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" If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. "
Elements of Geometry and Conic Sections - Page 30
by Elias Loomis - 1857 - 226 pages
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...QEJ?. PROPOSITION 32. THEOREM. If a, side of any triangle lie produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle ar^ together equal to two right angles. Let ABC be a triangle, and-Jet oneof its sides BC be produced...
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Memoir of Frank Russell Firth

Frank Russell Firth - 1880 - 536 pages
...base, It bisects the vertical angle. And is perpendicular to the base. 1 5 6 I., XXV., Cor. 6.. IV XX If one side of a triangle is produced, The exterior angle is equal t,ˇ the sum of the two interior and opposite angles. If two triangles are mutually equiangular, They...
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(Report).

Elizabethan club - 1880
...Show how to do this practically with a ruler and a pair of compasses. 3. If a side of a triangle be produced the exterior angle is equal to the sum of the two interior angles, and the three interior angles of every triangle are together equal to two right angles. Enunciate...
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Works, Volume 3

Herbert Spencer - 1881
...one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced...
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Guide to preliminary army examination

John Gibson - 1881
...third angle of the other. 4. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 5. Describe a parallelogram that shall be equal to a given triangle...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 pages
...operations, such as - , +, x .] 1. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of ev«*y triangle are together equal to two right angles. The base angle of an isosceles triangle is...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884
...and the same straight line. 3. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of any triangle are together equal to two right angles. 4. If the straight lines bisecting the angles...
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The Competitor, Volumes 3-4

1883
...drawn across makes with the two parallel straight lines. 4. Prove that, if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles, and that the three angles of every triangle are together equal to two right angles. The angles ABC, -AC...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882
...operation are not admissible.] 1. If a side of any triangle be produced, the exterior ancle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. In a right-angled triangle, the angle contained by the line bisecting...
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Class lessons on Euclid

Marianne Nops - 1882
...PROPOSITION XXXII., THEOREM 22. If a side of any triangle "be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a A, and let one of its sides BC be produced toD. (1)...
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