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" F, which is the common vertex 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 sides. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Σελίδα 35
των Alexander Ingram - 1799 - 351 σελίδες
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The Young Surveyor's Guide: Or, A New Introduction to the Whole Art of ...

Edward Laurence - 1716 - 375 σελίδες
...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 (by the...

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

Robert Simson - 1762 - 466 σελίδες
...at the «. t (,„,. point F which is the common Vertex of the triangles ; that is ", toM. i. gether with four right angles. Therefore all the angles of...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 angles....

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

Euclid - 1765 - 464 σελίδες
...fpoken of, is equal to two right angles, all the angles of tiie figure, together with thefe outward angles, are equal to twice as many right angles as the figure has angles, that is, has fides. But fince all the inward angles together, with four right angles, has been...

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

Thomas Malton - 1774 - 440 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....

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

Robert Simson - 1775 - 520 σελίδες
...a triangle, &c. Q;.ED CoR. i. All the interior angles of any re&ilineal figure, together with foiir right angles, are equal to twice as many right angles as the figure has fides. For any re&ilineal figure ABCDE can be divided into as many triangles as the figure has fides, by drawing...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 σελίδες
...F, which is the common vertex of the triangles; that isa, together with four right angles. Thprefpre all the angles of the figure, together with four right...has fides. CoR. 2. All the exterior angles of any rectilineal figure, arc together equal to four right angle*. Becaufe every interior angle ABC, with...

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

Robert Simson - 1781 - 466 σελίδες
...with the angles at aa Cor. the point F which is the common Vertex of the triangles ; that is*, *s ', together with four right angles. Therefore all the...twice as many right angles as the figure has fides. Cou. 2. All the exterior angles of any rectilineal figure are together equal to four right angles....

A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - 1788 - 703 σελίδες
...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 external...

A Complete Treatise on Practical Mathematics: Including the Nature and Use ...

John McGregor (teacher of mathematics.) - 1792 - 431 σελίδες
...angles of 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...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...

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

John Playfair - 1795 - 400 σελίδες
...with the angles at the point F, which B the common vertex of the triangles : that is a, together witi four right angles. Therefore all the angles of the...with four right angles, are equal to twice as many rigit angles as the fi rurehas fides. CoR. 2. All the exterior angles of any reftilineal figure an...




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