Mathematics Dictionary

Mathematics Dictionary by Dr. K. G. Shih

Note :1st number = Chapter and 2nd number = Program
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A ***
05 08 ABS(X-1)+ABS(X+1)+ABS(Y-1)+ABS(Y+1) < 4 (OPTION #22)
61 05 ABUCUS : 10 COUNTING EXERCISES
62 05 ABUCUS : 10 ADDITION EXERCISES
01 14 ABUNDANT NUMBER
35 04 ADJOINT MATRIX
21 08 ALGEBRA & TRIGONOMETRY : COMPARISON EXAMPLE
21 09 ALGEBRA & TRIGONOMETRY : COMPARISON EXAMPLE
21 21 ALGEBRA TO TRIGONOMETRY
01 24 AMICABLE NUMBERS : PAIR #2 1184 1210
01 24 AMICABLE NUMBERS : PAIR #4 5620 5564
01 24 AMICABLE NUMBERS : PAIR #6 10749 10856
01 24 AMICABLE NUMBERS : PAIR #7 12285 14595
01 24 AMICALBE NUMBERS : PAIR #8 17296 18416 (TAKE 1 MINUTE)
01 09 AMICABLE NUMBERS : DEFINTION
01 09 AMICABLE NUMBERS : ONE IS 220 FIND OTHER ONE
01 24 AMICABLE NUMBERS : FIND BY COMPUTER
28 21 ANGLES
24 04 ANGLE : BISECT AN ANGLE
23 12 ANGLE : BISECT AN ANGLE
23 02 ANGLE : VARIOUS NAMES
29 08 ANGLE BETWEEN TWO LINES
24 11 ANGLE BETWEEN TWO TANGENTS
38 10 ANGLE BETWEEN TWO LINES
49 12 ANGLE BETWEEN Y=X^2 & ITS INVERSE
51 05 ANGLE OF INTERSECTION OF X=t^3-3*t & Y=t^2+1
21 20 arcTAN(X) : DERIVATIVE = 1/(1+X^2)
21 22 arcTAN(X) : INTEGRAL OF 1/(1+X^2)
12 13 arcTAN(X) : Relation with F(x) = 1/(1+x^2)
14 15 arcTAN(X) SERIES
20 13 AREA OF TRIANGLE =SQR((s*(s-a)*(s-b)*(s-c)) : HERON FORMULA
38 13 AREA FORMULAE OF TRIANGLE
11 03 AREA - CIRCLE & TRIANGLE
11 04 AREA - CIRCLE & SQUARE
11 05 AREA - CIRCLE & POLYGONS
02 07 AREA - ENCLOSED BY 3 CIRCLES
02 08 AREA - ENCLOSED BY 5 OR 6 CIRCLES
20 13 AREA - TRIANGLE = SQR(s(s-a)(s-b)(s-c)) : PROOF
19 23 AREA - TRIANGLE & 3 SIDES (SSS) ARE GIVEN
19 24 AREA - TRIANGLE & SAS ARE GIVEN
19 25 AREA - TRIANGLE & 3 POINTS ARE GIVEN
11 12 AREA - UNDER CURVES (DEFINITE INTEGRALS)
14 01 ARITHMETIC SERIES
01 25 ASCII CODE : CODE # TO SYMBOL
01 26 ASCII CODE : KEYBOARD SYMBOL KEYS TO CODE #
01 27 ASCII CODE : LIST EXTENDED ASCII CODES
05 08 ASYMPTOTE - HORIZONTAL LINE Y=c (OPTION #20)
05 08 ASYMPTOTE - VERTICAL LINE X=c (OPTION #20)
05 08 ASYMPTOTE - Y=X LINE (OPTION #11)
05 08 ASYMPTOTE - Y=X LINE (OPTION #21)
06 20 A*X^2 +B*X*Y +C*Y^2 +D*X +E*Y +F =0 : CONIC

B ***
09 12 BINARY & OCTAL
09 15 BINARY & OCTAL : FIVE CAKES & TWO FISHES
09 16 BINARY : DEFINITION : RESERVED POSITIONS
09 17 BINARY : POSITION VALUE OF BINARY DIGIT
01 01 BINARY NUMBER CONVERSION
01 12 BINOMIAL COEFFICIENTS & PASCAL TRIANGLE
14 22 BIONMIAL COEFFICIENTS C(n;r) & SERIES
18 26 BINOMIAL DISTRIBUTION : APPROXIMATE MEAN & SD
18 24 BINOMIAL DISTRIBUTION : C(N;R)
18 22 BINOMIAL DISTRIBUTION : n < 30
18 23 BINOMIAL DISTRIBUTION : PASCAL TRIANGLE
18 25 BINOMIAL DISTRIBUTION : P=C(N;R)*Q^(N-R)*P^(R)
23 12 BISECT AN ANGLE
28 22 BISECT AN ANGLE
09 11 BIT & BYTE : EXERCISES
09 06 BIT & BYTE : ONE BIT
09 09 BIT & BYTE : ONE BYTE
09 08 BIT & BYTE : THREE BITS
09 07 BIT & BYTE : TWO BITS
09 10 BIT & BYTE : TWO BYTE INTEGER
30 12 B^2 - 4*A*C OF CONIC
03 06 B^2 - 4*A*C OF QUADRATIC FUNCTION

