| 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.... | |
| 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... | |
| Thomas Fowler - Logic - 1895 - 620 pages
...Generic Property. It is, for instance, a property of all rectilineal figures that the sum of their angles **is equal to twice as many right angles as the figure has** * F sides, minus four right angles. Thus the angles of a plane triangle are together equal to two right... | |
| George D. Pettee - Geometry, Plane - 1896 - 272 pages
...3 [alt. int. A (||s)] POLYGONS PROPOSITION XXX 43 111. Theorem. 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.** Appl. Cons. Dem. i> Prove A + B + C, etc. = (2 n — 4) rt. Draw diagonals from one vertex. Let 7'... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...sides in more than two points. PROPOSITION XVI. THEOREM 66. The sum of all the angles of any polygon is **twice as many right angles as the figure has sides, less four right angles.** GIVEN ABCDE, any polygon, having n sides. To PROVE—the sum of its angles is 2« — 4 right angles.... | |
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