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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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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1302 pages
...of the given what figure will the two triangles forra f 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 sides which are...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...and the four definitions concerning segments of circles. 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 in each; then shall the other...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...angle may be found by subtracting this sum from two right angles. 73. COROLLARY III. If two triangles have two angles of one equal to two angles of the other, the third angles are also equal. 75. COROLLARY V. The sum of the acute angles of a right triangle is...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...geometrical. Great importance will be attached to accuracy.] 1. 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., sides which are opposite to equal angles in each ; then shall the...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...Proposition is it an immediate inference ? PROPOSITION 26. 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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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...must be on D. Proposition 26. (Second Part.) THEOREM — If tivo triangles have two angles of tlie one equal to two angles of the other, each to each, and have likewise the sides equal which are opposite one pair of equal angles ; then the triangles are...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 506 pages
...line of unlimited length, from a given point without it. 5. If two triangles have two angles of the one equal to two angles of the other, each to each, and the side adjacent to the equal angles of the one equal to the side adjacent to the angles of the other...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...respectively ; prove that DA=EB=FC. Proposition 26. PART I. 54. If two triangles have two angles of the one equal to two angles of the other, each to each, and also the sides adjacent to the equal angles equal, the two triangles are equal in all respects. Let...
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A Key to the Exercises and Examples Contained in a Text-book of Euclid's ...

Henry Sinclair Hall, Frederick Haller Stevens - Geometry - 1892 - 286 pages
...4. For ^ADB = ^AFD [in. 32]. And since AD = AF (radii), .'. L ADF = AFD. Hence the two A8 ABD, ADF have two angles of one equal to two angles of the other, and the side AD common, .'. BD = OF. 5. For these two circles circumscribe A8 which have equal bases...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...hits 1 00 and misses of each. GEOMETRY. Time, 2 hrs. 13 1. (a) 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, those sides being opposite equal angles in each, then must triangles be...
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