Mathematics Dictionary
Dr. K. G. Shih
Geometric Index
Symbol Defintion
...... Example : x^2 = square of x
Keywords
.............. Find given keyword by numbers
A
|
B
|
C
|
D
|
E
|
F
|
G
|
H
|
I
|
J
|
K
|
L
|
M
|
N
|
O
|
P
|
Q
|
R
|
S
|
T
|
U
|
V
|
W
|
X
|
Y
|
Z
|
Answers
Q01. A
02 08 Altitudes of triangle
03 12 Altitudes of triangle ABC are given, construct triangle
01 07 Angle of triangle ABC : External angle of B = angle A + angle C
01 02 Angle related with two parallel lines
21 01 Angle : Diagrams of various angles
01 01 Angle : Various names of angles
Go to Begin
Q02. B
21 02 Bisector of angle : Diagrams
02 01 Bisector of angle : Theory
03 03 Bisector of angles of triangle : Incenter
07 08 Bisector of angles of triangle : Incenter theory
21 02 Bisector of line : Diagrams
02 02 Bisector of line : Theory
Go to Begin
Q03. C
01 06 Central angle and inscribed angle
08 04 Chord and chord relation
01 06 Chord and tangent angle
04 05 Circle : If n point on circle, how many chords can be made ?
21 01 Circle : Names of angles
04 01 Circle : Three point define a circle
21 04 Circle : How to plot a circle passing 3 given points
04 02 Circle : Draw tangents from outside point to circle
04 03 Circle : Draw tangent to point on circle
27 05 Circle : Inscribed an equilateral triangle
27 06 Circle : Inscribed an equilateral triangle
19 00 Circle : Nine points circle : Defintion and proof
04 06 Circle : Tangents 4 sides of quadrilateral
03 02 Circle : Tangents 3 sides of triangle
27 03 Circle : Three circles touch each other with same common tangent
03 08 Cicum-center and orhto-center relation
03 09 Circum-center, gravity center and ortho-center are colinear
04 07 Concyclic of four points
11 00 Construction geometry
Go to Begin
Q04. D
05 01 Decagon
05 01 Dodecagon
Go to Begin
Q05. E
11 15 Ellipse : Construction using definition of locus
27 05 Equilateral triangle : Circle is inscribed in triangle
27 06 Equilateral triangle : Circle is inscribed in triangle
27 18 Equilateral triangle : Distance inside point to sides equals hieght
27 17 Equilateral triangle : Divide side into 3 equal parts
27 20 Equilateral triangle : Hexagon inscribed
27 11 Equilateral triangle : It's Ex-central triangle
27 10 Equilateral triangle : It's Pedal triangle
27 07 Equilateral triangle : Square is inscribed in triangle
21 03 Ex-center of a triangle : Diagram
21 10 Ex-center of a triangle : Locus of ex-center
18 03 Ex-center of a triangle : proof of concurrent
15 08 Ex-center : Bisectors are concurrent
15 09 Ex-center : Tangent from A to ex-circle is s where s = (a+b+c)/2
27 11 Ex-central triangle of an equilateral triangle
18 00 Ex-central triangle : Defintion and properties
21 03 Ex-central triangle : Diagram
21 10 Ex-central triangle : Locus of es-center
Go to Begin
Q06. F
03 03 Five centers of triangle
Go to Begin
Q07. G
21 03 Gravity center of triangle : Diagram
21 10 Gravity center of triangle : Locus of gravity center
03 09 Gravity center, circum-center and ortho-center are colinear
Go to Begin
Q08. H
05 00 : Heptagon
05 00 : Hexagon
03 03 : Heights of triangle ABC are concurrent
03 12 : Heights of triangle ABC are given, construct triangle
Go to Begin
Q09. I
21 03 In-center of a triangle
18 04 In-center of triangle ABC coincides with ortho-center of ex-central triangle
21 10 In-center of a triangle : Locus of in-center
07 08 In-center theory of triangle
15 03 In-center : Bisectors are concurrent
15 04 In-center : Tangent from A to in-circle is (s - a)
01 06 Inscribed angle and central angle
05 02 Internal angles of polygon
Go to Begin
Q10. J
Go to Begin
Q11. K
Go to Begin
Q12. L
21 10 Locus of an arc
21 10 Locus of es-center of a triangle
