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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. "
A Course of Mathematics in Two Volumes for the Use of Academies as Well as ... - Page 62
by Charles Hutton - 1807
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A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - Mathematics - 1860 - 1014 pages
...as many right u:ta as the figure has sides, wanting four right angles. But when there is an u>?l*. as F, that bends inwards, and you measure the external angle, which is ks than two right angles, subtract it from four right angles, or 360 degrees, u give the internal angle...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...two right angles ; and all the angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 6. The opposite sides and angles of parallelograms are equal to one another, and the diameter bisects...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 468 pages
...triangles is equal to two right angles, (Th. 11) ; and the sum of the angles of all the triangles must be equal to twice as many right angles as the figure has sides. But the sum of these angles contains the sum of four right angles about the point p ; taking these...
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The Mathematical Monthly, Volume 2

1860 - 462 pages
...must be aliquot parts of the circle or of four right angles. All the angles of any such figure are equal to twice as many right angles as the figure has sides minus four right angles, or if « be the number of sides, the sum of all the angles is (2n — 4) right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...there are as many triangles as the figure has sides, therefore all the angles of these triangles are equal to twice as many right angles as the figure has sides ; but the same angles of these triangles are equal to the interior angtef of the figure together with...
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A course of geometrical drawing

William Schofield Binns - 1861 - 206 pages
...Euc. I., 32, Cor. 1, "All the angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides." From this corollary, we can deduce a formula for finding the angle of any polygon. Let x equal the...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...therefore, deducting the sum of the angles about the point, there remain the angles of the polygon equal to twice as many right angles as the figure has sides, less four right angles. 103. Cor. 1. The sum of the angles in a quadrilateral is equal to four right...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...therefore, deducting the sum of the angles about the point, there remain the angles of the polygon equal to twice as many right angles as the figure has sides, less four right angles. 103. Cor. 1. The sum of the angles in a quadrilateral is equal to four right...
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Elementary geometry

James Maurice Wilson - 1878 - 450 pages
...angles ; (Th. 4. Cor.) therefore all the angles of the polygon, together with four right angles, are equal to twice as many right angles as the figure has sides ; that is, all the angles of the polygon are together less than twice as many right angles as the figure...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...&c. QED Cor. 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. All the interior angles ABC, BCD, &c. together with four right...
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