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" 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. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Σελίδα 33
των John Playfair - 1795 - 400 σελίδες
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...1.) Wherefore, if a side of a triangle, &c. QED 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. DEMONSTRATION For, any rectilineal figure ABCDE can, by drawing straight lines from a point...

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...figure has sides wanting four right angles. Let ABODE be any given rectilineal figure, all its interior angles are equal to twice as many right angles as the figure has sides wanting four right angles. From F, a point within the figure, draw the straight lines AF, BF,...

A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - 1865 - 428 σελίδες
...and B ABC + BAC + ACB = two right angles. (32.1.) 76. The interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides, diminished by four right angles. The interior angles of a quadrilateral are therefore equal...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...is, together with four right angles. [I. 15. Corollary 2. 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. COROLLARY 2. All the exterior angles of any rectilineal figure are together equal to four right...

A Dictionary of Science, Literature, & Art: Comprising the ..., Τόμος 3

William Thomas Brande - 1867
...polygons, the first corollary to his prop. 32, book i. (according to which all the interior angles, together with four right angles, are equal to twice as many right angles as the figure hns sides), is also true for concave polygons. His second corollary, however, according to which the...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...Wherefore, if a side of any triangle &c. Q EB COROLLARY 1. All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as thejigure has side.". For any rectilineal figure ABCDE can be divided into as many triangles as the...

A Dictionary of Science, Literature, & Art: Comprising the ..., Τόμος 3

William Thomas Brande, George William Cox - 1867
...polygons, the first corollary to his prop. 32, book i. (according to which all the interior angles, together with four right angles, are equal to twice as many right angles as tie figure has sides), is also true for concave polygons. His second corollary, however, according...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 σελίδες
...Wherefore, if a side of any triangle be produced, &c. QED 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. D For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,...

Modern Methods in Elementary Geometry by E. M. Reynolds

Edward Morris Reynolds - 1868 - 136 σελίδες
...angles are together equal to twice as many right "angles as the figure has sides. , Hence the interior angles are equal to twice as many right angles as the figure has sides, diminished by four right angles. COR. The exterior angle of any regular polygon of n sides is...

Annual Report of the Commissioners ..., Τόμος 36

1870
...hours a day. Geometry and Mensuration. — 1. Show that 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. (12 marks). 2. Enunciate and prove the 32nd proposition of the First Book of Euclid's Elements....




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