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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. "
Books 10-13 and appendix - Seite 310
von Euclid - 1908
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The Young Surveyor's Guide: Or, A New Introduction to the Whole Art of ...

Edward Laurence - 1716 - 375 Seiten
...external < a, is equal to t wo right Angles (by tbe^tb /)confequently all the internal and external Angles are equal to twice as many right Angles as the Figure has fides. But all its internal Angles are equal to twiee as many right Angles eicept 4 as it has fides...
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The Young Gentleman's Arithmetick, and Geometry: Containing Such Elements of ...

Edward Wells - 1723 - 294 Seiten
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...triangles ; that is ", toM. i. 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 fides. C o R. 2 . All the exterior angles of any rectilineal figure are together equal to four right...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 464 Seiten
...whole ig equal to all its parts taken together) therefore .all the angles of a right-lined figure, together with four right angles, are equal to twice as many right angles as the figure has fides. And taking away four right angles from each, there will remain all the angles of the figure...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 482 Seiten
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 Seiten
...of the triangles; that is", together 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 fides. CoR. 2. All the exterior angles of any re&ilineal figure, are together equal to four right angles....
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 Seiten
...of the triangles; that isa, together with four right angles. Thprefpre all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has fides. CoR. 2. All the exterior angles of any rectilineal figure, arc together equal to four right...
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A Complete Treatise on Practical Mathematics: Including the Nature and Use ...

John McGregor (teacher of mathematics.) - 1792 - 431 Seiten
...any regular polygon* 3By cor. i ft, I. 32. Euclid. All the anterior angles of any reoilineal figure, together with four right angles, are equal to twice as many right angles as the figure has fides. Hence the following rule. RULÉ. From double thé number of fides f übt vail: 4, and the remainder...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 444 Seiten
...Wherefore, if a fide of a triangle; &c. Q^ED CoR. i. All the interior angles of any reftilineal figure, together with four right angles, are equal to twice as many right angles as the figure has fides. For any reftilineal figure ABCDE can be divided into as many triangles as the figure has lides,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 Seiten
...Wherefore, if a fide of a triangle, &c. Q^ED CoR. i. 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 fides. For For any reftilineal figure ABCDE can be divided into as many triangles as the figure has...
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