搵math既中文(定理)轉英文~

∠ sum of △
adj.∠ on st.line
∠ at a pt.
alt. ∠s, AB//CD
corr. ∠s, AB//CD
int. ∠s, AB//CD
corr. ∠s equal
alt. ∠s equal
int. ∠s equal
vert. opp. ∠s
ext. ∠ of △
base ∠s, isos. △
prop. of isos. △
prop. of equil. △
sides opp. equal ∠s


2009-02-18 16:42:24 補充：
adj. ∠s on st. line直線上的鄰角

∠s at a pt.同頂角

vert. opp. ∠s對頂角

corr. ∠s, AB//CD同位角

int. ∠s supp.同旁內角

2009-02-18 16:43:01 補充：
三角形和多邊形的角:

∠ sum of Δ三角形內角和

ext. ∠ of Δ三角形外角和

∠ sum of polygon多邊形內角和

sum of ext. ∠s of polygon多邊形外角和



特別的三角形:

base ∠s, isos.Δ

sides opp. equal ∠s

property of isos. Δ

property of equil. Δ

2009-02-18 16:43:25 補充：
全等及相似三角形:

corr. ∠s, ~= Δs

corr. sides, ~= Δs

corr. ∠s, ~ Δs

corr. sides, ~ Δs

3 side prop.

ratio of 2 sides, inc.∠



mid-pt. theorem

intercept theorem

base ∠s, isos.Δ 等腰三角形對角相等

sides opp. equal ∠s 等邊對角相等

property of isos. Δ 等腰三角形特性

2009-02-18 16:43:35 補充：
corr. ∠s, ~= Δs 全等Δ對應角

corr. sides, ~= Δs 全等Δ對應邊

corr. ∠s, ~ Δs 相似Δ對應角

corr. sides, ~ Δs 相似Δ對應邊

3 side prop. 三邊成比例

ratio of 2 sides, inc.∠ 兩邊成比例及對角相等



mid-pt. theorem 中點定理

intercept theorem 截線定理

2009-02-18 16:44:42 補充：
1. Angle sum of triangle = ∠sum of Δ Δ內角和

2. Exterior angle of triangle = ext. ∠ of Δ . Δ外角

3. Pythagoras' theorem = Pyth. theorem 畢氏定理

4. Converse of Pythagoras' theorem = Converse of Pyth. theorem 畢氏定理的逆定理

2009-02-18 16:45:06 補充：
5. Angle sum of polygon = ∠sum of polygon 多邊形內角和

6. Sum of exterior angles of polygon = sum of ext. ∠s of polygon 多邊形外角和

7. Angles at a point = ∠s at a pt. 同頂角

8. Vertically opposite angles = vert. opp. ∠s 對頂角

9. Adjacent angles on a straight line = adj. ∠s on st. line 直線上的鄰角

2009-02-18 16:45:25 補充：
10. Corresponding angles 同位角

11. Alternate angles 內錯角

12. Interior angles on the same side 同旁內角

13. Corresponding angles = corr. ∠s, AB//CD 同位角相等

14. Alternate angles = alt. ∠s, AB//CD 內錯角相等

15. Interior angles on the same side = int. ∠s, AB//CD 同旁內角互補

2009-02-18 16:48:09 補充：
16. Base angles of an isosceles triangle = base ∠s, isos. Δ 等腰Δ底角

17. Equiangular 等角對邊相等

18. Nature of isosceles triangle 等腰Δ性質

19. Nature of equilateral triangle 等邊Δ性質

2009-02-18 16:48:24 補充：
20. Correspomding sides of congruent triangle 全等Δ的對應邊

21. Corresponding angles of congruent triangle 全等Δ的對應角

22. Corresponding sides of simular triangle 相似Δ的對應邊

23. Corresponding angles of simular triangle 相似Δ的對應角

2009-02-18 16:48:41 補充：
24. Three sides proportional = 3 sides proportional 三邊成比例

25. Ratio of two sides included angles = ratio of 2 sides, inc. ∠兩邊成比例且夾角相等

26. Angle bisector 角平分線

27. Perpendicular bisector 垂直平分線

2009-02-18 16:49:06 補充：
28. Median 中線

29. Altitude 頂垂線

30. Common sides 公共邊

31. Common angles 公共角

Polygons:

(∠ sum of polygon) (sum of ext.∠ of polygon)

2009-02-18 16:49:28 補充：
Others:

(adj.∠s on st. line) (vert. opp.∠s) (∠s at a pt.) (AB⊥CD) (given) (proved) (By construction) (intercept theorem) (mid-pt. theorem)

Parallel lines:

(corr.∠s, AB//CD) (alt.∠s, AB//CD) (int.∠s, AB//CD)

(corr.∠s equal) (alt.∠s equal) (int.∠s supp.)

2009-02-18 16:49:52 補充：
Parallelograms / quadrilaterals:

(opp.∠s of //gram) (opp. sides of //gram) (diags. of //gram)

(opp. sides equal and // ) (opp. sides equal) (opp.∠s equal) (diag. bisect each other)(property of rectangle) (property of square) (property of rhombus)

2009-02-18 16:50:07 補充：
Circles:

(radii) (line from centre⊥chord bisects chord) (line joining centre to mid-pt. of chord⊥chord) (equal chords, equidistant from centre) (chord equidistant from centre are equal) (∠at centre twice ∠ at ☉ce) (∠in semi-circle)

2009-02-18 16:50:18 補充：
Circles:

(∠s in the same segment) (equal ∠s, equal arcs) (equal ∠s, equal chords) (equal arcs, equal ∠s) (equal arcs, equal chords) (equal chords, equal arcs) (equal chords, equal ∠s) (arcs prop. to ∠s at centre) (arcs prop. to ∠s at ☉ce)

2009-02-18 16:50:28 補充：
Cyclic quadrilaterals:

Uses: (opp. ∠s, cyclic quad.) (ext. ∠s, cyclic quad.)

Tests: (converse of ∠s in the same segment) (opp. ∠s supp.) (ext.∠= int. opp.∠)

2009-02-18 16:50:38 補充：
Tangents:

(tangent⊥radius) (converse of tangent⊥radius)

(tangent properties)

(∠in alt. segment) (converse of ∠in alt. segment)