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" If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Page 21
by Euclides - 1863
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

1877 - 678 pages
...3) written 2"~1[ -• --- i - -! \ 1.2.3. ..(я-l) EUCLID. Tuesday, 13th June 1876. 2 PM to 5 PM 1. If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another. 2. Equal triangles upon equal bases, ¡n the same straight line, and towards the same parts, are between...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...shown. COROLLARY. — Hence every equilateral triangle is also equiangular. Proposition 6. — Theorem. If two angles of a triangle be equal to one another,...sides also which subtend, or are opposite to, the eq^utl angle*, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to the...
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The College calendar. [Continued as] The College calendar for the United ...

Scotland free church - 134 pages
...rectilineal angle equal to a given rectilineal angle. 1. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to the equal angles, shall be equal to one another. Or—Any two angles of a triangle are together less than two right angles. 3. If a straight line be...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...is also equilateral. PROPOSITION VI. THEOREM. [The following is Euclid's proof of this proposition.! If two angles of a triangle be equal to one another, the sides also which subtend (that is, are opposite to) the equal angles shall be equal to one another. Let AEC be a triangle, having...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...base ot an isosceles triangle at right angles shall pass through the vertex. PROPOSITION VI. THEOREM. If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another. Let ABC be A in which £ ABC = L ACB. Then shall AB = AC. A Constr. For, if AB be not equal to AC,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...etc. QED COROLLARY. Hence every equilateral triangle is also equiangular. Proposition VI. Theorem. If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to the angle AC B. Then the side AB shall be equal...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...that every equilateral triangle is equiangular. 6. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to, the equal angles shall be equal to one another. What name is given to a triangle which has two sides equal ? Same proposition. What property of equiangular...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...squares decribed on the sides which contain the right angle Christmas 1874. MALE CANDIDATES. EUCLID. 1. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to one another. What proposition...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...second overtakes first (1j x 7) 1oj miles from starting point Scholarship Examination 1874. EUCLID. I. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to one another. What proposition...
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Papers for teachers

1880 - 594 pages
...Notes of a Lesson on "The Tropics." Euclid. — i. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. What is the converse of this proposition ? 2. Any three sides of a quadrilateral are together greater...
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