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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, namely, either t}le sides adjacent to the equal... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 24
av Euclides - 1837 - 88 sider
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 sider
...angle BAC is greater than the angle EDF. PROP. XXVI. THfcOR. If two triangles have two angles of the one equal to two angles of the other each to each...one side equal to one side, viz. either the sides nil jar, fat . to thi equal angles, or the sides opposite to the equal angles in each ; then shall...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...equal to the right angle FKC; therefore in the two triangles FHO, FKC, there are two angles of the one equal to two angles of the other, each to each; and the side FC, which is opposite to one of the equal angles in each, is common to both ; therefore their...
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The Edinburgh university calendar

Edinburgh univ - 1868
...of ^355, 15s. for four years, at 4 per cent. per annum. 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 (viz. , the sides adjacent to the equal angles) ; then shall the other sides be equal, each to each ; and...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1868 - 262 sider
...symmetrically 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 |_^ = LA LB =[_•#,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...angle AEG is equal to the angle BEH: (I. 15.) therefore the triangles AEG, BEHhwe 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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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...of the mode in which you would keep a field in levelling for sections. EUCLID. I. Specimen Paper. 1. If two triangles have two angles of one equal to two...each to each, and one side equal to one side, viz., the side adjacent to the equal angles in each ; then shall the other sides be equal, each to each,...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 sider
...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 inclu ded between the equal angles, common ; hence the triangles are equal (Prop. VII.)...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...opposite to that side is called the Vertex of the triangle. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each also equal; then must the triangles be equal in all...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...called the Vertex of the triangle. PKOPOSITION B. THEOREM. If two triangles have ttco angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles in each also equal; then must the triangles be equal in all...
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The Madras University Calendar

University of Madras - 1873
...given point is ? Could it not be taken on the same side ? III. 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, the sides which are opposite to equal angles in each, prove that the other sides shall be equal,...
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