Books Books 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. Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 105
by Euclides - 1858 ## The School World: A Monthly Magazine of Educational Work and Progress, Volume 4

Education - 1902 - 678 pages
...shall be less than the other two sides of the triangle, but shall contain a greater angle. (4) If 'he side of any triangle be produced, the exterior angle...and opposite angles ; and the three interior angles are together equal to two right angles. (5) Show how to describe a parallelogram which shall be equal... ## Manual

1903 - 898 pages
...prove that the twostraight lines are parallel. 6. If a side of any triangle be produced, pi-ove that the exterior angle is equal to the two interior and opposite angles, and that the three interior angles of the triangle are equal to two light angles. 7. Draw any triangle... ## The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1906 - 788 pages
...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... ## Transactions, Volume 31

Institution of Civil Engineers of Ireland - Civil engineering - 1906 - 336 pages
...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... ## Annual Report - Dept. of Education

Saskatchewan. Department of Education - Education - 1906 - 188 pages
...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)... ## Calendar, Part 3

University of Calcutta - 1907 - 446 pages
...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... ## Annual Report of the Association of Ontario Land Surveyors, Issue 22

Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...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... ## Introduction and books 1,2

Euclid - Mathematics, Greek - 1908 - 550 pages
...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... ## Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1909 - 560 pages
...each to each, and also the third angle of the one equal to the third angle of the other. (Prop. 26.) If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. (Prop. 32.) Triangles on the same base and between the same parallels are... 