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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 first six books, together with the eleventh ... - Page 30
by Euclides - 1814

## Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 pages
...the base and from one another. COB. l.— The sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, minus four right angles. Take any rectilineal figure, as ABCDEF, and take G, any point within it. Join...

## The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...the vertex are together equal to four right angles, I. 15 (Cor.). Therefore all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides. Ax. 1. COROLLARY II. TO PROPOSITION XXXII. All the exterior angles of any rectilineal figure are together...

## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

...without producing the given line. 1. Prove that 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. There are two regular polygons, the number of sides of one is double the number of sides of the other,...

## An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884
...many right angles as the figure has sides. But, by the foregoing Corollary, all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides ; therefore all the interior angles, together with all the exterior angles, are equal to all the interior...

## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...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. XXXIII. — The straight lines which join the extremities of two equal and parallel straight lines,...

## Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...point are together equal to four right angles. (б) 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. (6) All the exterior angles of any rectilineal figure are together equal to four right angles. (7)...

## The elements of plane geometry, Volume 1

Mathematical association - 1884
...triangles make up the interior angles of the polygon, therefore the interior angles of the polygon together with four right angles are equal to twice as many right angles as the polygon has sides. QED Ex. 45. Prove Theor. 26 by joining one angular point of the polygon to all the...

## The Elements of Plane Geometry ...

...equal to the angles formed by the second pair. THEOR. 36. All the interior angles of any convex polygon together with four right angles are equal to twice as many right angles as the polygon has sides. Let ABCDE be any convex polygon : A then shall all the interior angles of ABCDE...