 | Euclides - 1821 - 294 σελίδες
...angle. Cor. 6 AH the internal angles of any rectilineal figure together with four right angles are = to twice as many right angles as the figure has sides. For if yon assume any. point within the given figure and draw lines from each of the angles to it, the... | |
 | Euclid - 1822 - 222 σελίδες
...therefore equal to B AE and EAC. Cor. 6. All the internal angles of any rectilineal figure, ABCDE, together with four right angles, are equal to twice as many right angles as the figure has sides. Take any point F within the figure and draw the right lines FA, FB, FC, FD, and FE. There are formed... | |
 | Rev. John Allen - 1822 - 508 σελίδες
...as many right angles, except four, as the figure has sides ; and all tbe angles of these triangles are equal to twice as many right angles as the figure has sides (32. 1 /CM.), therefore the angles of these triangles which are at their common vertex A, being those... | |
 | Charles Hutton - 1822 - 616 σελίδες
...triangles, is equal to two right angles (th. 17) ; therefore the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles about the point p, which are so / many of the angles of the triangles,... | |
 | Rev. John Allen - 1822 - 516 σελίδες
...two right angles [13. 1} ; therefore all the exterior and interior angles of the figure are together equal to twice as many right angles as the figure has sides ; but the interior angles are equal to twice as many right angles, except four, as the figure has sides... | |
 | Edward Riddle - 1824 - 572 σελίδες
...twice as many right angles as the figure has sides ; or the interior angles of the figure, themselves, are equal to twice as many right angles as the figure has sides, wanting four right angles. QED Cor. 1. All the interior angles of any quadrilateral figure are together... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...right angles as the figure has sides, wanting lour right angles. For any reetilineal figure ABCDE ean be divided into as many triangles as the figure has sides, by drawing straight lines trooi a point F within the figure to eaeh of its angles. And, by the preeeding proposition, all the... | |
 | George Lees - 1826 - 276 σελίδες
...to all the angles of the figure, together with four right angles ; that is, the angles of the figure are equal to twice as many right angles, as the figure has sides wanting four. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side... | |
 | Robert Simson - 1827 - 546 σελίδες
...that is * together with four right angles. There1s, 1. fore 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 are together equal to four right angles.... | |
 | John Radford Young - 1827 - 246 σελίδες
...in each triangle amounts to two right angles, therefore the angles of all the triangles are together equal to twice as many right angles as the figure has sides, that is to say, the sum of the angles of the polygon, together with those about the point within it,... | |
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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. 