21 10 Locus of ex-center of a triangle
21 10 Locus of gravity-center of a triangle
21 10 Locus of in-center of a triangle
21 02 Locus of line
Go to Begin
Q13. M
02 07 Medians of triangle
03 14 Median CF of traingle ABC : AC^2 + BC^2 = 2*(CF^2) + (AB^2)/2
03 03 Medians of triangle are concurrent
03 13 Medians of triangle are given, construct triangle
07 04 Mid-point D and E of BC and CA of a triangle : DE parallel to AB
07 04 Mid-point D and E of BC and CA of a triangle : DE = AB/2
Go to Begin
Q14. N
19 00 Nine points circle : Defintion and proof
05 01 Nonagon
Go to Begin
Q15. O
05 01 Octagon
21 03 Ortho-center of triangle
03 08 Ortho-center and circum-center relation
03 09 ortho-center, circum-center and centoid are colinear
16 02 Ortho-center : 3 altitudes are concurrent
16 04 Ortho-center : Defintion
16 05 Ortho-center : coincides with in-center of pedal triangle
16 06 Ortho-center : relation with circum center
16 09 Ortho-center : Distance to circum-center
16 10 Ortho-center : Distance to vertices A,B,C
16 11 Ortho-center : Distance to sides of triangle ABC
16 12 Ortho-center O, centroid G and circum-center V are colinear
Go to Begin
Q16. P
11 14 Parabola : Construction using definition of locus
21 01 Parallel lines : Names of angles
06 04 Parallelogram : Properties
27 10 Pedal triangle of an equilateral triangle
21 03 Pedal triangle : Diagram
17 00 Pedal triangle : Text
06 01 Pentagon
05 06 Pentagon to equal area tirnagle
21 04 Polygons : Names and internal angle of regular polygons
06 04 Properties of parallelogram
06 03 Properties of rectangle
06 05 Properties of rhombus
06 02 Properties of square
Go to Begin
Q17. Q
06 11 Quadrilateral : Change to equal area triangle
04 07 Quadrilateral : Inscribed a circle
04 06 Quadrilateral : Circle tangents to 4 sides
Go to Begin
Q18. R
06 05 Rhombus : Properties
Go to Begin
Q19. S
08 05 Secant and secant relation
03 11 Sides of triangle are given, construct triangle
06 10 Square : Change to equal area triangle
27 07 Square : Inscribed an equilateral triangle
06 02 Square : Properties
27 04 Square : Use mid point of each side to make 4 semi-circle
05 03 Symmetrical axis of polygon
Go to Begin
Q20. T
01 06 Tangent and chord angle
08 01 Tangent and normal
08 02 Tangent from ouside point to circle
18 05 Tangent from vertex A to ex-center is AE = AF = s = (a+b+c)/2
08 03 Tangent to point on circle
08 05 Tabgent and secant relation
27 19 Three points : One varying point on y-axis
27 08 Triangle : Area of triangle formed by medians
07 02 Triangle : Congruent rules
03 12 Triangle : Construction using given 3 heights
03 13 Triangle : Construction using given 3 medians
03 11 Triangle : Construction usimg given 3 sides
27 14 Triangle : Divide into 4 congruent triangles
27 11 Triangle : Ex-central triangle of an equilateral triangle
27 13 Triangle : Ex-central triangle of triangle ABC
21 03 Triangle : Five centers
03 03 Triangle : Five centers
07 05 Triangle : Join mid-points of triangle forming 4 equal triangle
03 03 Triangle : Mdians are concurrent
27 15 Triangle : Ortho-center, centroid, circum-center colinear
27 10 Triangle : Pedal triangle of an equilateral triangle
27 12 Triangle : Pedal triangle of triangle ABC
27 01 Triangle : Use given sides AB, AC and median AD to construct triangle
27 02 Triangle : Use given sides AB, medians AD and BE to construct triangle
07 03 Triangle : Similarity rules
03 01 Triangle : Various names
Go to Begin
Q21. U
Go to Begin
Q22. V
Go to Begin
Q23. W
Go to Begin
Q24. X
Go to Begin
Q25. Y
Go to Begin
Q26. Z
Go to Begin
Show Room of MD2002
Contact Dr. Shih
Math Examples Room
Copyright © Dr. K. G. Shih, Nova Scotia, Canada.
