 | University of Oxford - Education, Higher - 1863 - 316 pages
...and the acute angle. 4. 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. 5. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to... | |
 | Euclides - 1863 - 122 pages
...it has been proved by tho foregoing corollary, that all the interior angles together with four right angles are equal to twice as many right angles as the figure has sides. Thereforo all the interior angles together with all the exterior angles are equal (Ax. 1) to... | |
 | Euclides - 1864 - 448 pages
...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 right angles as the figure has sides. COR. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
 | Robert Potts - 1865 - 528 pages
...equal to two right angles, (i. 13.) therefore all the interior angles, together with all the exterior angles, are equal to twice as many right angles as the figure has sides ; but it has been proved by the foregoing corollary, that all the interior angles together with... | |
 | William Harris Johnston - 1865 - 478 pages
...is demonstrated that, <> 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." Hence, the sum of all the angles of a rectilinear figure will be found by taking twice as many... | |
 | Euclides - 1865 - 402 pages
...four right angles, (i. 15, cor. 2) therefore all the angles of the figure, together tcith four right angles, are equal to twice as many right angles as the figure has sides. Cor. 2. Ml the exterior angles of any rectilineal figure are together equal to four right angles.... | |
 | Euclides - 1865 - 80 pages
...figure has sides wanting four right angles. Let ABODE be any given rectilineal figure, all its interior angles are equal to twice as many right angles as the figure has sides wanting four right angles. From F, a point within the figure, draw the straight lines AF, BF,... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
...and B ABC + BAC + ACB = two right angles. (32.1.) 76. The interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides, diminished by four right angles. The interior angles of a quadrilateral are therefore equal... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...sides. But, by 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... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...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... | |
| |
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. 
