 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...3. Show that all the interior angles of any rectilineal 7 figure, together with four right angles, are equal to 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... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...angles is equal to twice as many right angles as the figure has sides. But by (125) the interior angles are equal to twice as many right angles as the figure has sides, less four right angles. Therefore the exterior angles alone are equal to four right angles. QED EXERCISES.... | |
 | Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...angles. I. 15, Cor. Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. QEI>. COROLLARY 2. If the sides of a rectilineal figure, which has no re.entrant angle, are produced... | |
 | Sidney Herbert Wells - Machine design - 1900 - 200 pages
...which says that " the interior angles of any straight lined figure together with four right angles are equal to twice as many right angles as the figure has sides." The most common of the regular polygons used in engineering designs are the pentagon (five-sided),... | |
 | Arthur Thomas Walmisley - Leveling - 1900 - 344 pages
...of all the interior angles of any rectilineal figure, together with four right angles, are together equal to twice as many right angles as the figure has sides. In a traverse survey the number of stations should be as few as possible, and as much care should be... | |
 | John Whitelaw - Surveying - 1902 - 636 pages
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is equal to twice as many right angles as the figure has sides, less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the interior... | |
 | Education - 1902 - 942 pages
...that LP is less than LM. 3. Prove that the sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, diminished by four right angles. 14. ABC is an equilateral triangle in which AD is drawn perpendicular... | |
 | 1903 - 898 pages
...A.] 1. 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 BCD is a quadrilateral figure, and the angles at A, B, C and D are bisected. Straight lines are drawn... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...ABCDEF oe the given polygon. To prove that the sum of the interior angles A, B, C, D, E, and F, is equal to twice as many right angles as the figure has sides minus two. If from any vertex as A, diagonals AC, AD, AE, are drawn, the polygon will be divided into... | |
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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. 
