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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. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 94
by Euclid, James Thomson - 1837 - 390 pages
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...it, are either two right angles, or are together equal to two right angles. 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and one si ie equal to one side, via. the sides opposite to equal angles in each, then...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 226 pages
...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...
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 432 pages
...consequently, the two equiangular triangles BA C, CUD, are similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar; for, the third angles are then equal, and the two triangles are equian gular (BI, p. 25,...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 324 pages
...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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...demonstration of the following propositions. PROP. 26.— THEOR. — (Important.) 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 in...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 234 pages
...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...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...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 the other, each to each ; and one side equal to one side, namely, either the sides adjacent to the equal angles,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...and the right angle FCK is equal to the right angle FCL ; therefore, in the two triangles FKC, FLC, there are two angles of the one equal to two angles of the other, each to each ; and the side FC which is adjacent to the equal angles in each, is common to both ; therefore...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...angles GMK and GMN are both right angles by construction; wherefore the triangles GMK and GMN have two angles of the one equal to two angles of the other, and they have also the side GM common ; therefore they are equal, and the side KM is equal to the side...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 453 pages
...absolutely or sym metrically equal. Cor. On the same sphere, or on equal spheres, triangles having two angles of the one equal to two angles of the other, each to each, and the included sides equal, have their remaining sides and angles equal. For, if \_A...
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