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Bøker Bok 141150 av 164If a side of any triangle be produced, the exterior angle is equal to the two interior...
" 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: Containing the First Six Books of Euclid : with a ... - Side 41
av John Playfair - 1832 - 333 sider
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Transactions, Volum 31

Institution of Civil Engineers of Ireland - 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...and the three interior angles of every triangle are together equal to two right angles. If the side BC of a triangle ABC is produced both ways, and the...
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Annual Report of the Saskatchewan Department of Education

Saskatchewan. Dept. of 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, Del 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 ;...and the three interior angles of every triangle are together eqnal to two right angles. The bisectors of the exterior angles of any quadrilateral form...
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Introduction and books 1,2

Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 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 - 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 is...and the three interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced...
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The Teaching of Geometry

David Eugene Smith - 1911 - 339 sider
...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 Foundations of Geometry and the Non-Euclidean Plane

G.E. Martin - 1997 - 512 sider
...to draw a straight line parallel to a given straight line. 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. 33. The straight lines joining equal and parallel straight...
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Mathematics and the Image of Reason

Mary Tiles - 1991 - 188 sider
...have been Aristotle's favourite example (Euclid 1926 pp. 320-1). 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. Figure 1 O BCD Construction Let ABC be a triangle and let...
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A Commentary on the First Book of Euclid's Elements

Proclus - 1992 - 355 sider
...theorems, in that our geometer himself does so later in the case of equal angles: "In any triangle the exterior angle is equal to the two interior and opposite angles, and the three angles of a triangle are equal to two right angles."136 So here they think it appropriate in a similar...
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 298 sider
...claim in the subsequent chapters of this book. 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. Proposition 47. In right-angled triangles the square on...
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