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Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - الصفحة 181
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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Mathematics, mechanics, heat

...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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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 Text-book of Euclid's Elements for the Use of Schools, كتاب 1

Euclid, H. S. Hall, F. H. Stevens - 1904 - عدد الصفحات: 456
...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,...
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A Treatise on Surveying, المجلد 1

...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 - عدد الصفحات: 137
...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: Including Practical ..., الجزء 1

Sidney Herbert Wells - 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),...
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Catalogue ...

...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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Text Book of Topographical and Geographical Surveying

Sir Charles Frederick Close - 1905 - عدد الصفحات: 288
...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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Annual Report of the Saskatchewan Department of Education

...right angles. — I. 32. (6) What is a Corollary ? Show that all the interior angles of any rectilineal figure, together with four right angles, are equal...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, المجلد 1

...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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