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" ... twice as many right angles as the figure has sides ; therefore all the angles of the figure together with four right angles, are equal to twice as many right angles as the figure has sides. "
The Elements of Euclid, containing the first six books, with a selection of ... - Side 32
av Euclides - 1874
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A School Geometry, Deler 1-4

Henry Sinclair Hall - 1908 - 286 sider
...parallel to the base. -ve* f1 — 44 GEOMETRY. COROLLARY 1. ^M <Ae interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides. Let ABCDE be a rectilineal figure of & sides. It is required to prove that all the interior angles...
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Books 10-13 and appendix

Euclid - 1908 - 576 sider
...course be arranged so as not to assume the proposition that the interior angles of a convex polygon together with four right angles are equal to twice as many right angles as the figure has sides. Let there be any convex polyhedral angle with V as vertex, and let it be cut by any plane meeting its...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 sider
...angles ; and in any convex polygon the sum of the interior angles, together with four right angles, is equal to twice as many right angles as the figure has sides (Euc. I. 32, Cor.) 110 Congruence. CI — If two triangles have two sides and the included angle in...
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Introduction and books 1,2

Euclid - 1908 - 550 sider
...somewhat simpler than, Simson's. 1. The sum of the interior angles of a convex rectilineal figure is equal to twice as many right angles as the figure has sides, less four. For let one angular point A be joined to all the other angular points with which it is not...
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Practical Calculations for Engineers: For the Use of Engineering Students ...

Charles E. Larard, Henry A. Golding - 1909 - 556 sider
...angles. = 180' (fig. 2). FIG. 1. FIG. 2. The sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, less 4. Thus, for example, in the irregular pentagon (fig. 3), = 2 x 5 x 90° - 4 x 90° ; FIG. 3....
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College Entrance Examination Papers in Plane Geometry

1911 - 192 sider
...whose altitude is 3 inches. SEPTEMBER, 1909 1. The sum of all the interior angles of any polygon is equal to twice as many right angles as the figure has sides, less four right angles. 2. The angle between two chords which intersect within a circle is measured...
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Annual Report of the Department of Education of ..., Volum 4,Del 1911;Volum 6

Alberta. Department of Education - 1912 - 244 sider
...straight lines shall be parallel. 28—1. 6 8. Prove that all the interior angles of any rectilineal figure together with four right angles are equal to...twice as many right angles as the figure has sides. 8 9. (a) If a straight line be bisected and produced to any point, the rectangle contained by the whole...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 sider
...acute angle, then AD will be greater than half BC. 2. Prove that the interior angles of any rectilinear figure together with four right angles are equal to...twice as many right angles as the figure has sides. Find the number of sides of a regular polygon, each angle of which is equal to the sum of an angle...
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Special Reports on Educational Subjects, Volumer 26-27

Great Britain. Board of Education - 1912 - 1044 sider
...acute angle, then AD will be greater than half BC. 2. Prove that the interior angles of any rectilinear figure together with four right angles are equal to...twice as many right angles as the figure has sides. Find the number of sides of a regular polygon, each angle of which is equal to the sum of an angle...
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Surveying and Building Construction for Agricultural Students, Land Agents ...

Alfred Hubert Haines, A. F. Hood Daniel - 1915 - 360 sider
...fulfilled :— 1. All the interior deduced or observed angles together with four right angles must be equal to twice as many right angles as the figure has sides. 2. The northings must equal the southings. 3. The eastings must equal the westings. In ordinary traverse...
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