C ***
19 30 CALCULATOR : PROBABILITY DISTRIBUTION
11 16 CALENDAR (NOTE : CHINSES CALENDAR IN MAIN MENU)
11 20 CHORD - HOW MANY CHORD IF 11 POINTS ON CIRCLE ?
24 15 CHORD-CHORD RELATION
18 27 CHI-SQUARE DISTRIBUTION : P(XC > A)
24 15 CIRCLE : CHORD-CHORD RELATION
34 09 CIRCLE : R & CENTER (h;k) BY COMPLETING SQUARE
12 09 CIRCLE - INTERSECTIONS OF CIRCLES
24 06 CIRCLE - INSCRIBING A TRIANGLE
02 06 CIRCLE - INSCRIBING A TRIANGLE
02 01 CIRCLE - LOCUS WITH PC=CONSTANT
02 02 CIRCLE - LOCUS WITH ANGLE ACB=90 DEGREES
02 19 CIRCLE - NINE POINTS CIRCLE
05 10 CIRCLE - PASSING 3 GIVEN POINTS
24 05 CIRCLE - PASSING 3 GIVEN POINTS
02 18 CIRCLE - SEC&
05 02 CIRCLE - TANGENT TO CIRCLE
05 03 CIRCLE - TANGENT TO A CIRCLE
05 11 CIRCLE - TANGENT 3 SIDES OF TRIANGLE
68 11 CLOCK - ANGLE BETWEEN 2 H&S
68 12 CLOCK - THE TIME WHEN TWO H&S MAKE 180 DEGREES
68 14 CLOCK - THE TIME WHEN TWO H&S COINDCIDE
19 08 COMBINATION C(n;r)
03 05 COMPLETING SQUARE OF QUADRATIC FUNCTION
34 09 COMPLETING SQUARE : R & CENTER (h;k) OF CIRCLE
34 10 COMPLETING SQUARE : a;b & CENTER (h;k) OF ELLIPSE
34 11 COMPLETING SQUARE : a;b & CENTER (h;k) OF HYPERBOLA
08 01 COMPLEX NUMBER : (a+bi)+(c+di)
08 02 COMPLEX NUMBER : (a+bi)-(c-di)
26 05 COMPLEX NUMBER : (a+bi) + (c+di)
26 06 COMPLEX NUMBER : (a+bi) - (c+di)
26 07 COMPLEX NUMBER : (a+bi) * (c+di)
26 08 COMPLEX NUMBER : (a+bi) / (c+di)
08 03 COMPLEX NUMBER : (COS(A)+ i*SIN(A))*(COS(B)+ i*SIN(B))= ?
08 04 COMPLEX NUMBER : (COS(A)+ i*SIN(A))/(COS(B)+ i*SIN(B))= ?
08 05 COMPLEX NUMBER : (COS(A)+ i*SIN(A))^n
08 06 COMPLEX NUMBER : 1/(a+bi) = R*(COS(A) + i*SIN(A))
08 07 COMPLEX NUMBER : i^n & n = POSITIVE INTEGER
08 08 COMPLEX NUMBER : i^(1/n); n = POSITIVE INTEGER
99 04 COMPLEX NUMBER : QUIZ- P=(COS(A) + i*SIN(A))^n
99 05 COMPLEX NUMBER : QUIZ- (COS(A)+i*SIN(A))*(COS(B)+i*SIN(B))
99 06 COMPLEX NUMBER : QUIZ- (COS(A)+i*SIN(A))/(COS(B)+i*SIN(B))
08 11 COMPLEX NUMBER : THEOREMS
16 03 CONCAVE LENZ
16 01 CONCAVE MIRROR
05 06 CONIC : CONSTRUCT PARABOLA
05 07 CONIC : CONSTRUCT ELLIPSE
34 12 CONIC : ELLIMINATE XY TERMS
99 15 CONIC : F(X;Y)=0 & B^2-4*A*C
99 14 CONIC : POLAR FORM
36 19 CONIC : R=D*e/(1-e*COS(A))
15 31 CONIC : TRNASLATION
21 13 CONIC SECTIONS IN POLAR FORM WITH D & e
02 20 CONCYCLIC - FOUR POINTS ON CIRCLE
02 21 CONCYCLIC - PARABOLA WITH TWO TANGENTS & TWO NORMALS
16 02 CONVEX MIRROR
16 04 CONVEX LENZ
38 01 COORDINATE GEOMETRY : RHOMBUS
50 26 COSINE CURVE : Y=COS(X)
22 24 COSINE LAW & SINE LAW
19 15 COSINE LAW : FIND ANGLES OR SIDES (SAS or SSS)
38 16 COSINE LAW : PROOF
20 02 COS(A+B)=COS(A)*COS(B)-SINS(A)*SIN(B) : PROOF
20 06 COS(A-B)=COS(A)*COS(B)+SINS(A)*SIN(B) : PROOF
99 10 CUBES IN CUBES : QUIZ
12 24 CUBES - HOW MANY COBES ?
26 16 CURVE OF Y=X^N+1
26 17 CURVE OF Y=X^N-1
26 18 CURVE OF Y=(X-1)^N

D ***
06 20 DECRIMINANT : A*X^2 +B*X*Y +C*Y^2 +D*X +E*Y +F =0
03 06 DECRIMINANT : QUADRATIC FUNCTION
01 14 DEFICIENT NUMBER
12 13 DEFINITE INTEGRAL of 1/(1+x^2)
11 12 DEFINITE INTEGRAL OF sin(X)/X FROM 0 TO INFINITE
26 09 DEMOIVRE THEOREM : (a+bi)^n
26 10 DEMOIVRE THEOREM : (a+bi)^(1/N)
26 11 DEMOIVRE THEOREM : X; CHR$(252); +1=0
26 12 DEMOIVRE THEOREM : X; CHR$(252); -1=0
25 13 DEMOIVRE THEOREM : X; CHR$(252); +1=0
26 14 DEMOIVRE THEOREM : X; CHR$(252); +i=0
35 07 DETERMINANT OF MATRIX
35 08 DETERMINANT OF MATRIX
15 03 DILATATION
03 04 DIRECTRIX OF PARABOLA (OPTION 2)
34 06 DIRECTRIX : e & DIRECTRIX OF ELLIPSE
34 07 DIRECTRIX : FOCUS & DIRECTRIX OF PARABOLA
34 08 DIRECTRIX : e & DIRECTRIX OF HYPERBOLA
34 12 DISCRIMINANT OF CONIC SECTION
03 06 DISCRIMINANT OF QUADRATIC FUNCTION
19 18 DISTANCE : BETWEEN TWO PARRALEL LINES
38 08 DISTANCE : BETWEEN TWO PARALLEL LINES
19 18 DISTANCE : BETWEEN TWO POINTS
13 04 DISTANCE : BETWEEN IN-CENTER & EX-CENTER
13 05 DISTANCE : BETWEEN INCENTER & ORTHOCENTER
13 06 DISTANCE : BETWEEN EXCENTER & ORTHOCENTER
38 06 DISTANCE : POINT TO A LINE A*X+B*Y+C=0 (SEE TEXT INDEX 15 D)

E *** 16 15 EATH TUNNEL (S.H.M.)
34 06 ECCENTRICITY : e & DIRECTRIX OF ELLIPSE
34 08 ECCENTRICITY : e & DIRECTRIX OF HYPERBOLA
34 10 ELLIPSE : a; b & CENTER (h;k) BY COMPLETING SQUARE
05 07 ELLIPSE : CONSTRUCT ELLIPSE
34 06 ELLIPSE : e & DIRECTRIX
34 12 ELLIPSE : ELLIMINATE XY TERM
06 02 ELLIPSE : LAW OF REFLECTION
06 19 ELLIPSE : LOCUS OF ELLIPSE
06 12 ELLIPSE : NORMAL LINES
15 23 ELLIPSE : ROTATION
06 16 ELLIPSE : SKETCH USING RULER
06 15 ELLIPSE : SKETCH
12 22 ELLIPSE : SKETCH
06 08 ELLIPSE : TANGENT LINES
34 06 ELLIPSE : (X/5)^2+(Y/3)^2=1 & R=D/(1-eCOS(A)) IDENTICAL. FIND D & e
05 05 EQUATION : SOLVE GRAPHICALLY OF X^n - 1 = 0 OR X^n + 1 = 0
08 09 EQUATION : SOLVE GRAPHICALLY OF X^n - 1 = 0
08 10 EQUATION : SOLVE GRAPHICALLY OF X^n + 1 = 0
05 05 EQUATION : SOLVE GRAPHICALLY OF X^4 + X^3 + X^2 + X + 1 = 0
21 22 EQUATION : SOLVE GRAPHICALLY X^N+1=0
21 23 EQUATION : SOLVE GRAPHICALLY X^N-1=0
17 02 Equation : 2nd degree
17 03 Equation : 3rd degree
17 04 Equation : 4th degree
17 05 Equation : 5th degree
02 05 ES-CENTER & ES-CIRCLE
20 21 ES-CENTER & EXCENTRAL TRIANGLE
26 20 EULER FORMULA & e i PI
14 15 EXP(X) SERIES
02 03 EX-CENTER & EX-CIRCLE
13 03 EX-CENTRAL TRIANGLE
20 18 EX-CIRCLE : RADIUS OF EX-CIRCLE
28 07 EX-CIRCLE : CENTER & RADIUS

