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

John Playfair - 1819 - 317 σελίδες
...many right angles as the figure has sides, wanting four. For all the angles exterior and interior are equal to twice as many right an,gles as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many right angles...

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

John Playfair - 1819 - 333 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 tegether equal to four...

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...; add all the inward angles A, n, c, &.c. together ; for when the work is right, their sum will be equal to twice as many right angles as the figure has sides, wanting 4 right angles. But when there is an angle, a* r, (hat bends inward*, and yon measure the external...

The First Six Books with Notes

Euclid - 1822 - 179 σελίδες
...Cor. 6. All the internal angles of any rectilineal figure, ABCDE, together with four right angles, are equal to twice as many right angles as the figure has sides. Take any point F within the figure and draw the right lines FA, FB, FC, FD, and FE. There are formed...

A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 551 σελίδες
...least, two acute angles. THEOREM XXV. All the inward angles of any rectilineal figure А В С DE, are together equal to twice as many right angles as the figure has sides, wanting four right angles. For from any point, F, within the figure, let lines be drawn to its angular...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...I). Cor. 1 . All the interior angles of any rectilínea] 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 Arithmetic, Algebra, and Geometry

George Lees - 1826
...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. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side...

Elements of Geometry: With Notes

John Radford Young - 1827 - 208 σελίδες
...the angles in each triangle amounts to two right angles, therefore the angles of all the triangles are together equal to twice as many right angles as the figure has sides, that is to say, the sum of the angles of the polygon, together with those about the point within it,...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 σελίδες
...zi. 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: With Notes

John Radford Young - 1827 - 208 σελίδες
...angles, (Prop. VI. Cor. 2.) deducting these therefore, and there remains the angles of the polygon equal to twice as many right angles as the figure has sides, all but four right angles. Cor. 1. The angles of a quadrilateral are together equal to four right angles,...




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