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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. "
The Element of Geometry - Page 13
by John Playfair - 1836 - 114 pages
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...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...angles of every triangle are equal to two right angles. 7. Describe a square that shall be equal to a given parallelogram or to a given triangle. 8. From a...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 350 pages
...method of proof must be geometrical. Great importance 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. Through the vertices of a triangle ABC straight lines, falling within the triangle, are drawn making...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...same straight line are parallel to one another. 18. If a side of any triangle B c be produced to D, the exterior angle is equal to the two interior and opposite angles, and the IS three interior angles of every triangle are together equal to two right angles. 19. The exterior...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...congruent (I. 8), and have sides AE, DE parallel respectively to BC, AH (I. 27). PROPOSITION 32. THEOREM. If a side of any triangle be produced, the exterior...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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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 pages
...method of proof must be geometrical. Great importance will be attached to accuracy^ 1. If a side of a triangle be produced, the exterior angle is equal...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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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...Hence every equilateral triangle is also equiangular, and vice versa. 62. THEOE. 5. If oue side of a triangle be produced, the exterior angle is equal...the two interior and opposite angles ; and the three angles of every triangle are together equal to two right angles (Euc. I. 32). Hence the angles of an...
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Rider Papers on Euclid (books I. and II.)

Euclid's Elements - 1891 - 102 pages
...one another. 31. To draw a straight line through a given point parallel to a given straight line. 32. If a side of any triangle be produced, the exterior...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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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1892 - 776 pages
...therefore also the angles CBA, BAC, ACB, are together equal to two right angles. "Therefore if aside of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles. QED" Thus in each step by which the special conclusion IB reached, as well as in the step taken from...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...DEPARTMENT (YALE COLLEGE) GEOMETRY JUNE 1886. (Four out of five questions are required.) 1. If a side,of any triangle be produced, the exterior angle is equal...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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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...DEPARTMENT (YALE COLLEGE) GEOMETRY JUNE 1886. (Four out of five questions are required.) 1. If a side oí any triangle be produced, the exterior angle is equal...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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