| Isaac Sharpless - 1879 - 282 σελίδες
...BAC+ABC+ACB. But ACD+ACB = 2R; BAC+ABC+ACB = 2R. Corollary 1.—All the interior angles of a polygon are together equal to' twice as many right angles as the figure has sides, minus four right angles. Let ABODE be a polygon, and let n represent the number of its sides. Draw... | |
| University of Madras - 1879 - 674 σελίδες
...I. 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. II. Prove the proposition to which the following is a corollary : The difference of the squares on... | |
| Michael McDermott - 1879 - 552 σελίδες
...future operations. 213. All the interior angles of any polygon, together with four right angles, are equal to twice as many right angles as the figure has sides. Example. Interior angles A, B, C, D, E, F = n° 4 right angles, 860 Sum = n° + 360° Namber of sides... | |
| Charles Mansford - 1879 - 112 σελίδες
...the other angles that the interior angles of any rectilineal figure together with 4 right angles are equal to twice as many right angles as the figure has sides. (32.) 113. If two angles have their containing sides respectively parallel to one another the lines... | |
| Benjamin Gratz Brown - 1879 - 68 σελίδες
...other words, all 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. Again, parallelograms upon equal bases and with the same altitude are equal. Of all figures bounded... | |
| Joseph Wollman - 1879 - 120 σελίδες
...Corollary 1. — 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. The angles of a regular hexagon + 4 right angles = 12 right angles ; .-. The angles of a regular hexagon... | |
| Moffatt and Paige - 1879 - 474 σελίδες
...together with four right angles. But it has been proved that all the angles of all these triangles are equal to 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... | |
| Euclides - 1879 - 146 σελίδες
...QED Cor. 1. 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. For any figure ABCDE can be divided into as many As as it has sides, by drawing st. lines from a pt.... | |
| William Mitchell Gillespie - 1880 - 540 σελίδες
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. "... | |
| Isaac Todhunter - 1880 - 426 σελίδες
...the foregoing Corollary all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Therefore all the interior angles of the figure, together with all its exterior angles, are equal to... | |
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