIXED POINTS HAS SAME DISANCE 0 06 DISTANCE OF A POINT TO LINE A*X+B*Y+C=0 0 07 FOUR POINTS A B C D : LINE AC PERPENDICULAR LINE BD 0 08 DISTANCE BETWEEN TWO PARALLEL LINES 0 09 EQUATION OF LINE IN VARIOUS FORMS 0 10 TWO LINES : ANGLE BETWEEN TWO LINES 0 11 THREE LINES : INEQUALITIES Y>A*X+B AND Y 0 13 TRIANGLE : AREA FORMULAE 0 14 INCIRCLE : r=(s-a)*TAN(A/2) 0 15 SINE LAW : SSA GIVEN. FIND OTHER SIDES & ANGLES 0 16 COSINE LAW : GIVE SAS. FIND OTHER SIDES & ANGLES 0 17 HERON FORMULA : GIVE SSS. FIND ANGLES 0 18 SOLVE QUADRATIC EQUATION 0 19 TWO LINEAR FUNCTION Go to Begin 39 00 *** ZM39 (ZMF03) - TESTGRAF 0 01 R=SIN(N*A)^M AND R1/2 0 02 R=SIN(N*A)^M AND R1/2 0 03 R=TAN(N*A)^M AND FIND R 0 04 R=SEC(N*A)^M AND FIND R 0 05 R=(1-SIN(A)) AND RSIN(A) 0 06 PARABOLA R=1/(1-COS(A)) 0 07 ELLIPSE R=1/(1-.75*COS(A)) 0 08 HYPERBOLA R=1/(1-2*COS(A)) 0 09 R=CSC(N*A)^M AND FIND R 0 10 R=SIN(N*A)^M AND FIND R 0 11 Y=1/(1+X^2) 0 12 Y=1/SQR(1-X^2) 0 13 Y=1/(X*SQR(X^2-1)) 0 14 TWO CURVES : Y=a*X^2+b*X+c AND Y=p*X^2+q*X+r 0 15 Y=EXP(-X^2) 0 16 MINIMUM AND MAXIMUM POINTS 0 17 REAL ROOTS AND FUNCTIONS 0 18 CONIC1 : PARABOLA 0 19 CONIC2 : ELLIPSE 0 20 CONIC3 : HYPERBOLA 0 21 POLYNOMIAL FIT TO Y=F(X) Go to Begin 40 *** ZM40 - CONIC 0 01 CIRCLE : (X-h)^2 + (Y-k)^2 = r^2 0 02 ELLIPSE : (X-h)^2/a^2 + (Y-k)^2/b^2 = 1 0 03 HYPERBOLA : (X-h)^2/a^2 - (Y-k)^2/b^2 = 1 0 04 CIRCLE : X=h+R*COS(t) & Y=k+R*SIN(t) 0 05 ELLIPSE : X=h+a*COS(t) & Y=k+b*SIN(t) 0 06 ELLIPSE : X=h+a*SIN(t) & Y=k+b*COS(t) 0 07 HYPERBOLA : X=h+a*COS(t) & Y=k+b*SIN(t) 0 08 HYPERBOLA : X=h+a*COS(t) & Y=k+b*SIN(t) 0 09 CONIC SECTION : R=D*e/(1-e*SIN(A)) 0 10 CONIC SECTION : R=D*e/(1+e*SIN(A)) 0 11 CONIC SECTION : R=D*e/(1-e*COS(A)) 0 12 CONIC SECTION : R=D*e/(1+e*COS(A)) 0 13 PARABOLA : SKETCH TANGENT USING REFLECTION Go to Begin 41 00 *** COMPUTER 0 01 KEYBOARD NUMBER TO SCREEN 0 02 KEYBOARD AND QB IMMEDIATE MODE 0 03 KEYBOARD AND QB PROGRAM MODE (*) 0 04 KEYBOARD AND QB PROGRAM MODE (/) 0 05 DEFINITION OF OCTAL SYSTEM 0 06 INTEGRAL OCTAL TO DECIMAL NUMBER 0 07 FRACTIONAL OCTAL TO DECIMAL NUMBER 0 08 INTEGRAL DECIMAL TO OCTAL DEMO 0 09 