 | Samuel H. Winter - 1877 - 452 sider
...Book, of which the above is a corollary, and 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. Each angle of a regular polygon contains £ of a right angle ; what is the number of sides of... | |
 | Elias Loomis - 1877 - 458 sider
...angles as the figure has sides. Let ABCDE be any polygon ; then all its interior angles A, B, C, D, E, together with four right angles, are equal to twice as many right angles as the figure has sides. £3 O For, from any point, F, within it, draw lines FA, FB, FC, etc., to all the angles. The... | |
 | Edward Atkins - 1877 - 72 sider
...figure, are equal to twice as many right angles as the figure has sides. But all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides (I. 32, Cor. 1) ; Therefore all the interior angles, together with all the exterior angles, are... | |
 | Āryabhaṭa - 1878 - 100 sider
...all the angles of these triangles are equal to twice as many right angles as the figure has sides. Therefore all the angles of the figure together with...equal to twice as many right angles as the figure has sides. Cor. 2. All the exterior angles of any rectilineal Jigure, made by producing the sides successively... | |
 | James Maurice Wilson - 1878 - 450 sider
...angles are equal to twice as many right angles as the figure has sides ; •but all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides; (Th. 26.) therefore all the exterior angles are equal to four right angles*. QED THEOREM 27.... | |
 | Moffatt and Paige - 1879 - 474 sider
...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...equal to twice as many right angles as the figure has sides. COR. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
 | Euclides - 1879 - 146 sider
...1) Therefore, if a side of any triangle, &c. 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... | |
 | University of Madras - 1879 - 674 sider
...1 PM EUCLID ANT) ALGEBBA. F. 8. BTANS, MA, 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... | |
 | Benjamin Gratz Brown - 1879 - 68 sider
...six-sided figure four times as great, or in 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... | |
 | Joseph Wollman - 1879 - 120 sider
...regular hexagon bear to a right angle ? I. 32. 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... | |
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F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 
