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" ... equal angles in each ; then shall the other sides be equal each to each : and also the third angle of the one to the third angle of the other. "
Orr's Circle of the Sciences: The mathematical sciences - Page 58
edited by - 1854
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each, then shall the other sides be equal, each to each, and the third angle of the one to the third angle of the other. PART. ENUN. — Let ABC, DEF be two As,...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...the other. PROP. XXVI. THEOREM. adjacent to the equal angles in each, or the sides opposite to them ; then shall the other sides be equal, each to each,...angle of the one to the third angle of the other. PROP. XXVII. THEOREM. If a straight line falling upon two other straight lines make the alternate angles...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each ; then shall the...angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...equal angles, common to the two triangles; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other (Prop. VII.), viz. Cor. Two parallels, AB, CD, comprehended between two other parallels, AC, BD, are...
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Papers for the schoolmaster, Volume 3

1867 - 336 pages
...one equal to two angles of the otner, each to each, and one side equal to one side, viz., the sides opposite to equal angles in each, then shall the other...each to each, and also the third angle of the one equal to the third angle of the other. Construct two triangles which have two sides of the one equal...
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Papers for the schoolmaster, Volumes 1-6

582 pages
...angles of the ". eaoh to each, and one side equal to one side: namely, the side opposite , k? eo,ual angles in each ; then shall the other sides be equal, each to each, IB the following proposition universally true ? "If two plane triangles have three elements of the...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each; then shall the other...angle of the one to the third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC, BCA equal to the angles DEF, EFD, •viz....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each; then shall the other...angle of the one to the third angle of the other. LET abС, def be two triangles which have the angleš abС, bСa equal to the angles def, efd, viz....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...equal to one side, viz., either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each ; then shall the other sides...angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...each; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each; then shall the other...each to each; and also the third angle of the one to tie third angle of the other. Let ABC, DEF, be two triangles which have the angles ABC, BCA, equal...
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