FRACTIONAL DECIMAL TO OCTAL DEMO Go to Begin 42 00 *** PERMUTATION AND COMBINATION 0 01 CLICK HERE (PW=DATE NUMBER) Go to Begin 43 00 *** INEQUALITY 0 01 ABOVE RULE : IF Y-F(X) > 0, POINT ABOVE CURVE Y=(X) 0 02 BELOW RULE : IF Y-F(X) < 0, POINT BELOW CURVE Y=(X) 0 03 Y > (A*X + B) AND Y < (C*X + D) 0 04 Y > (A*X + B), Y < (C*X + D) AND Y > (E*X + F) 0 05 SOLVE X > 4/X. 0 06 SOLVE X^3 > X. 0 07 SOLVE X^2 < 4. 0 08 ARITHMETIC MEAN > GEOMETRIC MEAN (a+b)/2 >= SQR(ab) 0 09 PROVE THAT (a+b+c)/3 >= (abc)^(1/3) Go to Begin 44 00 *** LOCU1314 0 01 CLICK HERE (PW=DATE NUMBER) Go to Begin 45 *** ZM45 - LIMIT 0 01 LIMIT (1+X^n)/(1+X) AS X=-1 0 02 LIMIT (1-X^n)/(1-X) AS X=1 0 03 LIMIT (1+X)/(1+X^n) AS X=-1 0 04 LIMIT (1-X)/(1-X^n) AS X=1 0 05 LIMIT (EXP(X)-X)/X 0 06 LIMIT (1+X)^(1/X) 0 07 LIMIT (1+1/X)^X 0 08 LIMIT (2^X - X)/X 0 09 LIMIT (3^X - X)/X 0 10 LIMIT SIN(X)/X 0 11 LIMIT COS(X)/X 0 12 LIMIT TAN(X)/X 0 13 LIMIT TAN(X) 0 14 LIMIT SEC(X) 0 15 LIMIT AND l'HOSPITAL RULE 0 16 CONVERGENCE SERIES 0 17 SERIES OF FUNCTIONS Go to Begin 46 *** ZM46 SEE TEXTFIG Go to Begin 47 *** ZM47 SEE TEXTFIG Go to Begin 48 *** ZM48 SEE TEXTFIG 0 01 0 02 0 03 0 04 0 05 0 06 Linear & Inverse 0 07 0 08 0 09 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 0 19 0 20 y=((x-1)^M)/(2*x) Go to Begin 49 *** ZM49 - Y=F(X) : ALGEBRA 0 01 QUARTIC FUNCTION : 4 REAL ROOTS 0 02 QUAINT FUNCTION : 5 REAL ROOTS 0 03 Y=X^4-3*X^2+X 0 04 Y=3*X^5-25*X^3+60*X 0 05 Y=|X^2-1| 0 06 Y=|X^2-6*|X|+8| 0 07 SPECIAL FUNCTIONS : Y=SIN(X)/X 0 08 Y > A*X^2+B*X+C 0 09 Y < A*X^2+B*X+C 0 10 QUADRATIC FUNCTION BY 2 REAL ROOTS 0 11 CUBIC FUNCTION BY 3 REAL ROOTS 0 12 INTERSECTION OF Y=X^2 & IT INVERSE 0 13 SOLVE A*X^2+B*X+C > 0 0 14 SOLVE A*X^3+B*X^2+C*X+D > 0 0 15 SOLVE (X^2+2*X-3)/(X^3+5*X^2-17*X-21) 0 16 QUADRATIC FUNCTION : TRANFORMATION FORM 0 17 QUADRATIC FUNCTION : PROPERTIES AND FORMULA 0 18 F(X)=X^2-6*X+8 : DOMAIN AND CURVE INCREASING 0 19 VERTEX AND A POINT ON CURVE ARE GIVEN 0 20 DEFINITION OF TERMS OF QUADRATIC FUNCTIONS 0 21 SLOPE CURVE OF QUADRATIC OR CUBIC FUNCTIONS 0 22 PARABOLA : POLAR TO Y=F(X) AND VICE VERSA 0 23 