| James Blaikie, William Thomson - Geometry - 1891 - 160 pages
...interior opposite angles, and the three interior angles are together equal to two right angles. Cor. i.— **All the interior angles of any rectilineal figure...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.... | |
| Caleb Pamely - Coal mines and mining - 1891 - 664 pages
...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... | |
| Thomas Baker - Railroads - 1891 - 262 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... | |
| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...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 angular... | |
| Euclid - Geometry - 1892 - 460 pages
...I. 15, (,'or. Therefore all tho interior angles of the figure, with four right angles, am together **equal to twice as many right angles as the figure has sides,** Q. u. U, COROLLARY 2. If the sides of a rectilineal JlJure, which has no re.entrant angle, are produced... | |
| Sidney Luxton Loney - Plane trigonometry - 1893 - 534 pages
...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 to 10#... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...at right angles to AD and CE at right angles to BC ; show that AE is equal to AD. (12.) 9. Show that **all the interior angles of any rectilineal figure,...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... | |
| Queensland. Department of Public Instruction - Education - 1897 - 456 pages
...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...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 complements... | |
| George D. Pettee - Geometry, Plane - 1896 - 272 pages
...[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... | |
| Northwest Territories Council of Public Instruction - 1897 - 628 pages
....Vttf* (\tn<thl«trs must obtain at Ittist 34 ;xr <rnf. on rack section. A. 1. (<*} Prove that nil **the interior angles of any rectilineal figure, together with four right angles, are equal to twice** us many right angle* as th<« figure has shies. Cor I. I 82. \ Show that proposition vii> applies to... | |
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