F ***
14 25 FIBONACCI'S SEQUENCE & KEPLER'S DEFINITION
04 07 FIBONACCI SEQUENCE & PASCAL TRIANGLE
09 15 FIVE CAKES & TWO FISHES : BINARY & OCTAL
30 09 FIVE POINTS : 5 COMPLEX ROOTS
30 05 FIVE POINTS : AREA OF PENTAGON
30 02 FIVE POINTS : CHANGE PENTAGON TO EQUAL AREA TRIANGLE
30 01 FIVE POINTS : PENTAGON
30 03 FIVE POINTS : QUARTIC FUNCTION
30 04 FIVE POINTS : STARS
30 07 FIVE POINTS : SOLVE SPECIAL QUARTIC EQUATION
30 06 FIVE POINTS : X^n+1=0 & X^n-1=0; n=5
30 08 FIVE POINTS : Y=F(X) & Y=1/F(X) WITH F(X) HAVING 5 ZEROS
21 11 FLORAL PATTERNS
11 18 FLYER - INTRODUCTION TO THE SYSTEM
12 12 FLYER OF SYSTEMS
16 12 FOCAL POINT OF CONCAVE LENZ
16 10 FOCAL POINT OF CONCAVE MIRROR
16 13 FOCAL POINT OF CONVEX LENZ
16 11 FOCAL POINT OF CONVEX MIRROR
03 04 FOCAL POINT OF PARABOLA (OPTION 2)
34 07 FOCUS & DIRECTRIX OF PARABOLA
29 15 FOUR POINTS : BISECTORS OF A PARALLELOGRAM
29 12 FOUR POINTS : CHANGE SQUARE TO EQUAL AREA TRIANGLE
29 13 FOUR POINTS : CHANGE RECTANGLE TO EQUAL AREA TRIANGLE
29 14 FOUR POINTS : CHANGE QUADRILATERAL TO EQUAL AREA TRIANGLE
29 01 FOUR POINTS : CURVE OF CUBIC FUNCTION
29 02 FOUR POINTS : QUADRILATERALS
29 03 FOUR POINTS : CIRCUMSCRIBED CIRCLE
29 04 FOUR POINTS : LOCUS OF D IF A B C D CONCYCLIC
29 11 FOUR POINTS : SPECIAL CONCYCLIC QUESTION
18 28 F-DISTRIBUTION : P(XF > A)

G ***
18 15 GAMMA DISTRIBUTION : DEMO
18 16 GAMMA DISTRIBUTION : DEMO OF MEAN=DF & SD=SQR(2*DF) ?
18 17 GAMMA DISTRIBUTION : DISTRIBUTION CURVES : MEAN & VARIANCE
18 21 GAMMA DISTRIBUTION : FIND MODE & AREA=0.5
18 20 GAMMA DISTRIBUTION : LIST XC & F(XC)
18 18 GAMMA DISTRIBUTION : P(XG | DF) IF DF & XG ARE GIVEN
18 19 GAMMA DISTRIBUTION : XG IF DF & P(XG > a) ARE GIVEN
18 29 GAMMA FUNCTION
14 03 GEOMETRICAL SERIES
02 05 GEOMETRY : ES-CENTER & ES-CIRCLE
02 03 GEOMETRY : EX-CENTER & EX-CIRCLE
02 19 GEOMETRY : NINE POINTS CIRCLE
13 02 GEOMETRY : PEDAL TRIANGLE
13 09 GEOMETRY : PYTHAGOREAN LAW
01 21 GOLDBACH'S CONJECTIVES (SUM OF 2 PRIME NUMBER = EVEN)
24 12 GOLDEN RECTANGLE
05 08 GRAPHS OF FUNCTIONS Y=F(X)
05 09 GRAPHS OF Z=F(X;Y)
05 14 GRAPH OF R=a+b*SIN(N*A)^M
05 15 GRAPH OF R=a+b*TAN(N*A)^M
05 16 GRAPH OF R=a+b*SEC(N*A)^M
20 19 GRAVITY CENTER & MEADIANS

H ***
20 15 HALF ANGLE : COS(A/2) = SQR(s*(s-a)/(b*c))
20 14 HALF ANGLE : SIN(A/2) = SQR((s-b)*(s-c)/(2*b*c))
20 16 HALF ANGLE : TAN(A/2) = SQR((s-b)*(s-c)/s*(s-a))
20 13 HERON FORMULA : AREA OF TRIANGLE = SQR((s*(s-a)*(s-b)*(s-c))
38 17 HERON FORMULA : PROOF
01 03 HEXA NUMBER CONVERSION
01 03 HEXA MULTIPLICATION TABLE
15 01 HORIZONTAL SHEAR TRANSFORMATION
15 04 HORIZONTAL STRETCH
34 11 HYPERBOLA : a; b & CENTER (h;k) BY COMPLETING SQUARE
34 08 HYPERBOLA : e & DIRECTRIX
34 12 HYPERBOLA : ELLIMINATE XY TERM
16 09 HYPERBOLA : LAW OR REFLECTION
06 13 HYPERBOLA : NORMAL LINES
15 24 HYPERBOLA : ROTATION
34 08 HYPERBOLA : (X/5)^2-(Y/3)^2=1 & R=D/(1-e*COS(A)) IDENTICAL. FIND D & e
19 17 HYPERBOLIC FUNCTIONS (E.G. Y=SINH(X))
50 39 HYPERBOLIC FUNCTIONS : Y=SINH(X)
50 40 HYPERBOLIC FUNCTIONS : Y=SINH(X)
50 39 HYPERBOLIC FUNCTIONS : Y=TANH(X)
04 09 HYPERGEOMETRIC : [C(k;x)*C(N-k;n-x)]/C(N;n)

I ***
21 17 IMPLICIT F(X;Y) = 0 TO POLAR FORM
12 03 INCENTER OF A TRIANGLE : LOCUS
38 13 INCENTER : AREA OF TRIANGLE = r*s
38 14 INCENTER : r=(s-a)*TAN(A/2)
49 13 INEQUALITY : A*X^2+B*X+C > 0
49 14 INEQUALITY : A*X^3+B*X^2+C*X+D > 0
38 12 INEQUALITY : LINE & PARABOLA Y=A*X^2+B*X+C & Y=E*X+F
38 11 INEQUALITY : THREE LINES : Y>A*X+B Y 49 15 INEQUALITY : (X^2+2*X-3)/(X^3+5*X^2-17*X-21) >= 0
66 02 INTERNATIONAL NUMBER FLAG CODES : 10 TEST QUESTIONS
96 07 INTERNATIONAL CHARACTER FLAG CODES : 10 TEST QUESTIONS
07 07 INTERSECTIONS OF CIRCLE & CIRCLE
07 01 INTERSECTIONS OF CIRCLE & Y = F(X)
07 02 INTERSECTIONS OF CIRCLE & Y = 1/G(X)
07 03 INTERSECTIONS OF CIRCLE & Y = F(X)/G(X)
38 19 INTERSECTIONS OF LINE & LINE
07 04 INTERSECTIONS OF Y = F(X) & Y = 1/G(X)
07 05 INTERSECTIONS OF Y = T(X)/F(X) & Y = G(X)/H(X)
07 06 INTERSECTIONS OF Y = 1/F(X) & F(X)= f(X)/g(X)
07 08 INTERSECTIONS OF Y = F(X) & Y = G(X)
07 09 INTERSECTIONS OF Y = 1/F(X) & Y = 1/G(X)
07 10 INTERSECTIONS OF Y = f(X)/g(X) & Y = s(X)/t(X)
07 11 INTERSECTIONS OF QUADRATIC FUNCTION & ITS INVERSE
38 12 INTERSECTIONS OF QUADRATIC FUNCTION & LINE
07 11 INVERSE FUNCTION OF QUADRATIC FUNCTION
35 05 INVERSE MATRIX USING ADJOINT MATRIX
35 06 INVERSE MATRIX BY PIVOT METHOD
50 33 INVERSE TRIGONOMETIRCAL FUNCTION : Y=ARCSIN(X)
50 34 INVERSE TRIGONOMETIRCAL FUNCTION : Y=ARCCOS(X)
50 35 INVERSE TRIGONOMETIRCAL FUNCTION : Y=ARCTAN(X)
50 36 INVERSE TRIGONOMETIRCAL FUNCTION : Y=ARCCSC(X)
50 37 INVERSE TRIGONOMETIRCAL FUNCTION : Y=ARCSEC(X)
50 38 INVERSE TRIGONOMETIRCAL FUNCTION : Y=ARCCOT(X)
34 04 INVERSE : LINEAR FUNCTION
34 05 INVERSE : QUADRATIC FUNCTION
02 04 IN-CENTER & IN-CIRCLE

