 | Charles Davies - Geometry - 1855 - 340 pages
...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... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...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." Axiom 10 (of Legendre).... | |
 | Mathematics - 1866 - 426 pages
...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... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...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... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...their sum would be equal to the sum of the successive angles ACB, BCD, DCE, ECF, FCA. PROPOSITION V. THEOREM. If two triangles have two sides and the included angle of thn one, equal to two sides and the included angle of the other, each to each, the two triangles will... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...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 - Bridge building - 1857 - 250 pages
...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 - Bridges - 1859 - 226 pages
...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,... | |
 | Charles Davies, William Guy Peck - Mathematics - 1859 - 622 pages
...Prop. V. " When two triangles have two sid'-s, ami the included angle of the one equal lo 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 arc equal to each other.1' Axiom 10 (of Legendrc).... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...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... | |
| |
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. 
