| Edward Atkins - 1876 - 119 Seiten
...F, which is the common vertex of all the triangles, arc equal to four right angles (I. 15, Cor. 2) ; **Therefore all the angles of the figure, together with four right angles,** arc equal to twice as many right angles as the figure has sides. COROLLARY 2. — All the exterior... | |
| Samuel H. Winter - 1877 - 413 Seiten
...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 Seiten
...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
...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
...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
...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
...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
...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
...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 - 70 Seiten
...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... | |
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