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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. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 95
by Euclides - 1870
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...КРУ: Therefore in the two triangles BCK, EFN, there are two angles in one equal to two angles in the other, each to each, and one side equal to one side adjacent to the equal angles in each, viz. BC equal to EF ; the other sides, therefore, are equal to...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...angle MDE : therefore in the two triangles HAB, MDE there are two angles in one equal to two angles in the other, each to each, and one side equal to one side, opposite to One of the equal angles in each, viz. HA equal to DM; therefore the remaining sides * 26....
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
....XXVI. THEOR. IF two triangles have two angles of one equal to two angles of the other, each to eacli ; 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 ;...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...another. Cor. 2. (Eue. i. 2G, second part of.) Hence, 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, the equal skies being opposite to equal angles in each, the two triangles shall be equal in every respect...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...Wherefore, if two triangles, &c. QED 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 side adjacent to the equal angles, or the sides opposite to the equal angles in each ; then shall the...
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The Moral Class Book, Or The Law of Morals: Derived from the Created ...

William Sullivan - Ethics - 1833 - 380 pages
...example, but not a self-evident one, that if one draw two triangles, having two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either of the sides adjacent to the equal angles, or the sides opposite to the equal angles in each; then...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...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 also the third angle of the one, to Ike third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC, BCA equal to...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...another. Cor. 1. (Eue. i. 26, second part of.) Hence, 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, the equal sides being opposite to equal angles in each, the two triangles shall be equal in every respect...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...EFN: Therefore in the two triangles BCK, EFN, there are two angles in the one equal to two angles in the other, each to each, and one side equal to one side adjacent to the equal angles in each, viz. BC equal to EF ; the other sides, therefore, are equal to...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...angle contained by the sides of the other. XXVI. If two triangles have two angles of the one equal to two angles of the other, each to each ; and 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 be equal, each to each...
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