J ***
K ***
14 25 KEPLER'S DEFINITION & FIBONACCI'S SEQUENCE
01 26 KEYBOARD SYMBOL KEYS TO ASCII CODE #

L ***
16 03 LENZ - IMAGE OF CONCAVE LENZ
99 01 LIMIT : QUIZ
38 09 LINE - EQUATIONS
11 01 LINE - SLOPE & LINE
11 02 LINE - TWO LINES
38 10 LINE - TWO LINES (ANGLE)
11 06 LINE - FOUR LINES
48 06 LINEAR FUNCTION AND ITS INVERSE
12 17 LOCUS - CIRCLE
02 15 LOCUS - CIRCLE & CHORD A
02 16 LOCUS - CIRCLE & CHORD B
02 17 LCOUS - CIRCLE & CHORD C
02 14 LOCUS - CIRCLE RELATED WITH PARALLELOGRAM
06 19 LOCUS - ELLIPSE
02 13 LOCUS - ESCENTER OF TRIANGLE
02 12 LOCUS - INCENTER OF TRIANGLE
06 18 LOCUS - PARABOLA
49 47 LOGARITHMIC CURVE : Y=ln(X)
45 15 l'HOSPITAL RULE

M ***
11 07 MAGIC NUMBERS 1 TO 33
11 08 MAGIC NUMBERS 1 TO 16
01 20 MAGIC NUMBERS IN CIRCLE PATTERNS
01 10 MAGIC NUMBERS IN SQUARE PATTERNS
67 11 MAGIC SQUARE : 10 ADDITION QUESTIONS
67 12 MAGIC SQUARE : 10 ADDITION QUESTIONS
11 11 MATRIX NUMBER PATTERN I
11 15 MATRIX NUMBER PATTERN II
15 08 MATRIX OF TRNSFORMATION
15 09 MATRIX OF TRNSFORMATION
15 10 MATRIX OF TRNSFORMATION
15 11 MATRIX OF TRNSFORMATION
35 01 MATRIX : PRODUCTION OF SQUARE MATRICES
35 02 MATRIX : PRODUCTION OF REACTANGULAR MATRICES
35 03 MATRIX : SQUARE MATRIX TO THE POWER OF M
35 04 MATRIX : FIND ADJOINT MATRIX
35 05 MATRIX : FIND INVERSE MATRIX USING ADJOINT MATRIX
35 06 MATRIX : FIND INVERSE MATRIX BY PIVOT METHOD
24 07 MEDIANS : DRAW TRIANGLE USING MEDIANS
29 10 MID POINTS OF QUADRILATERAL
13 07 MID POINTS THEORY OF TRIANGLE : COORDINATE GEOMETRY METHOD
13 07 MID POINTS THEORY OF TRIANGLE : GEOMETRICAL METHOD
24 02 MID POINTS THEORY OF TRIANGLE
13 08 MEDIANS OF TRIANGLES ARE CONGRUENT
01 17 MULTIPLE OF N WHOSE DIGITS AR SAME
01 17 MULTIPLE OF 49 WHOSE DIGITS ARE SAME

N ***
02 19 NINE POINTS CIRCLE
18 01 NORMAL DISTRIBUTION : CALCULATION
18 14 NORMAL DISTRIBUTION : COMPARE WITH STUDENT
18 02 NORMAL DISTRIBUTION : DISTRIBUTION & AREA CURVE
18 03 NORMAL DISTRIBUTION : DEMO OF P ( Z < a)
18 04 NORMAL DISTRIBUTION : DEMO OF MEAN & S.D.
18 05 NORMAL DISTRIBUTION : DEMO OF MEAN IN INTEGRAL
18 06 NORMAL DISTRIBUTION : DEMO OF P( 0 < Z < a) IN INTEGRAL
18 07 NORMAL DISTRIBUTION : GIVE PROBABILITY & FIND Z VALUE
06 11 NORMAL LINES OF CIRCLE
06 12 NORMAL LINES OF ELLIPSE
06 13 NORMAL LINES OF HYPERBOLA
06 14 NORMAL LINES OF PARABOLA
01 14 NUMBER : ABUDANT NUMBER
01 14 NUMBER : DEFICIENT NUMBER
01 06 NUMBER : PRIME & TWIN PRIME NUMBERS
11 17 NUMBER & FLORAL PATTERNS
01 18 NUMBERS IN MATRIX PATTERN (1)
01 19 NUMBERS IN MATRIX PATTERN (2)
14 17 NUMBER IN MATRIX PATTERN - UPWARD
14 18 NUMBER IN MATRIX PATTERN - DOWN & UP
14 19 NUMBER IN MATRIX PATTERN - UP & DOWN
14 20 NUMBER IN MATRIX PATTERN - DOWN

O ***
26 21 OCTAL NUMBER : COEFF POSITION & POWER
26 22 OCTAL NUMBER : COEFF POSITION & POWER
26 23 OCTAL NUMBER : CONVERSION EXAMPLE
41 08 OCTAL : DECIMAL 125 TO OCTAL (DEMO)
41 09 OCTAL : DECIMAL 0.0625 TO OCTAL (DEMO)
09 01 OCTAL : DEFINITION OF OCTAL SYSTEM
09 03 OCTAL : FRACTIONAL OCTAL TO DECIMAL NUMBER
09 05 OCTAL : FRACTIONAL DECIMAL TO OCTAL DEMONSTRATION
09 13 OCTAL : FIVE & FORTY IN OCTAL
09 15 OCTAL : FIVE CAKES & TWO FISHES
09 04 OCTAL : INTEGRAL DECIMAL TO OCTAL DEMONSTRATION
09 02 OCTAL : INTEGRAL OCTAL TO DECIMAL NUMBER
01 02 OCTAL : MULTIPLICATION TABLE
01 02 OCTAL : NUMBER CONVERSION
09 14 OCTAL : THREE & TWENTY FOUR IN OCTAL
20 20 ORTHOCENTER & PEDAL TRAINGLE

