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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.
Elements of Plane Geometry: For the Use of Schools - Σελίδα 83
των Nicholas Tillinghast - 1844 - 96 σελίδες
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## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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. COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles....

## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 432 σελίδες
...are 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 right angles multiplied by...

## Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - 1854 - 335 σελίδες
...angles. SCHOLIUM. In any figure bounded by right lines and angles, the sum of all the interior angles is equal to twice as many right angles as the figure has sides, less four right angles. Let ABCDE be any figure; then the sum of all its inward angles, A-\B-\-C-\-D-\-E, is equal to twice...

## The popular educator, Τόμοι 5-6

Popular educator - 1854
...into three equal parts. *"'t 3Fig. .42. No. 3. 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 (Ax. 1) to all the...

## A Manual for Practical Surveyors

E.W. Beans - 1854
...taken. If the entire survey has been made as above directed, the sum of all the internal angles will be equal to twice as many right angles as the figure has sides, diminished by four right angles. If this sum, as in practice will be likely to be the case, should...

## A Treatise on Land-Surveying Comprising The Theory Developed from Five ...

...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. " Calculate...

## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1855 - 324 σελίδες
...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 sidesBut the sum of all the angles about the point P is equal to four right angles (Th- ii- Cor- 4)...

## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...and there are as many triangles in the figure as it has sides, all the angles of these triangles are equal to twice as many right angles as the figure has sides. But all the angles of these triangles are equal to the interior angles of the figure, viz. ABС, BСD,...

## A Treatise on Land-surveying: Comprising the Theory Developed from Five ...

William Mitchell Gillespie - 1856 - 464 σελίδες
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. " Calculate...

## Elementary text book for young surveyors and levellers

Henry James Castle - 1856 - 185 σελίδες
...angles are the exterior angles of an irregular polygon ; and as the sum of all the interior angles are equal to twice as many right angles, as the figure has sides, wanting four ; and as the sum of all the exterior, together with all the interior angles, are equal...