 | George Albert Wentworth - Geometry - 1877 - 426 pages
...AС=BС, СE=СE, Hyp. Iden. Cons. §106 (two A are equal when two sides and the included Z of the one are equal respectively to two sides and the included Z of the other). .-.ZA=ZB, (being homologous A of equal A ). QED GEOMETRY. — BOOK I. PROPOSITION XXIX. THEOREM. 113.... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...B С E. Hyp. Iden. Cons. .'.AA CE = A П CE, §106 (having two sides and the included ¿ of the one equal respectively to two sides and the included Z of the other). Also, II. ¿CEA=¿CEB, (being homologous A of equal A). .'. C-Eis J- to AB, (a straight line meeting... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...CE = Z BСЕ; Hyp. Iden. Cons. §106 (two A are equal when two sides and the included Z of the one are equal respectively to two sides and the included Z of the other). (being homologous A of equal A ). QED Ex. If the equal sides of an isosceles triangle be produced,... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...If Z. A = ^A', then would AABC = A A' B' C', § 106 (having two sides and the included Z of the one equal respectively to two sides and the included Z of the other), and £ C = B' C', (being homologous sides of equal A ). And if A < A', then would BC < B' C', § 115 ,... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
....-.A ADB = A ADC, Hyp. Iden. Cons. §150 (two A are equal if two sides and the included Z of the one are equal respectively to two sides and the included Z of the other). -'- Z B = Z 6. QED 155. COR. An equilateral triangle is equiangular, and each angle contains 60°.... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...suppose ZA = ZD, A ABC would equal A DEF. [Two A are equal when two sides and the included Z of one are equal respectively to two sides and the included Z of the other.] (§ 63) Then, BC would equal EF. [In equal figures, the homologous parts are equal.] (§ 66) Again,... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...Z CAD. Const. .-. A ADB = A ADC, § 143 (two & are equal if two sides and the included Z of the one are equal, respectively, to two sides and the included Z of the other). .-. ZB = ZC, § 128 (being homologous angles of equal triangles). QED 146. COR. An equilateral triangle... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...ABC =Z . AB'C. .-.AABC=AAB'C, §143 (£u,o A are egwaJ i/ too sides and the included / . of the one are equal, respectively, to two sides and the included Z of the other). PROPOSITION XXV. THEOREM. 151. Two right triangles are equal if a leg and the hypotenuse of the one... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...by cons., Z GAH = Z CAH. .: A AGH = A ACH. [Two A are equal when two sides and the included Z of one are equal respectively to two sides and the included Z of the other.] (§ 63) .-. GH= CIL [In equal figures, the homologous parts are equal.] (§ 66) But, BH+GH>BG. [A str.... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...then the A ABC would be equal to the A DEF, § 143 (having two sides and the included Z of the one equal, respectively, to two sides and the included Z of the other), and BC would be equal to EF. And the ZA is not less than the ZD, for then BC would be less than EF. §154... | |
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ADC, § 143 (two & are equal if two sides and the included Z of the one are equal, respectively, to two sides and the included Z of the other). 