P ***
05 06 PARABOLA - CONSTRUCT PARABOLA
03 04 PARABOLA - DIRECTRIX (OPTION 2)
12 15 PARABOLA - DRAW TANGENT BY REFLECTION LAW
34 12 PARABOLA - ELLIMINATE XY TERM
03 04 PARABOLA - FOCAL POINT
99 11 PARABOLA - FOCUS & DIRECTRIX (QUIZ)
38 12 PARABOLA - INTERSECTION WITH LINE (INEQULITY)
03 02 PARABOLA - LOCUS
16 07 PARABOLA - LAW OF REFLECTION
15 25 PARABOLA - ROTATION
03 11 PARABOLA - THREE POINTS DEFINE PARABOLA
06 17 PARABOLA - SKETCH USING RULER
34 07 PARABOLA - Y=X^2-6*X+8 & R=D/(1-SIN(A)) are same FIND D & ORIGIN
02 14 PARALLELOGRAM - LOCUS OF CIRCLE
51 05 PARAMETRIC : ANGLE OF INTERSECTION OF CURVE OF X=t^3-3*t & Y=t^2+1
21 18 PARAMETRIC : CYCLOIDS
19 29 PARAMETRIC : X=F(t) & Y=G(t)
21 19 PARAMETRIC : X=SEC(t) & Y=TAN(t)
19 28 PARAMETRIC : X=TAN(t) & Y=SEC(t)
51 03 PARAMETRIC : X=SIN(n*t) & Y=COS(t)
04 01 PASCAL TRIANGLE - DEFINITION
01 11 PASCAL TRIANGLE - APPLICATION
04 02 PASCAL TRIANGLE - APPLICATION
04 03 PASCAL TRIANGLE - SEQUENCES
04 04 PASCAL TRIANGLE - S(n) & T(n) OF SEQUENCE #3
04 05 PASCAL TRIANGLE - S(n) & T(n) SUMMARY
04 06 PASCAL TRIANGLE - SPECIAL MATRIX
04 07 PASCAL TRIANGLE - FIBONACCI SEQUENCE
04 08 PASCAL TRIANGLE - FIND C(n;r)
04 09 PASCAL TRIANGLE - HYPERGEOMETRIC : [C(k;x)*C(N-k;n-x)]/C(N;n)
04 10 PASCAL TRIANGLE - FIND COEFF OF a^(n-r)*b^r IN (a+b)^n
04 11 PASCAL TRIANGLE - FIND COEFF OF TERM FOR n;r IN (a+b)^n
04 12 PASCAL TRIANGLE - BINOMIAL PROBABILITY
12 21 PATTERNS - COVER OF BOOK MATHGRAF
53 05 PATTERNS - R= 1+1*SIN(p*A/q)^M (SEE CHAPTER 53 OR 54)
12 16 PATTERNS - R= 4+2*SIN(N*A)^M
12 14 PATTERNS - SCREEN SAVER
13 02 PEDAL TRIANGLE
01 13 PERFECT NUMBERS - 4TH NUMBER IS 8128
01 13 PERFECT NUMBERS - 5TH NUMBER IS 33550336
01 13 PERFECT NUMBERS - 6TH NUMBER IS 8589869056
01 13 PERFECT NUMBERS - 7TH NUMBER IS 137438691328
01 16 PERFECT NUMBERS - 8TH NUMBER IS 2305843008139952128 (HOW ?)
12 01 PERFECT NUMBERS - FACTORS OF 3RD PERFECT NUMBER
01 13 PERFECT NUMBERS - FIND 3rd PERFECT NUMBER
01 15 PERFECT NUMBERS - S=1^3+3^3+5^3+... + (2n-1)^3. FIND n
01 22 PERFECT NUMBERS - SUM [2m-1)^3] FIND m FOR 3rd PERFECT NUMBER
01 16 PERFECT NUMBERS - 2^(n-1)*(2^n-1). n=31 FOR 8TH NUMBER.
01 16 PERFECT NUMBER 28 = 2^(n-1)*(2^n-1) FIND n
01 15 PERFECT NUMBER 28 = SUM [(2m-1)^3] FIND m
11 09 PERFECT NUMBERS & AMICABLE NUMBERS
19 07 PERMUTATION P(n;r)
42 01 PERMUTATION & COMBINATION
26 04 POINT ON COMPLEX NUMBER COORDINATES
26 27 POINT ON COMPLEX NUMBER SYSTEM a+b*i
26 26 POINT ON DIRECTION LINE (R;A)
26 24 POINT ON ONE NUMBER LINE
26 03 POINT ON POLAR COORDINATES
26 02 POINT ON RECANGULAR COORDINATES
26 01 POINT ON THERMOMETER
26 25 POINT ON TWO NUMBER LINES (X;Y)
23 06 POLYGON : VARIOUS NAMES
01 07 PRIME FACTORS
01 06 PRIME NUMBERS - FIND PRIME & TWIN PRIME NUMBERS
19 30 PROBABILITY DISTRIBUTION : CALCULATOR
12 08 PROJECTILE
16 06 PROJECTILE WITH DEPRESSION ANGLE
16 05 PROJECTILE WITH ELEVATION ANGLE
01 14 PROPERTIES OF NUMBERS
05 04 PYTHAGOREAN LAW
13 09 PYTHAGOREAN LAW
20 11 PYTHAGORIAN LAW
11 19 PYTHAGOREAN TRIPLES

Q ***
03 07 QUADRATIC FUNCTION - COEFFICIENT A & CURVE
03 08 QUADRATIC FUNCTION - COEFFICIENT B AMD CURVE
03 09 QUADRATIC FUNCTION - COEFFICIENT C & CURVE
03 05 QUADRATIC FUNCTION - COMPLETING SQUARE
49 17 QUADRATIC FUNCTION - CURVE PROPERTIES
49 20 QUADRATIC FUNCTION - DEFINITION ON CURVE
03 06 QUDARATIC FUNCTION - DISCRIMINANT
03 10 QUADRATIC FUNCTION - INTERSECTION WITH LINE
03 12 QUADRATIC FUNCTION - INTERSECTION WITH ITS INVERSE
49 20 QUADRATIC FUNCTION - DEFINITION OF TERMS OF QUADRATIC FUNCTIONS
49 22 QUADRATIC FUNCTION - POLAR TO Y=F(X) & VICE VERSA
49 21 QUADRATIC FUNCTION - SLOPE CURVE (CUBIC FUNCTIONS)
49 16 QUADRATIC FUNCTION - TRANSFORMATION FORM
03 13 QUADRATIC FUNCTION - WITH ABSOLUTE OPERATION
03 04 QUADRATIC FUNCTION - VERTEX
49 19 QUADRATIC FUNCTION - VERTEX (h:k) & POINT (X1;Y1) ARE GIVEN
49 19 QUADRATIC FUNCTION - VERTEX (1:1) & POINT (4;5) FIND FUNCTION
03 03 QUADRATIC FUNCTION - X-INTERCEPT & Y-INTERCEPT
49 20 QUADRATIC FUNCTION - X-INTERCEPT & Y-INTERCEPT
29 10 QUADRILATERAL : MID-POINTS
55 14 QUADRUPLET PATTERNS (MORE EXAMPLES : SEE CHAPTER 55)
17 08 QUAINT EQUATION : Give 5 real roots find coefficients
17 09 QUAINT FUNCTION : Find F(a+bi)
17 11 QUARTIC EQUATION : Give 4 real roots find coefficients
17 09 QUARTIC FUNCTION : Find F(a+bi)

R ***
20 17 RADIUS OF INCIRCLE OF TRIANGLE
20 18 RADIUS OF EXCIRCLE OF TRIANGLE
20 09 RADIUS OF EXCIRCLE OF TRIANGLE R=abc/(4*AREA) : PROOF
48 20 Rational function : Y=((x-1)^M)/(2*x)
48 13 Rational function : Y=((x-1)^M)/(a*x^2+b*x+c)
05 11 RECREATION MATH
15 13 REFLECTION ABOUT X-AXIS
15 14 REFLECTION ABOUT Y-AXIS
15 15 REFELCTION ABOUT LINE Y=X
15 16 REFLECTION ABOUT LINE Y=-X
06 01 REFLECTION OF PARABOLA : FOCAL POINT
06 02 REFLECTION OF ELLIPSE
15 17 REFLECTION OF ELLIPSE ABOUT LINE Y=X
15 20 REFLECTION OF ELLIPSE ABOUT LINE Y=-X
06 03 REFLECTION OF HYPERBOLA
15 19 REFLECTION OF Y=COS(X) ABOUT LINE Y=X
15 22 REFLECTION OF Y=COS(X) ABOUT LINE Y=-X
15 18 REFLECTION OF Y=SIN(X) ABOUT LINE Y=X
15 21 REFLECTION OF Y=SIN(X) ABOUT LINE Y=-X
01 08 REPEATING DECIMALS
17 06 Roots : F(X)=4th degree F(a+bi)= ?
17 07 Roots : Give a b c d e & 4 roots
17 08 Roots : Give 4 real roots find coefficients
17 09 Roots : F(X)=5th degree F(a+bi) = ?
17 10 Roots : Give a b c d e f & 5 roots
17 11 Roots : give 5 real roots find coefficients
03 16 Roots : Two real roots
06 04 ROTATION OF ELLIPSE
06 05 ROTATION OF HYPERBOLA
06 06 ROTATION OF PARABOLA
12 16 R = 4+2*SIN(N*A)^M : PATTERNS
36 19 R = D/(1-e*SIN(A))
52 07 R = COS(p*A/q)^M
52 01 R = SIN(p*A/q)^M
52 08 R = 1+1*COS(p*A/q)^M
52 02 R = 1+1*SIN(p*A/q)^M
52 06 R = a+b*SIN(p*A/q)^M
38 14 r = (s-a)*TAN(A/2) : r IS RADIUS OF INCENTER OF TRIANGLE

