| American School (Chicago, Ill.) - Engineering - 1903
...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... | |
| Caleb Pamely - 1904
...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... | |
| Euclid - Euclid's Elements - 1904 - 456 pages
...angles at F, which are equal to four right angles. I. 15, Cor. Therefore all the interior angles of the **figure, together with four right angles, are equal to twice as many right** COROLLARY 2. If the sides of a rectilineal figure, which has no re-entrant angle, are produced in order,... | |
| William Schoch - Geometry - 1904 - 137 pages
...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.... | |
| Reginald Empson Middleton, Osbert Chadwick - Surveying - 1904
...angles as the figure has sides. The sum of the ' exterior ' angles diminished by four right angles is **equal to twice as many right angles as the figure has sides.** The sum of the ' differences of latitude ' being ' northings,' is equal to the sum of those which are... | |
| Sidney Herbert Wells - Machine design - 1905
...depends upon Corollary I. of Euclid i., 32, 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),... | |
| C. F. Close - Surveying - 1905 - 288 pages
...together with the line AB form an enclosed figure, and the sum of all the interior angles should be **equal to twice as many right angles as the figure has sides,** less four right angles. We thus have a check on the observed horizontal angles. It should be carefully... | |
| Yale University. Sheffield Scientific School - 1905
...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... | |
| Saskatchewan. Department of Education - Education - 1906
...the triangle are together equal to two right angles. — I. 32. (6) What is a Corollary ? Show that **all the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides.** (c) Derive the magnitude of an angle of a regular octagon. (d) If the exterior vertical angle of an... | |
| Royal Geographical Society (Great Britain) - Scientific expeditions - 1906
...together with the line AB form an enclosed figure, then the sum of all the interior angles should be **equal to twice as many right angles as the figure has sides,** less four right angles. We thus have a check on the observed horizontal angles. It should be carefully... | |
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