| E. J. Brooksmith - 1889
...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
...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 - 578 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 - 167 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 - 480 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... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...to BC ; show that AE is equal to AD. (12.) 9. Show 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. A five sided figure has four equal angles, and the fifth angle equals a half of one of the four... | |
| Queensland. Department of Public Instruction - 1897
...the triangles are equal in all respects. 3. Show that all the interior angles of any rectilineal 7 **figure, together with four right angles, are equal to twice as many right angles as the figure has** sides. 4. Parallelograms on equal bases, and between the 18 same parallels, are equal in area. 5. The... | |
| James Howard Gore - 1898 - 210 Seiten
...exterior angles is equal to twice as many right angles as the figure has sides. But by (125) the interior **angles are equal to twice as many right angles as the figure has** sides, less four right angles. Therefore the exterior angles alone are equal to four right angles.... | |
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