 | Ferdinand Rudolph Hassler - 1828 - 180 Seiten
...angles, as AGD, GDE, and so on, standing in equal segments, are equal to one another; and their sum being equal to twice as many right angles as the figure has sides wanting four: that is, eight right angles, each of these angles of the hexagon is equal eight sixths of one right... | |
 | Euclid, Dionysius Lardner - 1828 - 542 Seiten
...right angles as the figure has sides ; but the internal angles, together with four right angles, are equal to twice as many right angles as the figure has sides (134). Take from both, the internal angles and the external remain equal to four right angles. %* This... | |
 | Thomas Curtis (of Grove house sch, Islington) - 798 Seiten
...u_. 118 119 m.iti) right angles as the figure has sides. Hence (he interior angles of the figure are equal to twice as many right angles as the figure has sides wanting four right angles. Car. I. All the interior angle* of a quadrilateral figure are together equal to four right angles.... | |
 | John Playfair - 1829 - 210 Seiten
...= (2n — 4) xr = (n— 2) x 2r, that is, all the interior angles of any convex rectilineal figure are together equal to twice as many right angles as the figure has sides less two sides. " Es. PROPOSITION M. THEOREM. All the exterior angles of any convex rectilineal figure,... | |
 | Thomas Curtis - 1829 - 814 Seiten
...figure В С DE ; and the interior angles of that figure, together with four right angles, being also equal to twice as many right angles as the figure has sides (Theorem XX.), the angles of the triangles are equal to the interior angles of the plane figure and... | |
 | Pierce Morton - 1830 - 584 Seiten
...many, in number, as the sides of the figure, the angles [IV. § s. of these triangles are (I. 19.) together equal to twice as many right angles as the figure has sides. But the angles of these triangles are those which contain the solid angle at A, together with the pairs... | |
 | Thomas Perronet Thompson - 1833 - 168 Seiten
...equal to twice as many right angles as the figure has sides. But (by Cor. 1 .) all the interior angles are together equal to twice as many right angles as the figure' has sides, diminished by four right angles ; and (by adding four right angles to each), all the interior angles... | |
 | Euclid - 1833 - 216 Seiten
...formed as many triangles as the figure has sides, and therefore all their angles taken together are equal to twice as many right angles as the figure has sides (1): but the angles at the point F are equal to four right angles (2); and therefore the angles of... | |
 | Charles Bonnycastle - 1834 - 678 Seiten
...result usually expressed as the following proposition : "The interior angles of any closed plane figure are together equal to twice as many right angles as the figure has sides, minus four right angles." 206. And as a second application of the principle in question, or, which... | |
 | Euclid - 1835 - 540 Seiten
...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 rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
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Therefore 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. 
