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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. "
Euclid's Elements of geometry, books i. ii. iii. iv - Page 25
by Euclides - 1862
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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 also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...sides adjacent ' to the equal angles, or the sides opposite to the equal angles in each ; then shall the other sides be equal, each to each, and also the third angle of the one tothe third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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 also the third angle of the one to the third angle of the other: Let A BC, DEF be two triangles which have the angles ABC, BCA equal...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 352 pages
...adjacent to the equal angles, the other sides of the two triangles shall be equal, each to each, and the third angle of the one, equal to the third angle of the other. The proposition may be deduced from Art. 97. by means of Art. 78 : or it may be demonstrated, ex absurdo,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...sides adjacent to the equal angles, or the sides opposite to the 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. A Let ABC, DEF be two triangles which have the angles ABC, BCA equal...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...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 also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal...
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The Moral Class Book, Or The Law of Morals: Derived from the Created ...

William Sullivan - Ethics - 1833 - 380 pages
...the sides adjacent to the equal angles, or the sides opposite to the 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. But to prove that such equality exists, a process of reasoning must...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...to the equal angles, or the sides opposite to the equal angles in each ; then shall the other side be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, ECA equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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 also the third angle of the one to the third angle of the other. Let ABC,DEF be two triangles which have theangles ABC, BC A equal...
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