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Books Books 41 - 50 of 195 on If two triangles have two angles of the one equal to two angles of the other, each....
" 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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 45
by Euclid, Robert Simson - 1892 - 518 pages
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

James Thomson - Geometry - 1845 - 358 pages
...equal. Hence (I. 6) CH is equal to HD, DK to KE, &c. Also, in the triangles CHD, DK_E, there are two angles of the one equal to two angles of the other, each to each, and (hyp.) the sides CD, DE are equal : therefore (I. 26) the sides CH, HD are equal to DK, KE, each to...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Robert Simson - Geometry - 1845 - 199 pages
...and tho angle AEG is equal:f to the angle BEH ; therefore thu triangles AEG, t 15' !• 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...right angle FHC equal to the right angle FKC ; '.. ; therefore in the triangles FHC, FKC, there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is opposite to one of the equal angles in each, is common to both; therefore the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 317 pages
...therefore the angle BAC is greater than the angle EDF. B PROP. XXVI. THEOR. 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 angles, or the sides opposite...
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The Elements of Geometry, Symbolically Arranged

Geometry - 1846
...BAC > Z EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. 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 shall the other sides be equal, each to each, and also the...
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The Elements of Geometry, Symbolically Arranged

Geometry - 1846
...BAC > L EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. 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 angles, or the sides opposite...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...angle EEC : And the angle AEG is equal to the angle BEH ; 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 — therefore GE is equal to EH,...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...triangles (BAC, DEF) have two angles of the one equal to two angles of the other (B to D and C to F) ; and a side of one equal to a side of the other, that is, either the sides which are between the equal angles (as BC to DF) or opposite to the equal...
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847
...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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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

William Trollope - 1847
...Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — 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 angles, or the sides opposite...
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