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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 ... - Side 21
av Euclides - 1863
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...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
...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
...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
...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
...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 - 1879 - 36 sider
...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
...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
...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
...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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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 sider
...GEOMETRY. 1. Define an angle, a triangle, an obtuse angle, an acute-angled triangle, a parallel-- ogram. 2. If two angles of a triangle be equal to one another, the sides also which subtend the equal angles shall be equal to one another. 3. The greater side of a triangle is opposite the greater...
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