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 ## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852 - 152 pages
...Because every interior angle ABC, with its adjacent exterior ABD, is equaP 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... ## The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...lines meeting in a point are equal to four right angles. 6. All the interior angles of any rectilineal figure, are equal to twice as many right angles as the figure has sides, less four right angles. 7. The exterior angles of a rectilineal figure are equal to four right angles.... ## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 334 pages
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 4) ; and since... ## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral, is equal to two... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...interior angle ab С, with its adjacent exterior ab d, is equal (i. 13) to two right angles ; therefore .all the interior, together with all the exterior...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... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...interior angie ABC, with its adjacent exterior ABD, is equal (13. i.) 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... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...interior angle ABC, with its adjacent exterior ABD, is 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... ## The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...There are formed as many triangles as the figure has sides, therefore all their angles taken together are equal to twice as many right angles as the figure has sides (a) ; but the angles at the point F are together equal to four right angles (4), therefore all the... ## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...been proved by the foregoing corollary, that all the interior angles together with four right angles are equal to twice as many right angles as the figure has sidesTherefore all the interior angles together with all the exterior angles are equal (Ax. 1) to all... 