 | 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...the one equal to two sides and the included angle of the other, they must be identical or equal in all respects. For it virtually consists in supposing... | |
 | 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...the one 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 the... | |
 | 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... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...equilateral. PROPOSITION XIII. THEOREM. If two triangles on equal spheres have two sides, and the tit. eluded angle of the one, equal to two sides and the included angle of the other, each to each, their third sides will be equal, and their other angles will be equal,... | |
 | 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...the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal, their third sides will be equal, and their... | |
 | 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,... | |
 | 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... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...sides of the same square ; and BF equal to BC, for the same reason ; therefore the triangles ABF, HBC have two sides and the included angle of the one equal to two sides and the included angle of the other; hence they arc themselves equal (Prop. V. Bk. I.). EG ELEMENTS OF GEOMETRY. same altitude... | |
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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 are equal in all respects. 
