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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 First Six Books: Together with the Eleventh and Twelfth - Page 200
by Euclid - 1781 - 520 pages
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...unequal, prove (ab + ac + bc)(a + b+c) greater than Qabc. 9. 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 side opposite to one of the equal angles in each, then shall...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1866
...circle, a riyhl angle, a rhomboid, the angle in a segment. 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., either the side which is adjacent to the equal angles in each, or...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...Wherefore, if two triangles, &c. QED PROP. 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 side adjacent to the equal angles in each, or the side...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866
...Admiralty who selected Euclid as a subject of examination. Time allowed, Three hours. 1. 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, viz. the' side adjacent to the equal angles in each ; then shall the other...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...Wherefore, if two triangles &c. QED PROPOSITION. 20. 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, namely, either the sides adjacent to the equal angles, or sides which are...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 262 pages
...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 =[_•#, and...
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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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...C is greater than the angle EDF. PROPOSITION XXVI. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and one tide equal to one side, viz, either the sides adja cent to the equal angles in each, or the sides...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 178 pages
...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 angles of the other, each to each, and one side equal to one side, viz., the side adjacent to the equal angles in each ; then shall the other...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 58 pages
...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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