 | Edward Atkins - 1874 - 426 pages
...circle, the stun of the angles in the segments exterior to the polygon, together with two right angles, is equal to twice as many right angles as the polygon has aides. SO. Draw the common tangents to two given circles. 21. From a given point draw a straight line... | |
 | John Reynell Morell - 1875 - 220 pages
...line which joins two non-consecutive summits of that polygon. THEOREM XXIX. The sum of the interior angles of a polygon is equal to twice as many right angles as the figure has sides, minus two.* Through one of the summits A of the polygon ABCDEFG, let diagonals be... | |
 | Henry Kiddle, Thomas F. Harrison, Norman Allison Calkins - Teaching - 1875 - 294 pages
...The sum of the three angles of a triangle is equal to two right angles. 7. The sum of the interior angles of a polygon is equal to twice as many right angles as the figure has sides, less four right angles. 8. The sum of the exterior angles of a polygon is equal to... | |
 | William Alexander Willock - Circle - 1875 - 196 pages
...corresponding external is equal to two right angles, the sum of all the internal and all the external is equal to twice as many right angles as the polygon has angles, or sides. If we take from this latter sum the four right angles to which the external angles... | |
 | Jonathan Hyslop - Coal mines and mining - 1876 - 564 pages
...because it is a triangle. If it be a polygon, or many-sided figure, then " the sum of all the interior angles of a polygon is equal to twice as many right angles as the figure has sides, lessened by four right angles." Thus a figure with nine sides will be = (9 X 2) —... | |
 | Edward Olney - Geometry - 1877 - 272 pages
...polygon with at least one re-entrant angle. PROPOSITION XV. 233. TJieorem, — The sum of the interior angles of a polygon is equal to twice as many right...as the polygon has sides, less four right angles. FIo. 187. DEM. — Let n be the, number of sides of any polygon; then the sum of its angles is n times... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...to two angles of the other, the remaining angles must be equal. Cor. 2. The sum of all the interior angles of a polygon is equal to twice as many right angles as the figure has sides, minus four right angles. In the case of the triangle, this corollary has just been... | |
 | George Anthony Hill - Geometry - 1880 - 348 pages
...the sum of all the angles will be twice as many right angles as there are sides less two. Hence, — Theorem. — The sum of the angles of a polygon is equal to twice as many right angles as there are sides less two. Thus the hexagon {Fig. 108) consists of 6 — 2 = 4 triangles ; and the sum... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...therefore, if we add the two equations, we shall have \ \fs V- THEOREM XXIX. 125. The sum of the interior angles of a polygon is equal to twice as many right angles as it has sides minus two. Let ABCDEF be the given polygon ; the sum of all the interior angles A, B,... | |
 | Henry Angel - 1880 - 360 pages
...internal angles of a regular polygon are equal, and if they be added together, their sum will equal twice as many right angles as the polygon has sides, less four (Euclid i. 32). Thus, in a pentagon the sum of the degrees of the internal angles is | (5 x 2) - 4... | |
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The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. 
