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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. "
Mathematics: Compiled from the Best Authors and Intended to be the Text-book ... - Σελίδα 205
1801
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The Young Gentleman's Arithmetick, and Geometry: Containing Such Elements of ...

Edward Wells - 1714 - 348 σελίδες
...th«i Sum of all the Angles in all the Tri* angles, into which the Figure is divided, will together be equal to twice as many right Angles, as the Figure has Sidesj But the Angles about P, the inward Point of each Figure, wherein all fhe Triangles concur, are...

The Young Gentleman's Arithmetick, and Geometry: Containing Such Elements of ...

Edward Wells - 1723 - 358 σελίδες
...Right-, the Sum of all the Angles in all the Tri~ angles, into which the Figure is divided, will together be equal to twice as ma-ny right Angles, as the Figure has Sides. But the Angles about P, the inward Point of each Figure, wherein all the Triangles concur, are (by...

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

Euclid - 1765 - 492 σελίδες
...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...

A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 484 σελίδες
...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 the fame) are...

A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - 1788 - 728 σελίδες
...prove the 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...

The Accomplished Tutor; Or, Complete System of Liberal Education ..., Τόμος 1

Thomas Hodson - 1806 - 502 σελίδες
...prove 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...

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

John Playfair - 1806 - 320 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 angles as the figure has sides, and the exterior are equal to four right angles ; therefore the interior are equal to twice as many...

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

Robert Simson - 1806 - 546 σελίδες
...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...

A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - 1807 - 464 σελίδες
...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...

Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 522 σελίδες
...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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