S ***
24 16 SECANT & SECANT RELATION : FIND SQR(2) GEOMETRICALLY
24 17 SECANT & SECANT RELATION : SOLVE X^2+2X-1=0 GEOMETRICALLY
14 07 SERIES - 3 MORE SERIES
14 14 SERIES - 6 MORE SERIES
14 01 SERIES - ARITHMETIC SERIES
14 22 SERIES - BIONMIAL COEFFICIENTS C(n;r)
14 15 SERIES - FUNCTIONS ARCTAN(X)
14 15 SERIES - FUNCTIONS COS(X)
14 15 SERIES - FUNCTIONS SIN(X)
14 03 SERIES - GEOMETRIC SERIES
14 05 SERIES - HARMONIC SERIES
14 02 SERIES - ODD INTEGERS
14 16 SERIES - P SERIES
14 26 SERIES - SPECIAL SERIES
14 12 SERIES - S(N) = 1 +2^2 +3^2 +4^2 +1/5^2 + ... +N^2
14 13 SERIES - S(N) = 1 +2^3 +3^3 +4^3 +1/5^3 + ... +N^3
14 23 SERIES - S=SQR(2*SQR(2*SQR(2*SQR(2*SQR(2*.....)))
14 24 SERIES - S=1/(1X2) +1/(2*3) +1/(3*4) + .... +1/(n*(n+1))
14 21 SERIES - TRIANGULAR NUMBER PATTERNS 1 +3 +6 +10 +....
04 04 SERIES - T(n) = n(n+1)/2! FIND S(n)
04 04 SERIES - T(n) = n(n+1)(n+2)/3! FIND S(n)
11 14 SIMPLE HARMONIC MOTION (SHM)
50 25 SINE CURVE : Y=SIN(X)
22 24 SINE LAW & COSINE LAW
19 16 SINE LAW - FIND ANGLES & SIDES (ASS)
38 15 SINE LAW - PROOF
20 12 SIN(A)=SQR(s(s-a)(s-b)(s-c))/(2bc) : PROOF
20 01 SIN(A+B)=SIN(A)*COS(B)+COS(A)*SIN(B) : PROOF
20 05 SIN(A-B)=SIN(A)*COS(B)-COS(A)*SIN(B) : PROOF
21 10 SIN( 9) & COS( 9)
21 10 SIN(18) & COS(18)
21 10 SIN(36) & COS(36)
30 10 SIX POINTS : HEXAGON
30 11 SIX POINTS : STARS
30 12 SIX POINTS : SIX COMPLEX ROOTS
30 13 SIX POINTS : SOLVE SPECIAL QUAINT EQUATION
30 14 SIX POINTS : QUAINT FUNCTION
27 11 SLOPE CURVE OF QUADRATIC FUNCTION
27 12 SLOPE CURVE OF Y=SIN(X)
27 13 SLOPE CURVE OF CUBIC FUNCTION
27 14 SLOPE CURVE OF Y=EXP(X)
11 13 SOLAR SYSTEM 9 PLANNETS
02 09 SQUARE & CIRCLE
02 10 SQUARE & CIRCLE
02 11 SQUARE & CIRCLE
12 23 SQUARE IN SQUARE- HOW MANY SQUARES ?
97 03 SQUARES IN SQUARES
21 12 STAR PATTERNS
19 30 STATISTICS : PROBABILITY CALCULATIONS
18 14 STUDENT t DISTRIBUTION : COMPARE WITH NORMAL
18 08 STUDENT t DISTRIBUTION : CALCULATION
18 10 STUDENT t DISTRIBUTION : CURVES
18 12 STUDENT t DISTRIBUTION : GIVE P(t < a) FIND a
18 13 STUDENT t DISTRIBUTION : MODE &
18 09 STUDENT t DISTRIBUTION : MEAN & VARIANCE
18 11 STUDENT t DISTRIBUTION : P(t > a) IN INTEGRAL FORM
30 15 SUN PATTERNS
65 09 SYMMETRICAL AXESE OF REGULAR POLYGON
12 02 SYMMETRICAL MATRIX & PASCAL TRIANGLE
14 08 S(N) =(1-1/2) *(1-1/3) *(1-1/4) * .... *(1-1/N)
14 09 S(N) =(1-1/4) *(1-1/9) *(1-1/16)* .... *(1-1/N^2)
14 10 S(N) =1/(1*2) +1/(2*3) +1/(3*4) + .... +1/(N*(N+1))
14 11 S(N) =1/(1*2*3) +1/(2*3*4) +1/(3*4*5) + ... +1/(N*(N+1)*(N+2)
14 06 S(N) =1 +1/2+2/2 +1/3+2/3+3/3 +1/4+2/4+3/4+4/4+.....
16 15 S.H.M. - EATH TUNNEL

