 | 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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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. 
