| Euclid - Mathematics, Greek - 1908 - 576 pages
...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... | |
| Euclid - Mathematics, Greek - 1908 - 550 pages
...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... | |
| Walter Percy Workman - Geometry - 1908 - 228 pages
...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... | |
| Charles E. Larard, Henry A. Golding - Engineering - 1909 - 556 pages
...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.... | |
| Geometry, Plane - 1911 - 192 pages
...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... | |
| Great Britain. Board of Education - Education - 1912 - 1044 pages
...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... | |
| Alberta. Department of Education - Education - 1912 - 244 pages
...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... | |
| Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...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... | |
| William Charles Popplewell - Geodesy - 1915 - 268 pages
...Stated precisely, " the sum of all the internal angles of a closed polygon plus four right angles is **equal to twice as many right angles as the figure has sides."** So that it is easy from the field notes to find the internal angle at each corner of the figure, and... | |
| Alfred Hubert Haines, A. F. Hood Daniel - Building - 1915 - 360 pages
...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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