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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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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...sum of the other two. 5. From a point within a straight line, only one perpendicular can be drawn. 6. If one side of a triangle is produced, the exterior angle is equal to the Bum of the two interior and opposite angles ; and the three interior angles of every triangle are equal...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...which have their sides that are terminated at each extremity of the base equal to one another. 2. If a side of a triangle is produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two...
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The Irish Law Times and Solicitors' Journal, Volume 24

Law - 1890 - 958 pages
...the other end equal. 2. Prove that in any triangle, any exterior angle made by producing a side, is equal to the sum of the two interior and opposite angles ; and the three interior angles •re together equal to two right angles. 3. Construct a parallelogram equal t and having an angle...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...will be attached to accuracy^ 1. If a side of a 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. Prove the corollary with regard to the interior angles of any rectilineal...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...27). PROPOSITION 32. THEOREM. 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 having one side BC produced to D ; then ext. L...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...to a given straight line. 32. 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. 33. The straight lines which join the extremities of two equal...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...angles of any triangle is equal to two right angles. Corollary. If one side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. PROPOSITION XXVII. The sum of all the angles of any convex polygon is equal to twice...
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Examinations Papers

1895 - 800 pages
...exceptional cases that the triangles are not necessarily equal in all respects. 2. Prove that if any side of a triangle is produced the exterior angle is equal to the two interior angles, and the sum of the three interior angles is two right angles ; and hence show...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pages
...house that it may be equally convenient to each road. 4. (a) Prove that if the side of a triangle be produced, the exterior angle is equal to the sum of the two interior opposite angles, and that the sum of the three interior angles is equal to two right angles. I. 32....
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...five questions are required.) 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 every triangle are together equal to two right angles. 2. (Problem) To describe a square on a given straight line. (Show...
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