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" Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon... "
Elements of Geometry and Trigonometry - Page 31
by Adrien Marie Legendre - 1837 - 359 pages
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...equal to four right angles ; and in any convex polygon the sum of the interior angles, together with four right angles, is equal to twice as many right angles as the figure has sides (Euc. I. 32, Cor.) 110 Congruence. CI — If two triangles have two sides and the...
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Special Reports on Educational Subjects, Volume 24

Great Britain. Board of Education - Education - 1911 - 678 pages
...angle." In the same way it was shown on the board that the sum of the interior angles of a convex polygon is equal to twice as many right angles as the polygon has sides less two. This theorem was to be repeated at the next lesson ; and the boys were asked to prove as...
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A Treatise on Surveying, Part 1

Surveying - 1911 - 336 pages
...close jK,lygon, which may be summarised as follows. The sum of the ' interior' angles augmented by four right angles is equal to twice as many right angles as i 'he figure has sides. The sum of the ' exterior ' angles diminished by four right angles is equal...
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The Coal Miner's Handbook: A Handy Reference Book for Coal Miners, Pit ...

International Correspondence Schools - Coal mines and mining - 1913 - 360 pages
...of the exterior angles will equal four right angles. 18. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. For example, the sum of the interior angles of a quadrilateral is (2X4)—...
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The Elements of Surveying and Geodesy

William Charles Popplewell - Geodesy - 1915 - 272 pages
...to the number of sides. Stated precisely, " the sum of all the internal angles of a closed polygon plus four right angles is equal to twice as many right angles as the figure has sides." So that it is easy from the field notes to find the internal angle at each corner...
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Plane Geometry

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...equilateral and equiangular. PROPOSITION XXX. THEOREM 173. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. Given. A polygon having n sides. To prove that the sum of the angles is 2 n...
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Coal Miners' Pocketbook: Formerly The Coal and Metal Miners' Pocketbook ...

Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...the exterior angles thus formed is equal to 360°. 24. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. For example, the sum of the interior angles of a pentagon is (2X5)— 4 = 6...
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The Psychology of Reasoning

Eugenio Rignano - Reasoning - 1923 - 416 pages
...accomplished at first. "So that the angles of the polygon, if added to the angles at the vertex, are equal to twice as many right angles as the polygon has sides." Here we mentally perform the experiment which consists in substituting, in a given sum of a certain...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...equal to four right angles 14 COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides 14 EXERCISES 15 Chapter III. CONGRUENT TRIANGLES. NOTE ON THE METHOD OF SUPERPOSITION 18 JTHEOREM 10....
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On Intelligence

Hippolyte Taine - Psychology - 1998 - 596 pages
...weight of the liquid they displace. In every polygon, the sum of the internal angles together with four right angles is equal to twice as many right angles as the figure has sides. — Here are laws; each of them consists in a couple of general and abstract characters...
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