| Euclides - 1884 - 182 Seiten
...of these triangles ; and the angles at F are equal to four right angles ; (I. 15, Cor. 2) therefore **the angles of the figure, together with four right angles, are equal to** the angles of all the triangles. But it has been proved that the angles of the triangles are equal... | |
| E. J. Brooksmith - 1889 - 354 Seiten
...perpendicular without producing the given line. 1. Prove 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. There are two regular polygons, the number of sides of one is double the number of sides of... | |
| John Fry Heather - 1890 - 172 Seiten
...one-third of two right angles, or to 60°. 63. THEOE. 6. All the interior angles of any rectilinieal **figure together with four right angles, are equal to twice as many right angles as the figure has** sides (Euc. I. 32. Cor. 1). Hence the angles of a regular polygon are each equal to the quotient obtained... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...CBA, BAC, BCA together=two rt. ^s. [Ax. 1. COROLLARY I.— 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. D For any rectl. figure, ABCDE, can be divided into as many As as the figure has sides by drawing... | |
| James Blaikie, William Thomson - 1891 - 160 Seiten
...angles are together equal to two right angles. Cor. i.— 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. Cor. ii.— All the exterior angles of any rectilineal figure are together equal to four right... | |
| Caleb Pamely - 1891 - 664 Seiten
...tested by Euclid, for, " The sum of all the interior angles of any rectilinear figure, together with 4 **right angles, are equal to twice as many right angles as the figure has** sides." This is not so thorough a test as the plotting, because it checks only the angles taken and... | |
| Euclid, John Bascombe Lock - 1892 - 184 Seiten
...an isosceles triangle. LE 8 118. Corollary 1. All the interior angles of a closed rectilineal figwe **together with four right angles are equal to twice as many right angles as the figure has** sides. Let ABCDE... represent any rectilineal figure. Take a point P within the figure. Join P to each... | |
| Sidney Luxton Loney - 1893 - 534 Seiten
...regular decagon. The corollary to Eue. I. 32 states 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. Let the angle of a decagon contain x right angles, so that all the angles are together equal... | |
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