Books Books ... twice as many right angles as the figure has sides. Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 103
by Thomas Perronet Thompson - 1833 - 150 pages ## A Treatise on Geometry and Its Application in the Arts

Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...external angles ; for, the sum of all the angles internal and external including the convex angles, is equal to twice as many right angles as the figure has sides, together with the excess of every convex angle above two right angles. But the sum of the internal... ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...angle ABC, with its adjacent exterior angle ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior... ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...angle ABC, with its adjacent exterior angle ABD, is equal (13. 1.) to two right angles ; therefore all the interior together with all the exterior angles...figure are equal to twice as many right angles as there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...interior angle ABC, with its adjacent exterior ABD, is equal (13. 1.) to two right angles ; therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure ; that is, by the . foregoing corollary, they are -D equal to all th§... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...many right angles as the figure has sides, wanting four. For all the angles exterior and interior arc equal to twice as many right angles as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many right... ## Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...two regular polygons, having the same number of sides. The sum of all the angles in each figure is equal to twice as many right angles as the figure has sides, less four right angles (BI A{ Prop. 13), and as the number of sides is the same in each figure, the... ## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...angle ABC, and the adjacent exterior ABD, are together equal (I. 13) to two right angles ; therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...interior angle ABC, with its adjacent exterior ABD, is equal* to two * 13. i. right angles; therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure ; that is, by the foregoing corollary, they are equal to all the interior... ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...angles as the figure has sides ; 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. COR. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... 