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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. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 41
by Euclides - 1838
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Surveying and Building Construction for Agricultural Students, Land Agents ...

Alfred Hubert Haines, A. F. Hood Daniel - Building - 1915 - 360 pages
...fulfilled :— 1. All the interior deduced or observed angles together with four right angles must be equal to twice as many right angles as the figure has sides. 2. The northings must equal the southings. 3. The eastings must equal the westings. In ordinary traverse...
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Surveying as Practised by Civil Engineers and Surveyors: Including the ...

John Whitelaw - Surveying - 1916 - 582 pages
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is equal to twice as many right angles as the figure has sides, less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the interior...
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The Founder's Manual: A Presentation of Modern Foundry Operations, for the ...

David Wells Payne - Founding - 1917 - 724 pages
...to corresponding angles are proportional. (6) In any polygon, the sum of all the interior angles is equal to twice as many right angles as the figure has sides, less four right angles. (7) In any polygon the sum of all the exterior angles is equal to four right...
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A Text-book of Theodolite Surveying and Levelling: For the Use of Students ...

James Park - Azimuth - 1922 - 598 pages
...iii . . . . 141 12 iv .... 66 40 Total . 360° 00' And the sum of the internal angles of a polygon is equal to twice as many right angles as the figure has sides, less four right angles. Our figure has four sides, .-. 90(4x2) -(4x90) =360°, which agrees with the...
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Surveying as Practised by Civil Engineers and Surveyors, Including the ...

John Whitelaw - Surveying - 1924 - 642 pages
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is equal to twice as many right angles as the figure has sides, less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the interior...
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The Transactions of the Canadian Mining Institute, Volume 15

Canadian Mining Institute - Mineral industries - 1912 - 778 pages
...know from Euclid that the sum of the interior angles of any closed figure bounded by straight lines is equal to twice as many right angles as the figure has sides less four right angles; figure A has 12 sides, therefore, the interior angles are equal to 20 right...
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On Intelligence

Hippolyte Taine - Psychology - 1998 - 596 pages
...together equal to four right angles ; hence it follows that the polygon contains a number of angles which, together with four right angles, are equal to twice as many right angles as there are sides. — Here the explanatory intermediate is a character comprised in all the elements...
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