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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. "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Σελίδα 38
των Sir John Leslie - 1817 - 432 σελίδες
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The Young Gentleman's Arithmetick, and Geometry: Containing Such Elements of ...

Edward Wells - 1723 - 358 σελίδες
...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...

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

Thomas Malton - 1774 - 484 σελίδες
...by 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...

Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 2

1801 - 658 σελίδες
...;• 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...

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

John Playfair, Euclid - 1804 - 468 σελίδες
...Wherefore^ if a fide of a triangle; &c. C^ED CoR. i. All the interior angles of any reftilmeal figure, are equal to twice as many right angles as the figure has fides, wanting four right angles. For any reftilineal figure ABCDE can be divided into as many triangles...

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

Robert Simson - 1806 - 546 σελίδες
...1. gether 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 - 1806 - 320 σελίδες
...to 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...

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 - 542 σελίδες
...four right angles. The exterior angles DEF, CDG, BCH, ABI, and EAK of the rectilineal figure ABODE are taken together equal to four right angles. For...angles are equal to the four right angles which, by the last Proposition, •were ahated, to form the aggregate of the interior angles. Cor. If the figure...

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...angles are equal to the four right angles which, by the last Proposition, were abated, to form the aggregate of the interior angles. Cor. If the figure has...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 σελίδες
...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,...




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