 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 are equal in all respects.  Mathematics, mechanics, heat - Page 21by American School (Chicago, Ill.) - 1903Full view - About this book
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...And in the same manner it may be shown that the angle AFD is equal to BFC. PROPOSITION III. THEOREM. 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... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...their sum would be equal to the successive angles ACB, BCD, DCE, ECF, FCA. PROPOSITION V. THEOEEM. 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. In... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...theside AD=BC, by hypothesis; the s1de AB common, and the angle A equal to the angle B : hence, the 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 : hence, the two trIangles are equal... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...would be equal to the Bum of the successive angles ACB, BCD, DCE, ECF, FCA. PROPOSITION V. THEOREM. 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. In... | |
 | Samuel Simon Schmucker, S. S. (Samuel Simon) Schmucker - History - 1855 - 332 pages
...the nature, eg, of the demonstration of the theorem of Euclid known as Prop. IV. of Book I., viz.: If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they must be identical or equal in all respects.... | |
 | 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 of the one, equal to two sides and the included angle of the o1l1er, each to each, the two triangles will be equalLet... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...angles will also be equal, each to each, and the triangles themselves will bo equal." Prop. V. " When 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. "... | |
 | 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... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...straight lines meeting in one point, are together equal to four right angles. PROPOSITION VI. THEOREM. 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, their... | |
 | 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 of the one equal to two sides and the included angle of tJn other, each to each, the two triangles are equal. 1n the... | |
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