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" Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Σελίδα 40
των Euclid, Rev. John Allen - 1822 - 494 σελίδες
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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. COB. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles....

Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...adjacent angle DBC, is equal to two right angles. Therefore, all the external, with all the internal angles of the figure, are together equal to twice as many right angles as the figure has sides ; that is to say, according to the preceding corollary, they are equal to all the internal angles of...

A Treatise on Geometry and Its Application in the Arts

Dionysius Lardner - 1840 - 314 σελίδες
...external angles ; for, the sum of all the angles internal and external including the convex angles, is equal to twice as many right angles as the figure has sides, together with the excess of every convex angle above two right angles. But the sum of the internal...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 σελίδες
...QED COR. 1. 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. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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. COR. 2. All the exterior angles of any rectilineal figure are together equal to four right angles....

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 σελίδες
...all the angles of the figure, together with four right angles, that is, the angles of the figure are equal to twice as many right angles as the figure has sides, wanting four. COR. 2. All the exterior angles of any rectilineal figure are together equal to four...

Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 96 σελίδες
...two regular polygons, having the same number of sides. The sum of all the angles in each figure is equal to twice as many right angles as the figure has sides, less four right angles (BI A{ Prop. 13), and as the number of sides is the same in each figure, the...

A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845
...to four right angles. QED PROPOSITION XXII — THEOREM. All the interior angles of any rectilineal figure are together equal to twice as many right angles as the figure lias sides, wanting four right angles. For (Figure to Prop. 21 ) every interior /.EAB, together with...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 σελίδες
...&c. Cor. 1. 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. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...angles. But all the interior angles of any rectilinear figure together with four right angles, are equal to twice as many right angles as the figure has sides, that is, if we agree to assume IT to designate two right angles, .-. nS + 27T = ntr, and «6 = »ir...




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