 Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the sum of the exterior angles.  Elements of Geometry and Trigonometry - Page 43by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...the sum of the angles of all the triangles, that is, the sum of the interior angles of the polygon, is equal to twice as many right angles as the polygon has sides minus two. RATIO AND PROPORTION. DEFINITIONS. (NOTE. It is necessary to understand the elementary principles... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...of a parallelogram bisect each other. 99. Theorem XLIV. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, minus four right angles. 100. Corollary. In an equiangular polygon of n sides, the value , . , . (2n... | |
 | Education - 1904 - 938 pages
...alternate Interior angles are equal. 5. Demonstrate: The sum of the interior angles of any convex polygon is equal to twice as many right angles as the polygon has sides, minus four right angles. 6. Show that the area of a square inscribed in a circle is equal to ane-half... | |
 | Reginald Empson Middleton - Surveying - 1904 - 332 pages
...close polygon, which may be summarised as follows. The sum of the ' interior ' angles augmented by four right angles is equal to twice as many right angles as the figure has sides. The sum of the ' exterior ' angles diminished by four right angles is equal to twice... | |
 | George Clinton Shutts - 1905 - 260 pages
...angles. Let AD represent any convex polygon. To prove that the sum of the interior angles of the polygon is equal to twice as many right angles as the polygon has sides, minus four right angles. Suggestion 1. Connect each vertex with O, any point within the polygon. 2.... | |
 | 1905 - 946 pages
...parallel to the base and half of it. D Papen. 6. The sum of all the interior angles of any polygon and four right angles is equal to twice as many right angles as there are eides to the polygon. 7. Find a point which shall be equally distant from the three angles... | |
 | Mining engineering - 1907 - 578 pages
...are there in the remaining angle? M — ///. ANS. — The sum of the interior angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles. In this case, the figure having four sides, the sum of all the interior angles... | |
 | Walter Percy Workman - Geometry - 1908 - 228 pages
...equal to four right 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... | |
 | Great Britain. Board of Education - Education - 1911 - 678 pages
...angle." In the same way it was shown on the board that the sum of the interior angles of a convex polygon is equal to twice as many right angles as the polygon has sides less two. This theorem was to be repeated at the next lesson ; and the boys were asked to prove as... | |
 | Surveying - 1911 - 338 pages
...close jK,lygon, which may be summarised as follows. The sum of the ' interior' angles augmented by four right angles is equal to twice as many right angles as i 'he figure has sides. The sum of the ' exterior ' angles diminished by four right angles is equal... | |
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