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 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. Elements of geometry, containing the first two (third and fourth) books of ... - Page 52
by Euclides - 1871
Full view - About this book ## Using History to Teach Mathematics: An International Perspective

Victor J. Katz - Mathematics - 2000 - 261 pages
...Heath (1861-1940, English) of Heiberg's text: 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. B D FIGURE 2 The figure is a little different from the...
Limited preview - About this book ## The Unfinished Mechanics of Giuseppe Moletti: An Edition and English ...

Giuseppe Moleti, Walter Roy Laird - History - 2000 - 222 pages
...right angle' (Euclid, Elements, 3.31, tr. Heath, 2:61-5). 64 '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' (Euclid, Elements, 1.32, tr. Heath, 1:316-22). 65 'If two...
Limited preview - About this book ## Philosophy and Geometry: Theoretical and Historical Issues

L. Magnani - History - 2001 - 249 pages
...universally valid solution of the problem (Kant, 1929, A716-B744, pp. 578-579)." PROP. XXX11. THEOR. 1f a side of any triangle be produced, the exterior angle is equal to the two interiar and oppasite angles ; and the three interior angles af eDery triangle are equal to two right...
Limited preview - About this book ## Philosophy and Geometry: Theoretical and Historical Issues

L. Magnani - History - 2001 - 256 pages
...A716-B744, pp. 578-579).13 PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle if equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to tico right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the...
Limited preview - About this book ## The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Mathematical Association, Mathematical Association of America - Mathematics - 2003 - 541 pages
...exterior angles on the same side equal to two right angles. Prop. 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. Prop. 38: Triangles which are on equal bases and in the...
Limited preview - About this book ## The Cambridge Companion to Kant and Modern Philosophy

...exhibit their concepts in intuition actually to think them. 27. "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." Euclid, Elements, p. 316. 28. Because of space limitations,...
Limited preview - About this book