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 ## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...is equal to two right angles (2.) ; all the interior angles, together with all the exterior angles, are equal to twice as many right angles as the figure has angles. But all the exterior angles are, by the former part of the proposition, equal to four right... ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 333 pages
...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 angles . as the figure has sides, wanting four. PROP. II. Two straight lines, which make with a third line the interior ancles on the... ## The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 183 pages
...to four right angles (2); and therefore the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Cor. 7. The external angles of any rectilineal figure are together equal to four right angles. For... ## The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833 - 304 pages
...= to two right angles, (prop. 13.) Therefore, all the external angles, with all the internal, are = to twice as many right angles as the figure has sides ; but the internal angles, with four right angles, are = to twice as many right angles as the figure has... ## Inductive Geometry, Or, An Analysis of the Relations of Form and Magnitude ...

Charles Bonnycastle - Geometry - 1834 - 670 pages
...expressed as the following proposition : "The interior angles of any closed plane figure are together equal to twice as many right angles as the figure has sides, minus four right angles." 206. And as a second application of the principle in question, or, which... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...interior angle ABC, with its adjacent exterior ABD, is equal b to two right \ b la 1. 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 - 1835 - 316 pages
...are equal to all the angles of the figure, together with four right angles, that is, the anhas gles of the figure are equal to twice as many right angles as the figure sides, wanting four. COR. 1. All the exterior angles of any rectilineal figure are togethe1" equal... ## Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...is equal to two right angles (2.) ; all the interior angles, together with all the exterior angles, are equal to twice as many right angles as the figure has angles. But all the exterior angles are, by the former part of the proposition, equal to four right... ## The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...interior angle ABC with its adjacent exterior ABD is equal (Cor. 3. 1. 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... 