INVERSE : LINEAR 0 24 INVERSE : QUADRATIC 0 25 Y=A*X^2+B*X+C 0 26 Y=1/(A*X^2+B*X+C) 0 27 Y=1/(1+X^2) 0 28 Y=1/(1-X^2) 0 29 Y=SQR(A*X^2+B*X+C) 0 30 Y=1/SQR(A*X^2+B*X+C) 0 31 TWO REAL ROOTS 0 32 X=A*Y^2+B*Y+C 0 33 Y=1+X^2 AND Y=1/(1+X^2) 0 34 Y=A*X^3+B*X^2+C*X+D 0 35 Y=1/(A*X^3+B*X^2+C*X+D) 0 36 Y=1/(1+X^3) 0 37 Y=1/(1-X^3) 0 38 Y=SQR(A*X^3+...) 0 39 Y=1/SQR(A*X^3+...) 0 40 TWO REAL ROOTS 0 41 X=A*Y^3+B*Y^2+C*Y+D 0 42 Y=(A*X^3+B*X^2+C*X+D)/(S*X^3+T*X^2+U*X+V) 0 43 Y=1/X 0 44 Y=EXP(X) 0 45 Y=EXP(-X^2) 0 46 Y=10^X OR INVERSE OF LOG10(X) 0 47 Y=LOG(X) OR ln(X) 0 48 Y=SQR(X) 0 49 Y=LOG10(X) 0 50 Y=(X^2)*EXP(-X^2) 0 51 Y=(X^3)*EXP(-X^2) 0 52 Y=LN((1+X)/(1-X)) 0 53 Y=(1+X)*LOG(1+X) 0 54 Y=(1-X)*LOG(1-X) 0 55 Y=EXP(-X) 0 56 Y=A*X+B 0 57 Y=A*X^2+B*X+C 0 58 Y=CUBIC 0 61 Y=SIX DEGREE 0 62 Y=(X-A) 0 63 Y=(X-A)*(X-B) 0 64 Y=(X-A)*(X-B)*(X-C) 0 65 Y=(X-A)*(X-B)*... (4 FACTORS) 0 66 Y=(X-A)*(X-B)*... (5 FACTORS) 0 67 Y=(X-A)*(X-B)*... (6 FACTORS) 50 *** ZM50 - Y=F(X) 0 01 Y=SINH(X) & Y=ARCSINH(X) 0 02 Y=COSH(X) & Y=ARCCOSH(X) 0 03 Y=TANH(X) & Y=ARCTANH(X) 0 04 Y=CSCH(X) & Y=ARCCSCH(X) 0 05 Y=SECH(X) & Y=ARCSECH(X) 0 06 Y=COTH(X) & Y=ARCCOTH(X) 0 07 Y=SIN(X) & Y=ARCSIN(X) 0 08 Y=COS(X) & Y=ARCCOS(X) 0 09 Y=TAN(X) & Y=ARCTAN(X) 0 10 Y=CSC(X) & Y=ARCCSC(X) 0 11 Y=SEC(X) & Y=ARCSEC(X) 0 12 Y=COT(X) & Y=ARCCOT(X) 0 13 Y=SINH(X) & Y=ARCSINH(X) 0 14 Y=COSH(X) & Y=ARCCOSH(X) 0 15 Y=TANH(X) & Y=ARCTANH(X) 0 16 Y=CSCH(X) & Y=ARCCSCH(X) 0 17 Y=SECH(X) & Y=ARCSECH(X) 0 18 Y=COTH(X) & Y=ARCCOTH(X) 0 19 Y=SIN(X) & Y=ARCSIN(X) 0 20 Y=COS(X) & Y=ARCCOS(X) 0 21 Y=TAN(X) & Y=ARCTAN(X) 0 22 Y=CSC(X) & Y=ARCCSC(X) 0 23 Y=SEC(X) & Y=ARCSEC(X) 0 24 Y=COT(X) & Y=ARCCOT(X) 0 25 Y=SIN(X) 0 26 Y=COS(X) 0 27 Y=TAN(X) 0 28 Y=CSC(X) 0 29 Y=SEC(X) 0 30 Y=COT(X) 0 31 Y=SIN(X) & Y=CSC(X) 0 32 Y=COS(X) & Y=SEC(X) 0 33 Y=ARCSIN(X) 0 34 Y=ARCCOS(X) 0 35 Y=ARCTAN(X) 0 36 Y=ARCCSC(X) 0 37 Y=ARCSEC(X) 0 38 Y=ARCCOT(X) 0 39 Y=SINH(X) 0 40 Y=COSH(X) 0 41 Y=TANH(X) 0 42 Y=CSCH(X) 0 43 Y=SECH(X) 0 44 Y=COTH(X) 0 45 Y=ARCSINH(X) 0 46 Y=ARCCOSH(X) 0 47 Y=ARCTANH(X) 0 48 Y=ARCCSCH(X) 0 49 Y=ARCSECH(X) 0 50 Y=ARCCOTH(X) 0 51 Y=1/X 0 52 