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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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 35
av Euclid - 1810 - 518 sider
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - 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...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...edited Euclid-s text in 1756. COROLLARY 1. 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. Let ABCDE be any rectilineal figure. Take F, any point within it, and join F to each of the angular...
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The Colliery Manager's Handbook

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...
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A Treatise on Surveying, Volum 1

Reginald Empson Middleton, Osbert Chadwick - 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...
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Introduction to Geometry: A Manual of Exercises for Beginners

William Schoch - 1904 - 137 sider
...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....
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A text-book of engineering drawing and design

Sidney Herbert Wells - 1905
...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),...
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Text Book of Topographical and Geographical Surveying

C. F. Close - 1905 - 288 sider
...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...
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Catalogue ...

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...
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - 1906
...32. (6) What is a Corollary ? 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. (c) Derive the magnitude of an angle of a regular octagon. (d) If the exterior vertical angle of an...
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Hints to Travellers: Scientific and General, Volum 1

Royal Geographical Society (Great Britain) - 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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