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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. "
The Young Surveyor's Guide: Or, A New Introduction to the Whole Art of ... - Σελίδα 24
των Edward Laurence - 1716 - 375 σελίδες
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Modern Methods in Elementary Geometry

E. M. Reynolds - 1868 - 172 σελίδες
...angles are together equal to twice as many right "angles as the figure has sides. , Hence the interior angles are equal to twice as many right angles as the figure has sides, diminished by four right angles. COR. The exterior angle of any regular polygon of n sides is...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 σελίδες
...right 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. COB. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively...

Annual Report of the Commissioners ..., Τόμος 36

1870 - 838 σελίδες
...Mensuration. — 1. Show 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. (12 marks). 2. Enunciate and prove the 32nd proposition of the First Book of Euclid's Elements....

On Intelligence

Hippolyte Taine - 1871 - 606 σελίδες
...itself divisible by 9. Every convex polygon contains a number of angles which, together with four right angles, are equal to twice as many right angles as the figure has sides. Here are two laws in which the first datum is a sum of separable data; in fact, the written...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 σελίδες
...F, that is, together with four right angles (Prop. V., Cor. 2). Therefore the angles of the polygon are equal to twice as many right angles as the figure has sides, wanting four right angles. Cor. 1. The sum of the angles of a quadrilateral is foui right angles...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...is, together with four right angles. Therefore all the angles of the figure, together witb 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...

Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873 - 182 σελίδες
...angles (Prop. 9). Proposition 32.— Theorem. The inner angles of a rectilinear figure, with four riyht angles, are equal to twice as many right angles as the figure lMS sides. The figure may be divided into as p many triangles as it has sides, by joining the angular...

Euclidian Geometry

Francis Cuthbertson - 1874 - 400 σελίδες
...together = four right L s. (i. 9) COR. All the interior angles «fa polygon together with four right angles are equal to twice as many right angles as the figure has sides. O For the L NOP of the polygon together with the exterior L UO V makes up two right L s. (i....

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...as many right angles as the figure has sides. But all the interior angles, together with four right angles, are equal to twice as many right angles as the figure has sides (I. 32, Cor. 1) ; Therefore all the interior angles, together with all the exterior angles, are...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...right 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...




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