T ***
06 07 TANGENT LINES OF CIRCLE
06 08 TANGENT LINES OF ELLIPSE
06 09 TANGENT LINES OF HYPERBOLA
06 10 TANGENT LINES OF PARABOLA
24 08 TANGENT TO CIRCLE : DEMO
24 09 TANGENT TO CIRCLE (POINT ON CIRCLE)
24 10 TANGENT TO CIRCLE (POINT OUTSIDE CIRCLE)
24 11 TANGENT : ANGLE BETWEEN TWO TANGENTS
63 14 TANGRAM : CHINESE PUZZLES
20 03 TAN(A+B)=(TAN(A)+TAN(B))/(1-TAN(A)*TAN(B)) : PROOF
20 07 TAN(A-B)=(TAN(A)-TAN(B))/(1+TAN(A)*TAN(B)) : PROOF
26 01 TEMPERATURE
26 01 THERMOMETER
38 11 THREE LINES : INEQUALITY & ENCLOSED AREA
27 02 THREE POINTS : AC+BC = MINIMUM - POINT C (0;k)
28 12 THREE POINTS : AREA OF TRIANGLE
28 18 THREE POINTS : DISTANCE
28 07 THREE POINTS : EX-CIRCLE CENTER & RADIUS
28 13 THREE POINTS : LOCUS
28 13 THREE POINTS : LOCUS OF BISECTOR OF LINE
28 14 THREE POINTS : LOCUS OF CIRCLE
28 15 THREE POINTS : LOCUS OF ELLIPSE
28 17 THREE POINTS : LOCUS OF HYPERBOLA
28 16 THREE POINTS : LOCUS OF PARABOLA
28 11 THREE POINTS : PARABOLA
13 01 THREE POINTS : TRIANGLE
99 13 TRANSLATION : QUIZ
15 27 TRANSFORMATION : FUNCTION
15 12 TRANSFORMATION : GIVE MATRIX & DATA
15 28 TRANSFORMATION : Y=SIN(A) & Y=a+b*SIN(c*A+d)
15 29 TRANSFORMATION : Y=COS(A) & Y=a+b*COS(c*A+d)
15 30 TRANSFORMATION : Y=X^2 & Y=a+b*(c*A+d)^2
15 31 TRANSLATION : CONIC SECTION
97 02 TRIANGLES IN TRIANGLES
24 19 TRIANGLE : 3 POINTS FIND ANGLES & SIDES
24 20 TRIANGLE : 3 POINTS FIND ESCENTER & ES-RADIUS
24 21 TRIANGLE : 3 POINTS FIND INCENTER & IN-RADIUS
24 22 TRIANGLE : 3 POINTS FIND EXCENTER & EX-RADIUS
20 13 TRIANGLE : AREA=SQR(s(s-a)(s-b)(s-c)) : PROOF OF HERON FORMULA
19 23 TRIANGLE : AREA IF 3 SIDES (SSS) ARE GIVEN
19 25 TRIANGLE : AREA IF 3 POINTS ARE GIVEN
19 24 TRIANGLE : AREA IF SAS ARE GIVEN
02 05 TRIANGLE : ES-CENTER & ES-CIRCLE
24 14 TRIANGLE : ESCENTER & BE = s
02 03 TRIANGLE : EX-CENTER & EX-CIRCLE
19 27 TRIANGLE : EX-CENTER & RADIUS
05 12 TRIANGLE : EX-CENTER & RADIUS
13 03 TRIANGLE : EX-CENTRAL TRIANGLE
23 04 TRIANGLE : FIVE CENTERS
24 13 TRIANGLE : INCENTER & BD = s - b
02 04 TRIANGLE : IN-CENTER & IN-CIRCLE
19 26 TRIANGLE : IN-CENTER & RADIUS
05 13 TRIANGLE : IN-CENTER & RADIUS
24 07 TRIANGLE : MEDIANS ARE USED TO DRAW TRIANGLE
05 01 TRIANGLE : MEDIANS ARE USED TO DRAW TRINAGLE
20 19 TRIANGLE : MEDIANS & GRAVITY CENTER
24 02 TRIANGLE : MID POINT THEORY
13 02 TRIANGLE : PEDAL TRIANGLE
20 17 TRIANGLE : RADIUS OF INCIRCLE
20 18 TRIANGLE : RADIUS OF EXCIRCLE
23 03 TRIANGLE : VARIOUS NMAES
28 01 TRIANGLE & EX-CENTER
28 02 TRIANGLE & IN-CENTER
28 03 TRIANGLE & ES-CENTER
28 04 TRIANGLE & ORTHO-CENTER
28 05 TRIANGLE & GRAVITY-CENTER
14 21 TRIANGULAR NUMBER PATTERNS 1 3 6 10 ...
21 01 TRIGONOMETRICAL RATIOS : DEFINITIONS
22 01 TRIGONOMETRICAL RATIOS : DEFINITIONS
21 05 TRIGONOMETRICAL FORMULA : HALF ANGLES
21 04 TRIGONOMETRICAL FORMULA : MULTIPLE ANGLES
21 07 TRIGONOMETRICAL FORMULA : PRODUCT FUNCTIONS
21 02 TRIGONOMETRICAL FORMULA : PYTHAGOREAN RELATIONS
21 03 TRIGONOMETRICAL FORMULA : SUM OF ANGLES
21 06 TRIGONOMETRICAL FORMULA : SUM OF FUNCTIONS
21 15 TRIGONOMETRICAL FUNCTIONS : EVEN FUNCTION
21 16 TRIGONOMETRICAL FUNCTIONS : ODD FUNCTION
21 14 TRIGONOMETRICAL FUNCTIONS : PERIODS
50 25 TRIGONOMETIRCAL FUNCTION : Y=SIN(X)
50 26 TRIGONOMETIRCAL FUNCTION : Y=COS(X)
50 27 TRIGONOMETIRCAL FUNCTION : Y=TAN(X)
50 28 TRIGONOMETIRCAL FUNCTION : Y=CSC(X)
50 29 TRIGONOMETIRCAL FUNCTION : Y=SEC(X)
50 30 TRIGONOMETIRCAL FUNCTION : Y=COT(X)
50 31 TRIGONOMETIRCAL FUNCTION : Y=SIN(X) & Y=CSC(X)
50 32 TRIGONOMETIRCAL FUNCTION : Y=COS(X) & Y=SEC(X)
21 08 TRIGONOMETRY & ALGEBRA : COMPARISON EXAMPLE
21 09 TRIGONOMETRY & ALGEBRA : COMPARISON EXAMPLE
21 20 TRIGONOMETRY TO ALGEBRA
22 03 TRIGONOMETRY : CO-RELATED ANGLE 90 - A : SIN( 90-A)=+COS(A)
22 04 TRIGONOMETRY : CO-RELATED ANGLE 90 + A : SIN( 90+A)=+COS(A)
22 05 TRIGONOMETRY : CO-RELATED ANGLE 270- A : SIN(270-A)=-COS(A)
22 06 TRIGONOMETRY : CO-RELATED ANGLE 270+ A : SIN(270+A)=-COS(A)
22 07 TRIGONOMETRY : RELATED ANGLE 180 - A : SIN(180-A)=+SIN(A)
22 08 TRIGONOMETRY : RELATED ANGLE 180 + A : SIN(180+A)=-SIN(A)
22 09 TRIGONOMETRY : RELATED ANGLE 360 - A : SIN(360-A)=-SIN(A)
22 10 TRIGONOMETRY : RELATED ANGLE 360 + A : SIN(360+A)=+SIN(A)
22 11 TRIGONOMETRY : PYTHAGOREAN RELATIONS - UINT CIRCLE & UNIT HYPERBOLA
21 24 TRIGONOMETRY : PYTHAGORIAN RELATION
22 02 TRIGONOMETRY : SIN(X) IS GIVEN FIND OTHER RATIOS
22 17 TRIGONOMETRY : SPECICAL ANGLES - 0 90 180 270 360 DEGREES
22 18 TRIGONOMETRY : SPECICAL ANGLES - 30 45 60 120 135 150 DEGREES
22 19 TRIGONOMETRY : SPECICAL ANGLES - 15 225 675 75 DEGREES
22 20 TRIGONOMETRY : SPECICAL ANGLES - 9 18 36 DEGREES
55 03 TWIN PATTERNS : R=1+SIN(p*A/q)^M & R=1+COS(p*A/q)^M (SEE CHAPTER 55)
38 19 TWO LINES : POINT OF INTERSECTION
27 01 TWO POINTS : DISTANCE BETWEEN TWO POINTS
27 07 TWO POINTS : LINES
27 05 TWO POINTS : MID-POINT OF TWO POINTS (A LINE)
27 06 TWO POINTS : MOVING POINT KEEP SAME DISTANCE FROM FIX POINT
01 05 TWO TO POWER n (VALUE OF 2^n)

U ***
22 11 UNIT CIRCLE
50 60 UNIT CIRCLE
50 61 UNIT HYPERBOMLA
01 04 UNIT FRACTION

V ***
49 19 VERTEX (h:k) & POINT (X1;Y1) OF QUADRATIC FUNCTION
03 04 VERTEX OF QUADRATIC FUNCTION
05 08 VERTICAL ASYMPTOTE (OPTION #11 & #20)
16 16 VERTICAL DISTANCE OF A POINT ON MOVING WHEEL (SHM)
15 02 VERTICAL SHEAR TRANSFORMATION
15 05 VERTICAL STRETCH