Y=X^3 0 53 Y=-X^3 0 54 y=sin(x) & y=tanh(x) 0 55 y=cos(x) & y=sech(x) 0 56 y=tan(x) & y=sinh(x) 0 57 y=csc(x) & y=coth(x) 0 58 y=sec(x) & y=cosh(x) 0 59 y=cot(x) & y=csch(x) 0 60 X=COS(t) & Y=SIN(t) 0 61 X=TAN(t) & Y=SEC(t) 0 62 X=COT(t) & Y=CSC(t) 0 63 X=SEC(t) & Y=TAN(t) 0 64 X=CSC(t) & Y=COT(t) 0 65 X=SINH(t) & Y=COSH(t) 0 66 X=TANH(t) & Y=SECH(t) 0 67 X=COTH(t) & Y=CSCH(t) 0 68 X=SECH(t) & Y=TANH(t) 0 69 X=CSCH(t) & Y=COTH(t) 0 70 X=SINH(t) & Y=-COSH(t) 0 71 X=TANH(t) & Y=-SECH(t) 0 72 X=-COTH(t) & Y=CSCH(t) 0 73 X=-SECH(t) & Y=TANH(t) 0 74 X= CSCH(t) & Y=-COTH(t) 0 75 y=sin(x) & y=sinh(x) 0 76 y=cos(x) & y=cosh(x) 0 77 y=tan(x) & y=tanh(x) 0 78 y=csc(x) & y=csch(x) 0 79 y=sec(x) & y=sech(x) 0 80 y=cot(x) & y=coth(x) Go to Begin 51 *** ZM51 : PARAMETRIC 0 01 X=TRIG FUNCTION AND Y=TRIG FUNCTION 0 02 X=F(X) AND Y=G(X) 0 03 X=SIN(n*t) AND Y=SIN(t) 0 04 X=SIN(n*t) AND Y=COS(t) 0 05 ANGLE AT INTERSECTION OF X=t^3-3*t AND Y=t^2+1 0 06 GIVEN X=t^2 AND Y=t^3-3*t : CURVE CONCAVE DOWNWARD 0 07 X=A*SIN(t)^M AND Y=B*COS(t)^N 0 08 X=A*SINH(t)^M AND Y=B*COSH(t)^N 0 09 0 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 0 18 Go to Begin 52 *** POLAR : FLOEAL FUNCTION 0 01 R=SIN(p*A/q)^M 0 02 R=1+SIN(p*a/q)^M 0 03 R=1+2*SIN(p*A/q)^M 0 04 R=1+3*SIN(p*A?q)^M 0 05 R=2+1*SIN(p*A/q)^M 0 06 R=a+b*SIN(p*A/q)^M 0 07 R=COS(p*A/q)^M 0 08 R=1+COS(p*a/q)^M 0 09 R=1+2*COS(p*A/q)^M 0 10 R=1+3*COS(p*A?q)^M 0 11 R=2+1*COS(p*A/q)^M 0 12 R=a+b*COS(p*A/q)^M Go to Begin 53 *** New Figure2 0 01 BOOK COVER OF PICTORIAL MATHEMATICS 0 02 CHAPTER 2 R=SIN(p*A/q)^M 0 03 CHAPTER 3 R=TAN(p*A/q)^M 0 04 CHAPTER 4 R=SEC(p*A/q)^M 0 05 CHAPTER 5 R = 1 + 1*SIN(p*A/q)^M 0 06 CHAPTER 6 R = 2 + 4*SIN(p*A/q)^M 0 07 CHAPTER 7 R = 4 + 2*SIN(p*A/q)^M 0 08 CHAPTER 8 R = 1 + 1*SEC(p*A/q)^M 0 09 CHAPTER 9 R = 2 + 4*SEC(p*A/q)^M 0 10 CHAPTER 10 R = 4 + 2*SEC(p*A/q)^M 0 11 CHAPTER 11 R = 1 + 1*TAN(p*A/q) 0 12 CHAPTER 12 R = 2 + 4*TAN(p*A/q) 0 13 CHAPTER 13 R = 4 + 2*TAN(p*A/q) 0 14 CHAPTER 14 HYPERBOLIC FUNCTIONS 0 15 CHAPTER 15 : 6x6 DIAGRAMS OF PARAMETRIC EQUATIONS 0 16 HYPERBOLIC : 6x6 DIAGRAMS OF PARAMETRIC EQUATIONS 0 17 