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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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 páginas
...demonstration of the following propositions. PROP. 26.— THEOR. — (Important.) If two triangles have two angles of the one equal to two angles of...viz., either the sides adjacent to the equal angles in each, or the sides opposite to them, then shall the other sides be equal, each to each, and also...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 páginas
...is parallel to CD, the alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the one equal to two angles of the other, each to each, and the side Eli included between the equal angles, common ; hence the triangles are equal (Prop. VII.)...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volumen1

Euclides - 1868 - 88 páginas
...Hyp. Cone. Sap. HP 24. HypConol. D. 5. 9. Concl. Recap. PROP. XXVI. THEOR. If tu-o triangles have t\co angles of the one equal to two angles of the other, each to and one side equal to one side, viz., either the sides adjacent to the equal angles in each, or the...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 422 páginas
...angle in each, contained by proportional sides, are similar to each other. Any two triangles having two angles of the one equal to two angles of the other, are similar triangles, because the three angles of the one triangle are equal to the three angles of...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 páginas
...of it, either arc two right angles, or are together equal to two right angles. 2. If two triangles have two angles of the one equal to two angles of...other, each to each ; and one side equal to one side, namely, either the sides adjacent to the equal angles, or the sides which are opposite to equal angles...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 334 páginas
...EDF. PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the othtr, each to each; and one side equal to one side, viz....adjacent 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...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 páginas
...less than the other two sides of the triangle, but shall contain a greater angle. 5. If two triangles have two angles of the one equal to two angles of...other, each to each, and one side equal to one side, namely, the sides adjacent to equal angles in each triangle ; then shall the other sides be equal,...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 470 páginas
...the |_'s PFB and PEC, we have the remaining [_'s, AFC and AEB, equal. Hence, the A's, AFC and AEB, have two angles of the one equal to two angles of the other, each to each, and the included sides equal; the remaining sides and angles are therefore equal, (Cor., Prop. 9). Therefore,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 páginas
...right angle BED is equal to the right angle B FD ; (ax. 1 1 . ) therefore the two triangles EBD, FBD have two angles of the one equal to two angles of the other, each to each ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore their...
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The Eclectic School Geometry

Evan Wilhelm Evans - 1884 - 242 páginas
...angles A and B by AF and BF, and the angles a and 6 by af and bf. Now, since the triangles ABF, abf, have two angles of the one equal to two angles of the other, they are similar (Cor., Theo. IX) ; hence, ABF : abf= AB2 : o&2 (Theo. XIV). Multiplying first couplet...
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