 | George Albert Wentworth - Geometry - 1884 - 422 pages
...Decagon ; one of twelve sides is a Dodecagon. GEOMETRY. BOOK I. PROPOSITION XLVI. THEOREM. 157. The sum of the interior angles of a polygon is equal to two riff At angles, taken as many times ¡ess two as the figure has sides. ED AB Let the figure A BCD EF... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...polygon lias sides. Let ABCDE be any polygon ; then the sum of its interior angles A, B, C, D, and E, is equal to two right angles taken as many times, less two, as the polygon has sides. From the vertex of any angle A, draw diagonals AC, AD. The polygon will be divided... | |
 | George Albert Wentworth - Geometry - 1885 - 424 pages
...ten sides is a Decagon ; one of twelve sides is a Dodecagon. / PROPOSITION XLVI. THEOREM. 157. The sum of the interior angles of a polygon is equal to two right anglespdaken as many times less two as the figure has sides. 7\ AB Let the figure ABCDEF be a polygon... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...to the other so as to coincide. * Called also a re entrant angle, Proposition 36. Theorem. 147. The sum of the interior angles of a polygon is equal to...two right angles taken as many times less two as the polygon has nides. FE Hyp. Let ABCDEF be a polygon having n sides. To prove ZA+ZB+ZC+ etc. = 2 rt.... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...polygon lines be drawn to the vertices, into how many triangles will it be thus divided ? 329. The sum of the interior angles of a polygon is equal to...right angles, taken as many times, less two, as the polygon has sides ; or twice as many right angles as the polygon has sides, less four right angles.... | |
 | Oregon. Office of Superintendent of Public Instruction - Education - 1893 - 268 pages
...contains 100 square feet and the length of one diagonal is 10 feet. Find the length of the other. 7. The sum of the interior angles of a polygon is equal to...as many times, less two, as the figure has sides. 8. To circumscribe a circle about a given triangle. 9. The area of a circle is equal to one-half the... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...and 4 feet respectively ; what are the numeric limits of the sum of the diagonals? 6 Prove that the sum of the interior angles of a polygon is equal to...taken as many times less two as the figure has sides. 7 A regular polygon has 1 1 sides ; what is the sum of four of its interior angles? 8 From a point... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...the angles of any triangle is equal to two right angles.] (§82.) Hence, ihe sum of the angles of the polygon is equal to two right angles taken as many times, less two, as the polygon has sides. 127. COR. I. The sum of the angles of any polygon is equal to twice as many right... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...so as to coincide throughout. PROPOSITION XLVT. THEOREM. 126. The sum of the angles of any poli/gon is equal to two right angles taken as many times, Less two, as the polygon has sides. Any polygon may be divided into triangles by drawing diagonals from one of its vertices... | |
 | John Tilden Prince - Arithmetic - 1894 - 246 pages
...are equal. 7. The sum of the three angles of a triangle is equal to two right angles. The sum of the angles of a polygon is equal to two right angles taken as many times as the figure has sides less two. It is not desirable at this time for the .pupils to spend much time... | |
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The sum of the interior angles of a polygon is equal to two right angles, taken as many times less two as the figure has sides. 