HYPERBOLIC : 4x4 0 18 COMPARSON : CIRCULAR AND HYPERBOLIC 0 19 SKETCH ONE GRAPH OF R=SINH(n*t)^M 0 20 PARAMETRIC : 4x4 DIAGRAMS 0 21 PARAMETRIC : ONE PLOT OF X=F(t) AND Y=G(t) 0 22 GRAPHS OF R=a+b*F(p*A/q)^M : 6p x 6F 0 23 GRAPHS OF R=a+b*F(p*A/q)^M : 6p x 6M AND ONE F 0 24 COMPARSON OF Y=SIN(p*X/q) & R=SIN(p*A/q) 0 25 COMPARSON OF Y=SIN(p*X/q) & Y=SINH(p*X/q) 0 26 COMPARSON OF R=SIN(p*A/q) & R=SINH(p*A/q) 0 27 COMPARSON OF Y=SINH(p*X/q) & R=SINH(p*A/q) Go to Begin 54 *** ZM54 - Dopen3 0 01 CHAPTER 1 BOOK COVER AND FLYER 0 02 CHAPTER 2 R=SIN(p*A/q)^M 0 03 CHAPTER 3 R=TAN(p*A/q)^M 0 04 CHAPTER 4 R=SEC(p*A/q)^M 0 05 CHAPTER 5 R = 1 + 1*SIN(p*A/q)^M 0 06 CHAPTER 6 R = 2 + 4*SIN(p*A/q)^M 0 07 CHAPTER 7 R = 4 + 2*SIN(p*A/q)^M 0 08 CHAPTER 8 R = 1 + 1*SEC(p*A/q)^M 0 09 CHAPTER 9 R = 2 + 4*SEC(p*A/q)^M 0 10 CHAPTER 10 R = 4 + 2*SEC(p*A/q)^M 0 11 CHAPTER 11 R = 1 + 1*TAN(p*A/q) 0 12 CHAPTER 12 R = 2 + 4*TAN(p*A/q) 0 13 CHAPTER 13 R = 4 + 2*TAN(p*A/q) 0 14 CHAPTER 14 HYPERBOLIC FUNCTIONS 0 15 CHAPTER 15 PARAMETRIC EQUATIONS 0 16 TITLE : R=SIN(N*A) AND CANADA FLAG 0 17 SCREEN SAVER : R=SIN(N*A) 0 18 MAGIC NUMBER PATTERN (1 to 33) 0 19 GRAF24 : CONGRUENT OR TWINS PATTERNS (a=2 b=4) 0 20 PATTERN FLYER 0 21 GRAF24 : BOOK COVER OF MATHGRAF 0 22 GRAF3D : PATTERNS OF Z = F(X;Y) 0 23 GRAF40 : R=a+b*SIN(p*A/q) (8x5 PATTERNS) 0 24 GRAF18 : TWINS PATTERNS (9 SIN AND 9 COS) 0 25 GRAF01 : DISPLAY SINGLE PATTERN 0 26 GRAF24 : QUADRUPLET PATTERNS 0 27 GRAF09 : DOMAIN (A=2*pi .... A=2*q*pi) 0 28 GRAF40 : DIFFERENT RANGE WINDOW 0 29 GRAF40 : NUMBER OF PETALS (Graphic petal rule) Go to Begin 55 *** ZM55 - NEW FIGURE3 0 01 POLAR : DEMO OF GRAPHS OF CHAPTER 2 TO CHAPTER 13 0 02 TWIN PATTERNS : R=0+1*SIN(p*A/q)^M AND R=0+1*COS(p*A/q)^M 0 03 TWIN PATTERNS : R=1+1*SIN(p*A/q)^M AND R=1+1*COS(p*A/q)^M 0 04 TWIN PATTERNS : R=2+4*SIN(p*A/q)^M AND R=2+4*COS(p*A/q)^M 0 05 TWIN PATTERNS : R=4+2*SIN(p*A/q)^M AND R=4+2*COS(p*A/q)^M 0 06 TWIN PATTERNS : R=0+1*SEC(p*A/q)^M AND R=0+1*CSC(p*A/q)^M 0 07 TWIN PATTERNS : R=1+1*SEC(p*A/q)^M AND R=1+1*CSC(p*A/q)^M 0 08 TWIN PATTERNS : R=2+4*SEC(p*A/q)^M AND R=2+4*CSC(p*A/q)^M 