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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. "
The Young Gentleman's Arithmetick, and Geometry: Containing Such Elements of ... - Pagina 209
door Edward Wells - 1723 - 294 pagina’s
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 464 pagina’s
...is, has fides. But fince all the inward angles together, with four right angles, has been proved to be equal to twice as many right angles as the figure has fides ; therefore all the inward angles, together with four right angles, is equal to all the inward...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 440 pagina’s
...the Sides. ie equal to four Right Angles. And, all the internal Angles of any Right-lined Figure are equal to twice as many Right Angles as the Figure has Sides, wanting four, (Th. i. i0. i.) confequently, the external Angles being equal to thofe four (Th. 2. of...
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A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - 1788 - 703 pagina’s
...work ; add all the inward angles A, B, c, &c, together, and when the work is right, their fum will be equal to twice as many right angles as the figure has fides, wanting 4 right angles. And when there is an angle, as F, that bends inwards, and you meafure...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

1801 - 426 pagina’s
...work ;• add all the inward angles A, B, C, &c. together, and when the work is right, their sum will be equal to twice as many right angles, as the figure has sides, wanting four right angles. And when there is an angle, as F, that bends inward, and you measure the...
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The Accomplished Tutor; Or, Complete System of Liberal Education ..., Volume 1

Thomas Hodson - 1806 - 458 pagina’s
...the work ; — add all the inward angles ABC, &c. together ; and if the work be right, the fum will be equal to twice as many right angles as the figure has fides, except four right angles ; but when there is an angle that bends inwards, as at F, and you meafure...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pagina’s
...if a side of a triangle, &c. QED "7^ COR. 1. All the interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides, wanting four right angles. For any rectilineal figure ABCDE can be divided into as many triangles as...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...D, 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...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 2

Charles Hutton - 1807
...work ; add all the inward angles A, B, c, &c, together ; for when the work is right, their sum will ba equal to twice as many right angles as the figure has sides, wanting 4 right angles. But when there is an angle, as F, that bends inwards, and you measure the external...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 pagina’s
...is equal to two right angles. All the exterior angles therefore, added to the interior angles, ftre equal to twice as many right angles as the figure has sides. Consequently the exterior angles are equal to the four right angles which, by the last Proposition,...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...triangles, is equal to two right angles (th. 17); therefore the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles about the point P, which are so many many of the angles of the triangles, but...
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