| Edward Albert Bowser - Geometry - 1890 - 420 pages
...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... | |
| Euclid - Geometry - 1890 - 442 pages
...of them, if they are equal. 57 THEOREM (3) — The sum of all the interior angles of any polygon and **four right angles, is equal to twice as many right angles as** there are sides to the polygon. Let ABCD &c., be any polygon. Take any pt. O within it ; and join O... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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 st.... | |
| John Fry Heather - Geometry, Modern - 1890 - 252 pages
...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... | |
| Thomas Baker - Railroads - 1891 - 264 pages
...taking the angles or measuring the lines. But since the sum of all the interior angles of a polygon **is equal to twice as many right angles as the figure has sides,** lessened by four right angles, and since the given figure has five sides, the sum of all its five interior... | |
| Caleb Pamely - Coal mines and mining - 1891 - 664 pages
...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 - Geometry - 1891 - 154 pages
...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 angles.... | |
| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...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 angular... | |
| Sidney Luxton Loney - Plane trigonometry - 1893 - 534 pages
...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 to 10#... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...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 ; find... | |
| |