| Surveying - 1902 - 366 pages
...polygon of '»' sides Ab b BC, 'add together the interior angles of the polygon, and subtract from **twice as many right angles as the figure has sides, less four right angles.'** The points are then found as on page 64. LAYING our CURVES. The various methods of laying out curves... | |
| Education - 1902 - 942 pages
...MN, prove 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... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...Let 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... | |
| 1903 - 898 pages
...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... | |
| William Schoch - Geometry - 1904 - 152 pages
...angles of a polygon without measuring them ? Exercise 33. If the sum of the interior angles of a polygon **is equal to twice as many right angles as the figure has sides less four right angles,** determine the sum of the interior angles of : 1. A six-sided polygon, or hexagon. 2. An eight-sided... | |
| Reginald Empson Middleton - Surveying - 1904 - 332 pages
...which may be summarised as follows. The sum of the ' interior ' angles augmented by four right angles **is equal to twice as many right angles as the figure has sides.** The sum of the ' exterior ' angles diminished by four right angles is equal to twice as many right... | |
| Caleb Pamely - 1904 - 1238 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... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...right angles as the figure has sides. But all the interior angles, with four right angles, are together **equal to twice as many right angles as the figure has sides.** I. 32, Cor. 1. Therefore all the interior angles, with all the exterior angles, are together equal... | |
| Yale University. Sheffield Scientific School - 1905 - 1074 pages
...altitude is 3 in. PLANE GEOMETRY SEPTEMBER, 1909 1. The sum of all the interior angles of any polygon **is equal to twice as many right angles as the figure has sides, less four right angles.** 2. The angle between two chords which intersect within a circle is measured by one-half the sum of... | |
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