| Webster Wells - 1886 - 371 sider
...angles is expressed by 2 R x (n — 2) , or 2 nR — 4 R. That is, the sum of the angles of a polygon is **equal to twice as many right angles as the figure, has sides,** less four right angles. PROPOSITION XLVII. THEOREM. 149. If the sides of a polygon are produced so... | |
| Richard Anthony Proctor - 1887 - 180 sider
...produced to meet, the angles formed by these lines, together with eight right angles, are together **equal to twice as many right angles as the figure has sides.** 139. AP, BP, and CP are the internal bisectors of the angles of the triangle ABC. AP is produced to... | |
| Bennett Hooper Brough - 1888 - 302 sider
...accuracy of the survey, as the interior angles of the polygon together with four right angles should be **equal to twice as many right angles as the figure has sides.** The interior angles of a traverse may be found from the bearings or courses by the following rules... | |
| 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...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 the other,... | |
| John Fry Heather - 1890 - 172 sider
...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...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 sider
...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...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 st.... | |
| Edward Albert Bowser - 1890 - 393 sider
...2 rt. Zs (n — 2) = 2n rt. Zs — 4 rt. Zs. Therefore, the sum of the angles of a polygon is also **equal to twice as many right angles as the figure has sides,** less four right angles. 149. COR. 2. The sum of the angles of a quadrilateral is equal to two right... | |
| James Andrew 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...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 angles. 33.... | |
| Caleb Pamely - 1891 - 578 sider
...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 not the... | |
| James Andrew Blaikie, William Thomson - 1891
...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 angles.** 33. The straight lines which join the ends of two equal and parallel straight lines; towards the same... | |
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