| Thomas Malton - 1774 - 484 pages
...bered amongft the other Theorems. THEO. i. All the internal Angles, of every right lined FiV gure, **are equal to twice as many Right Angles, wanting four, as the Figure has Sides.** , Every right lined Figure, may be refolved into as many Triangles, as the Figure has Sides, wanting... | |
| Isaac Dalby - Mathematics - 1807 - 476 pages
...right angles (41), constitute the interior angles of the polygon, and therefore those angles together **are equal to twice as many right angles, wanting four, as the** po» lyeon has sides. 44. The sum of tf-^-xterior angles (aAG, IEA, &c.) of any polygon, are equal... | |
| John Dougall - 1810 - 732 pages
...thirds of one right angle. Puop. VIII. fig. 91. The sum of all the interior angles of a polygon is **equal to twice as many right angles, wanting four, as the figure has sides.** Let the figure ABCDEF, be a polygon of six sides, that is, a hexagon. From any point within it, as... | |
| Charles Hutton - Mathematics - 1811 - 406 pages
...right angles. THEOREM XIX. IN any figure whatever, the Sum of all the Inward Angles, taken together, is **equal to Twice as many Right Angles, wanting four, as the Figure has Sides.** Let ABCDE be any figure ; then the sum of all its inward angles, A + B + c + D + E, is equal to twice... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...angles. THEOREM XIX. IN any figure whatever, the Sum of all the Inward Arfgles, taken together, is **equal to Twice as many Right Angles, wanting four, as the Figure has Sides.** Let ABCHE be any figure ; then the sum of all its inward angles, A -f- B -f. c + D + E, is equal to... | |
| Charles Butler - 1814 - 582 pages
...thus, since it follows from prop. 32. book 1. of Euclid, that all the interior angles (taken together) **of every rectilineal figure are equal to twice as...right angles, wanting four, as the figure has sides,** the same thing must be true of each particular kind of such figure ; as of squares, triangles, trapeziums,... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...right angles. THEOREM XIX. IN any figure whatever, the Sum of all the Inward Angles, taken together, is **equal to Twice as many Right Angles, •wanting four, as the Figure has Sides.** Let ABCDE be any figure ; then the sum of all its inward angles, A + B + c+ II+E, is equal to twice... | |
| James Mitchell - Mathematics - 1823 - 670 pages
...adjacent sides; as the angles a, 6, c, &c. The sum of all the inward angles of any tight-lined figure, is **equal to twice as many right angles, wanting four, as the figure has sides.** ' An ANGLE at the Centre of a Circle, is that whose angular poim is at the centre. An ANGLE at the... | |
| Anthony Nesbit - Surveying - 1824 - 474 pages
...formed. \ NOTE. The sum of all the interior angles of any polygon, whether regular or irregular, is **equal to twice as many right angles, wanting four, as the figure has sides.** PROBLEM XXVIII. To jind a mean proportionailttween two given lines. Let the given lines be AB = 32,... | |
| John Playfair - Geometry - 1829 - 210 pages
...right angles'. Let ABCDE be any rectilineal figure; all its interior angles A, B, C, D, E, are together **equal to twice as many right angles, wanting four, as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as it has sides, by drawing... | |
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