 | William Thomas Brande, George William Cox - 1867 - 1090 sider
...polygons, the first corollary to his prop. 32, book i. (according to which all the interior angles, together with four right angles, are equal to twice as many right angles as the figure hns sides), is also true for concave polygons. His second corollary, however, according to which the... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...Wherefore, if a side of any triangle &c. Q EB COROLLARY 1. All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as thejigure has side.". For any rectilineal figure ABCDE can be divided into as many triangles as the... | |
 | William Thomas Brande, George William Cox - 1867 - 1090 sider
...polygons, the first corollary to his prop. 32, book i. (according to which all the interior angles, together with four right angles, are equal to twice as many right angles as tie figure has sides), is also true for concave polygons. His second corollary, however, according... | |
 | Robert Potts - 1868 - 434 sider
...that the angles of the 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. COB. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
 | E. M. Reynolds - 1868 - 172 sider
...angles are together equal to twice as many right "angles as the figure has sides. , Hence the interior angles are equal to twice as many right angles as the figure has sides, diminished by four right angles. COR. The exterior angle of any regular polygon of n sides is... | |
 | 1870 - 848 sider
...hours a day. Geometry and Mensuration. — 1. Show 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. (12 marks). 2. Enunciate and prove the 32nd proposition of the First Book of Euclid's Elements.... | |
 | Hippolyte Taine - 1871 - 606 sider
...together equal to four right angles ; hence it follows that the polygon contains a number of angles which, together with four right angles, are equal to twice as many right angles as there are sides. — Here the explanatory intermediate is a character comprised in all the elements... | |
 | Elias Loomis - 1871 - 302 sider
...F, that is, together with four right angles (Prop. V., Cor. 2). Therefore the angles of the polygon are equal to twice as many right angles as the figure has sides, wanting four right angles. Cor. 1. The sum of the angles of a quadrilateral is foui right angles... | |
 | Euclid - 1872 - 284 sider
...internal, are equal to twice as many right angles as there are sides of the figure ; but the internal with four right angles, are equal to twice as many right angles as there are sides of the figure (by Cor. 6) ; take away from both the internal angles, and, the external... | |
 | Henry Major - 1873 - 588 sider
...triangles; that is, together with four right angles. Therefore all the angles of the figure, together witb four right angles, are equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two equal and parallel straight... | |
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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. 
