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If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 26
por Euclides - 1853
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 332 páginas
...GNK, and the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK, GMN have two angles of the one equal to two angles of the other, and they have also the side GM common, therefore they are equal(26. 1.),and the side KM is equal to...
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## An elementary course of mathematics, Volumen2

Samuel Hunter Christie - 1847 - 172 páginas
...the angle EBC : and the angle AEG is equal to the angle BEH (I. 15): therefore the triangles AEG, BEH have two angles of the one equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another: wherefore they have their other...
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## Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 páginas
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,...
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## Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 332 páginas
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal, (Prop, xxiv, Cor. 1,) namely, the angle B equal to the angle D,...
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## Papers for the schoolmaster, Volúmenes1-6

582 páginas
...parallelograms are equal." State and prove the onverse of this proposition. ,"*• *i two triangles have two angles of the one equal to two angles of the ". eaoh to each, and one side equal to one side: namely, the side opposite , k? eo,ual angles in each...
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## Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 páginas
...consequently, the equiangular triangles BAC, CED, are two similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar ; for, the third angles are then equal, and the two triangles are equiangular (B. L, P....
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## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 páginas
...the right angle BED is equal to the right angle BFD ; the two triangles EUCLID 8 ELEMENTS. EBD, FBD have two angles of the one equal to two angles of the other ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore...
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## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 páginas
...bisected by Ь d, and that the right angle bed is equal to the right angle bfd, the two triangles ebd, fbd have two angles of the one equal to two angles of the other, and the side bd, which is opposite to one of the equal angles in each, is common to both ; therefore...
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## The popular educator, Volumen4;Volumen7

Popular educator - 1854 - 1274 páginas
...triangles, &c. QED Scholium. The enunciation of this proposition may be thu» simplified : If two triangles have two angles of the one, equal to two angles of the other, each to each, and u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles...
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## Elements of geometry and mensuration

Thomas Lund - 1854 - 522 páginas
...the difference between any two sides is less than the third side. 39. PROP. XVII. If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the side which is common to those angles in the one equal to the side which is common to the...
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