0 09 TWIN PATTERNS : R=4+2*SEC(p*A/q)^M AND R=4+2*CSC(p*A/q)^M 0 10 TWIN PATTERNS : R=0+1*TAN(p*A/q)^M AND R=0+1*COT(p*A/q)^M 0 11 TWIN PATTERNS : R=1+1*TAN(p*A/q)^M AND R=1+1*COT(p*A/q)^M 0 12 TWIN PATTERNS : R=2+4*TAN(p*A/q)^M AND R=2+4*COT(p*A/q)^M 0 13 TWIN PATTERNS : R=4+2*TAN(p*A/q)^M AND R=4+2*COT(p*A/q)^M 0 14 QUADRUPLET PATTERNS : SINE AND COSINE (a=1 b=1) 0 15 QUADRUPLET PATTERNS : SINE AND COSINE (a=2 b=4) 0 16 SKETCH ONE GRAPH OF R=a+b*F(p*A/q)^M 0 17 SKETCH TWO GRAPHS OF R=a+b*F(p*A/q)^M 0 18 SKETCH 3x2 GRAPH OF R=a+b*F(p*A/q)^M 0 19 SKETCH 3x3 GRAPHS OF R=a+b*F(p*A/q)^M 0 20 SKETCH 4x4 GRAPH OF R=a+b*F(p*A/q)^M 0 21 SKETCH 6x4 GRAPHS OF R=a+b*F(p*A/q)^M 0 22 SKETCH ONE GRAPH OF R=a+b*F(p*A/q)^M (FIND PETALS & DOMAIN) 0 23 SKETCH TWO GRAPHS OF R=a+b*F(p*A/q)^M (FIND PETALS & DOMAIN) 0 24 SKETCH 9x2 GRAPHS OF R=a+b*F(p*A/q)^M 0 25 SKETCH 20x2 GRAPH OF R=a+b*F(p*A/q)^M 0 26 SKETCH POLAR : DEMO OF GRAPHS OF CHAPTER 2 TO CHAPTER 13 0 27 QUADRUPLET PATTERNS : SINE AND COSINE (a=4 b=2) 0 28 QUADRUPLET PATTERNS : SECANT AND COSECANT (a=1 b=1) 0 29 QUADRUPLET PATTERNS : SECANT AND COSECANT (a=2 b=4) 0 30 QUADRUPLET PATTERNS : SECANT AND COSECANT (a=4 b=2) 0 31 QUADRUPLET PATTERNS : TANGENT AND COTANGENT (a=1 b=1) 0 32 QUADRUPLET PATTERNS : TANGENT AND COTANGENT (a=2 b=4) 0 33 QUADRUPLET PATTERNS : TANGENT AND COTANGENT (a=4 b=2) Go to Begin 69 00 *** ABACU123 0 01 CLICK HERE (PW=DATE NUMBER) 70 00 *** GRAPH123 0 01 CLICK HERE (PW=DATE NUMBER) 71 00 *** MTOOL123 0 01 CLICK HERE (PW=DATE NUMBER) 72 00 *** NUMBR123 0 01 CLICK HERE (PW=DATE NUMBER) 73 00 *** RULES123 0 01 CLICK HERE (PW=DATE NUMBER) 96 *** ZM96 - FLAG1.BAS 0 01 DISPLAY ONE BY ONE NUMBER FLAG 0 02 FIND 1 DIGITL NUMBER FROM 1 GIVEN FLAG : UNIT 0 03 FIND 2 DIGITL NUMBERS FROM 2 GIVEN FLAGS: UNIT AND TEN 0 04 FIND 3 DIGITL NUMBERS FROM 3 GIVEN FLAGS : UNIT TEN AND HUNDRED 0 05 DISPALY ONE BY ONE CHARACTER FLAG 0 06 FIND 1 CHARACTER FROM 1 GIVEN FLAG 0 07 FIND 2 CHARACTERS FROM 2 GIVEN FLAGS 0 08 FIND 3 CHARACTERS FROM 3 GIVEN FLAGS 99 00 End Index |
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