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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. "
Elements of Plane Geometry: For the Use of Schools - Page 81
by Nicholas Tillinghast - 1844 - 96 pages
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...more than two points. PROPOSITION XVI. THEOREM * 6'6*. The sum of all the angles of any polygon is twice as many right angles as the figure has sides, less four right angles. GIVEN ABCDE, any polygon, having sides. To PROVE — the sum of its angles is 2 — 4 right angles....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...Show that all the interior angles of any rectilineal 7 figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 4. Parallelograms on equal bases, and between the 18 same parallels, are equal in area. 5. The complements...
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Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...in more than two points. PROPOSITION XVI. THEOREM 6-6. The sum of all the angles of any polygon is twice as many right angles as the figure has sides, less four riglit angles. GIVEN ABCDE, any polygon, having n sides. To PROVE — the sum of its angles is in —...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...interior angle (by 79) is equal to two right angles. That is, the sum of the interior and exterior angles is equal to twice as many right angles as the figure has sides. But by (125) the interior angles are equal to twice as many right angles as the figure has sides, less...
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...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 ABODE be any rectilineal figure. Take F, any point within it, and join F to each of the angular...
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Engineering Drawing and Design (A Text-book Of): Including Practical ...

Sidney Herbert Wells - Machine design - 1900 - 200 pages
...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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Land Surveying and Levelling

Arthur Thomas Walmisley - Leveling - 1900 - 344 pages
...of all the interior angles of any rectilineal figure, together with four right angles, are together equal to twice as many right angles as the figure has sides. In a traverse survey the number of stations should be as few as possible, and as much care should be...
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Virginia School Report: Annual Report of the Superintendent of Public ...

Virginia. Department of Education - Education - 1901 - 376 pages
...is 60 rods. Find its length and breadth. PLANE GEOMETBT. 1. The sum of all angles of any polygon is twice as many right angles as the figure has sides, less four right angles. 2. If any number of parallels intercept equal parts on one cutting line, they intercept equal parts...
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The School World, Volume 3

Education - 1901 - 548 pages
...two right angles. (2) All the interior angles of any rectilineal figure are together equal to iwice as many right angles as the figure has sides less four right ai gles. In any rectilineal figure which has five, or more than fivet sides, il three consecutive angles...
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Surveying, as Practiced by Civil Engineers and Surveyors ...: Intended as a ...

John Whitelaw - Surveying - 1902 - 638 pages
...angular 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 angles is equal to 2 x...
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