 | 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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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. 
