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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Pągina 105
per Robert Simson - 1762 - 466 pągines
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Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 242 pągines
...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.) ; and...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 pągines
...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.) ; and...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pągines
...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 each, or the sides...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pągines
...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, or the sides which...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pągines
...angle FCK is equal to the right angle FCL ; therefore in the two triangles FKC, FLC, there are two angles of 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 the remaining...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 pągines
...the angle AEG is equal to the angle BEH (a) ; therefore the triangles AEG, BEH have two angles of the one, equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another ; wherefore they have their other...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 470 pągines
...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 pągines
...Wherefore, if two triangles, &c. QED PROPOSITION XXVI. THEOREM. 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 each, or the sides...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pągines
...other, then the sides AB, BC shall lie in one straight line. 3. 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 sides adjacent to the equal angles in each triangle ; then shall...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pągines
...sides also which subtend the equal angles shall be equal to one another. 2. If two triangles have two angles of 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, or the sides opposite...
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