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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 equal to two right angles. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 52
by Euclides - 1871
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 456 pages
...three interior angles of a triangle are together equal to two right angles. A Let ABC be a triangle, and let one of its sides BC be produced to D. Then (i) the exterior angle ACD shall be equal to the sum of the two interior opposite angles CAB, ABC ;...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1906
...foregoing theorem is inconveniently long. We shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle...every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced to D ; then the exterior angle ACD...
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Transactions, Volume 31

Institution of Civil Engineers of Ireland - Civil engineering - 1906
...abbreviations may be used, but the method of proof must be geometrical.] 1. If a side of a triangle is produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. If the side BC of a triangle ABC is produced both ways, and the bisectors of the exterior angles so...
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - Education - 1906
...line and surface. Illustrate by reference to a cube. 2. (a) If a side of any triangle be produced, (1) the exterior angle is equal to the two interior and opposite angles; and (2) the three interior angles of the triangle are together equal to two right angles. — I. 32. (6)...
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Calendar, Part 3

University of Calcutta - 1907
...figures in the margin indicate full marks. 1. If u side of any triangle be produced, the exterior anirlo is equal to the two interior and opposite angles ;...three interior angles of every triangle are together eqnal to two right angles. The bisectors of the exterior angles of any quadrilateral form a qnadrilateral...
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Annual Report of the Association of Ontario Land Surveyors, Issue 22

Association of Ontario Land Surveyors - Surveying - 1907
...to a given rectilineal figure and having an angle equal to a given rectilineal angle. 3. Prove that the three interior angles of every triangle are together equal to two right angles. 4. Inscribe an equilateral triangle in a given circle; trisect a right angle. 5. To divide a given...
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Introduction and books 1,2

Euclid - Mathematics, Greek - 1908
...assumption of the uniqueness of the parallel. PROPOSITION 32. In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles. Let ABC be a triangle, and let one side of it BC be produced...
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Principles of psychology

Herbert Spencer - Philosophy - 1910
...foregoing theorem is inconveniently long. We shall find a titter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle...every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced to D; then the exterior angle ACD...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 339 pages
...is equal to two right angles. Euclid stated this as follows : " In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles." This states more than is necessary for the basal fact...
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The New Age Magazine, Volume 19

Freemasonry - 1913
...Forty-seventh Problem, there are several other equally important problems ascribed to him. Among these are: the interior angles of every triangle are together equal to two right angles; that the only polygons which fill up the whole space about a given point are the equilateral triangle,...
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