 | Charles Davies - 1855 - 340 Seiten
...DEB (Ax- 3)In the same manner we may prove that the angle AED is equal to the angle CEBTHEOREM IV^ If two triangles have two sides and the included angle...the one, equal to two sides and the included angle of the o1l1er, each to each, the two triangles will be equalLet the triangles ABC and DEF have the... | |
 | 1866 - 426 Seiten
...his Demonstration of I. G anything else ? by supposing BG = AC. he obtains two triangles having two sides and the included angle of the one equal to two sides and the included angle of the other ; two triangles, which, if the supposition BG = AG is correct should, applied one upon... | |
 | Charles Davies, William Guy Peck - 1855 - 628 Seiten
...themselves will bo equal." Prop. V. " When two triangles have two sides, and the included angle of the une equal to two sides and the included angle of the other, each to each, the two triangles will be equal. "Axiom 1. Things which are equal to tho same thing are equal to each other."... | |
 | George Roberts Perkins - 1856 - 460 Seiten
...line which has the sum of the interior angles less than two right angles. OF TRIANGLES. THEOREM XX. If two triangles have two sides and the included angle of the one, equal to the two sides and the included angle of the other, the triangles will fie identical, or equal in all... | |
 | Elias Loomis - 1857 - 242 Seiten
...because AB is equal to CD, and BC is common to the two triangles ABC, BCD, the two triangles ABC, BCD have two sides and the included angle of the one, equal to two sides and the included angle of the other ; therefore, the side AC is equal to BD (Prop. VI.), and the angle ACB to the angle CBD.... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 Seiten
...by construction, AG=DE: DF, Q D B AH. CEP DF; hence AH=DF. Therefore, the two triangles A GH, DEF, have two sides and the included angle of the one equal to two sides and the included angle of the other : hence, they are equal (BI, p. 5) ; but the triangle A GH is similar to ABC : therefore,... | |
 | Elias Loomis - 1858 - 256 Seiten
...because AB is equal to CD, and BC is common to the two triangles ABC, BCD, the two triangles ABC, BCD have two sides and the included angle of the one, equal to two sides and the included angle oi the other ; therefore, the side AC is equal to BD (Prop. VI.), and the angle ACB to the angle CBD.... | |
 | William E. Bell - 1857 - 250 Seiten
...FAGE is equivalent to the square P. Again, the two triangles ABH rod CBI are equal, having also two sides and the included angle of the one equal to two sides and the included angle of the other ; and AHB is half of 'he square X, and CBI is half of the rectangle FBIG : therefore,... | |
 | William E. Bell - 1859 - 226 Seiten
...two quantities ; 8; AXS:BX8:: A:B; (AX8)XB=(BX8)XA, AX8:BX8::A:B. Proposition VIII. Theorem. Wlien two triangles have two sides and the included angle...the one equal to two sides and the included angle of tJn other, each to each, the two triangles are equal. 1n the triangles ABC and DEF, let AB=DE, AC=DF,... | |
 | George Roberts Perkins - 1860 - 472 Seiten
...which has the sum of the interior angles less than two right angles. OF TRIANGLES. • THEOREM XX. If two triangles have two sides and the included angle of the one, equal to the two sides and the included angle of the other, the triangles will be identical, or equal in all... | |
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If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal. 