W ***
36 20 WAVE SUPERIMPOSITION SAMPLE
11 16 WEEK - FIND WEEK DAY WHEN YOU WERE BORN
62 11 WEEK - FIND WEEK DAY

X ***
03 01 XY-COORDINATES
12 04 X^4 +X^3 +X^2 +X +1 = 0 : GRAPHIC METHOD
21 22 X^N + 1 = 0 : GRAPHIC METHOD
21 23 X^N - 1 = 0 : GRAPHIC METHOD

Y ***
05 08 Y = (1+X)^(1/X) : OPTION #9
05 08 Y = (1+1/X)^X : OPTION #10
48 20 Y = ((x-1)^M)/(2*x)
48 12 Y = ((x-1)^M)/(2*x^2)
48 13 Y = ((x-1)^M)/(a*x^2+b*x+c)
05 08 Y = ABS(X^2-2*X-3)
05 08 Y = ABS(X^2-2*ABS(X)-3) : OPTION #19
05 08 Y = ABS(X^2-6*ABS(X)+8)
12 05 Y = ABS(a*X^2+b*ABS(X)+C) : ABS = ABSOLUTE OPERATION
03 15 Y = A*X^2+B*X+C
15 29 Y = COS(A) & Y=a+b*COS(c*A+d) : TRANSFORMATION
15 28 Y = SIN(A) & Y=a+b*SIN(c*A+d) : TRANSFORMATION
36 20 Y = SIN(X)/X
15 30 Y = X^2 & Y =a+b*(c*A+d)^2 : TRANSFORMATION
84 03 Y = (3*X^3+2*X)/(-2*X^3-X^2+X) : Asymptotes & zeros
49 08 Y > A*X^2+B*X+C
49 09 Y < A*X^2+B*X+C

Z ***
11 10 Z = COS(SQR(X^2+Y^2))
12 11 Z = COS(SQR(X^2+Y^2))
05 09 Z = SIN(SQR(X^2+Y^2))
11 09 Z = SIN(SQR(X^2+Y^2))
05 09 Z = SIN(X)*SIN(Y)/(X*Y)

NEW ***
17 07 Roots : Give a b c d e & 4 roots
17 10 Roots : Give a b c d e f & 5 roots
22 21 TRIGONOMETRY : PERIODIC PROPERTIES
22 22 TRIGONOMETRY : EVEN FUNCTION PROPERTIES
22 23 TRIGONOMETRY : ODD FUNCTION PROPERTIES
22 25 INVERSE TRIGONOMETRICAL FUNCTIONS
22 26 TRIGONOMETRY : SPECIAL TOPICS
22 27 TRIGONOMETRY : EXAMPLES
23 05 QUADRILATERAL : VARIOUS NAMES
23 07 CIRCLE : LOCUS & TANGENT
23 08 CIRCLE : ANGLE; CHORD; TANGENT
23 09 SOLID DIAGRAMS : VOLUME FORMULA
23 10 POLYGONS & APPROXIMATE VALUE OF PI
23 11 TRIANGLES & THEOREMS
24 01 PYTHAGOREAN LAW : APPLICATION
24 03 RIGHT TRIANGLE : ONE ANGLE IS 30 DEGREES
24 18 INTERSECTION OF TWO LINES
25 01 GRAVITY CENTER
25 02 ORTHOCENTER
25 03 EXCENTER CENTER
25 04 ORTHOCENTER EXCENTER GRAVITY CENTER ARE COLINEAR
25 05 CONCYCLIC
26 15 ONE REAL ROOT OF EQUATION
26 19 DECIMAL POINT : VALUE & POWER
27 03 DISTANCE FORMULA : FREE FALLING BODY
27 04 DISTANCE FORMULA : FREE FALLING BODY FORMULA
27 08 BISECTOR OF A LINE
27 09 TANGENT OF Y=X^2
27 10 LINEAR INTERPOLATION TO VARIOUS CURVES
27 15 Y=F(X) & Y=1/F(X) WITH F(X) HAS TWO ZEROS
27 16 Y=X^N+1 NO ZERO VALUE IF N IS EVEN
27 17 Y=X^N-1 HAS TWO ZERO VALUES IF N IS EVEN
27 18 QUADRATIC EQUATION A*X^2+B*X+C=0
27 19 POSITIONS OF ROOTS
28 06 THEOREMS OF TRIANGLE
28 08 LOCUS OF C : AB FIXED & ANGLE ACB KEEPS SAME
28 09 LOCUS OF GRAVITY CENTER OF ABC
28 10 LOCUS OF HIGHT FEET OF TRIANGLE ABC
28 19 AREA OF TRIANGLE
28 20 Y=F(X) & Y=1/F(X) : F(X) HAS 3 ZERO VALUES
29 05 INSCRIBED CIRCLE OF A QUADRILATERAL
29 06 LOCUS OF POINT D RELATED WITH POINT C
29 07 INTERSECTION OF TWO LINES
29 09 PARALLEL LINES
29 16 AREA UNDER CURVE Y=EXP(-X^2) FROM X=0 TO X=4
29 17 AREA UNDER CURVE Y=SECH(X) FROM X=0 TO X=15
29 18 AREA UNDER CURVE Y=4/(1+X^2) FROM X=0 TO X=1
29 19 AREA UNDER CURVE Y=SIN(X)/X FROM X=0 TO X=10*PI
29 20 Y=F(X) & Y=1/F(X) WITH F(X) HAVING 4 ZEROS
38 05 ONE POINT TO TWO FIXED POINTS HAS SAME DISANCE
38 07 FOUR POINTS A B C D : IS LINE AC PERPENDICULAR LINE BD ?
38 09 EQUATION OF LINE IN VARIOUS FORMS
38 10 TWO LINES : ANGLE BETWEEN TWO LINES
38 18 SOLVE QUADRATIC EQUATION

QUIZ ***
97 01 PASCAL TRIANGLE & MATRIX
97 04 PASCAL TRIANGLE & BINOMIAL THEOREM
97 05 PASCAL TRIANGLE & FIBONACCI SERIES
97 06 TRIANGULAR NUMBER SEQUENCE
97 07 FIRST & SECOND DIFFERENCES
97 08 QAUDRATIC FUNCTION : Y-INTERCEPT & ROOTS
97 09 CUBIC FUNCTION : COEFF & ROOTS
97 10 NUMBER OF PETALS : R=SIN(p*A/2)
97 11 IMAGINARY NUMBER : i^n
97 12 NUMBER OF PETALS OF RCOS(N*A)
97 13 PASCAL TRIANGLE : FIBONACI SEQENCE
97 14 PARABOLA & VERTEX
97 15 ROOTS OF QUADRATIC EQUATION
97 16 SKETCH R=SIN(p*A/q)^M
97 17 FIND FUNCTION OF STAR PATTERNS
98 01 FIND AREA FROM GEOMETRICAL DIAGRAM
98 02 AREA FORMED BY 4 CIRCLES
98 03 CIRCLE & ANGLES
98 04 ANGLES FROM INTERSECTION OF CIRCLES
98 05 AREA FORMED BY 6 CIRCILES
98 06 RIGHT TRIANGLE
98 07 INCENTER & ESCENTER OF TRIANGLE
98 08 PASCAL TRIANGLE
98 09 ROOTS & COEFFICIENTS
98 10 SPECIAL MATRIX & NUMBER SEQUENCE
98 11 AREA OF SECTORS & TRIANGLES
99 02 DERIVATIVES & SLOPES
99 03 INTEGRALS & AREA UNDER CURVE
99 07 HEXADECIMAL NUMBER
99 08 BINARY TO OCTAL NUMBER
99 09 BINARY TO HEXADECIMAL NUMBER
99 12 TWO BYTE INTEGERS
99 END

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