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 Books Bücher F, which is the common vertex of the triangles ; that is, together with four right angles. 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. The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Seite 38
von Robert Simson - 1775 - 520 Seiten
Vollansicht - Über dieses Buch The examination papers as set for the preliminary literary examination of ...

...angles of a triangle are together equal to 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...
Vollansicht - Über dieses Buch Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...wherefore the salient angles F, G, H, T, K, with twice the angles m, n, «, e, w, that is, with eight right angles, are equal to twice as many right angles as the figure has sides. COR. — The salient angles with four right angles, are equal to the interior angles of the...
Vollansicht - Über dieses Buch The Mathematical Monthly, Band 2

1860
...figure 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 —...
Vollansicht - Über dieses Buch The Mathematical Monthly, Band 2

John Daniel Runkle - 1860
...figure 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 (2 n —...
Vollansicht - Über dieses Buch A course of geometrical drawing

William Schofield Binns - 1861
...let the required polygon be a pentagon. From 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...
Vollansicht - Über dieses Buch ELEMENTS OF GEOMETRY AND CONIC SECTIONS

ELIAS LOOMIS, LL.D. - 1861
...there are sides of the polygon BCDEF. Also, the anGEOMETRY. gles of the polygon, together with lour right angles, are equal to twice as many right angles as the figure has sides (Prop. XXVIII., BI) ; hence all the angles of the triangles are equal to all the angles of the...
Vollansicht - Über dieses Buch Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...which is the common vertex of all the triangles, are equal to four right angles. (I. 15, cor. 2.) 6. Therefore all the angles of the figure, together with...equal to twice as many right angles as the figure has sides. Corollary. — 2. All the exterior angles of any rectilineal figure are together equal to four...
Vollansicht - Über dieses Buch The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...are equal to twice as many right angles as there are angles or sides. but all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides ; (cor. 1) therefore all the interior angles, together with all the exterior angles, are equal...
Vollansicht - Über dieses Buch Responsions

University of Oxford - 1863
...fall on it from the opposite angle, and the acute angle. 4. 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. 5. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to...
Vollansicht - Über dieses Buch The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...point F within the Cor. 1.—All the interior angles (ABC, BCD, &c.) of any rectilineal figure (ABCDE) together with four right angles are equal to twice as many right angles as the figure has sides. ., figure to each of its angles. \ Because the three interior angles of a triangle are equal...
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