 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 sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by drawing...  A course of geometrical drawing - Page 23by William Schofield Binns - 1881Full view - About this book
 | Popular educator - 1854 - 922 pages
...tiungles are equal to twice as many right anales as the figure has sides. Therefore all the angles of the figure together with four right angles are equal to twice as many right ung'es as the figure has sides. Corollary 2. All the exterior angles of any rectilineal figure, made... | |
 | 1856 - 428 pages
...triangles thus formed are equal to all the angles of the figure (Const.) ; therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure nas sides (Лх. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the pxterior angles... | |
 | Education - 1857 - 1266 pages
...produced to meet the alternate sides, also produced, the angles formed by these lines, together with eight right angles are equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, the difference of their squares is equal... | |
 | British and foreign school society - 1857 - 548 pages
...produced to meet the alternate sides, also produced, the angles formed by these lines, together with eight right angles, are equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, the difference of their squares is equal... | |
 | Euclides - 1862 - 140 pages
...1.) Conclusion. — Therefore, if a side of any triangle, &c. QED Corollary. — 1. All the interior angles of any rectilineal figure, together with four right angles, are equal to twice at many right angles as the figure /MS sides. 1. For any rectilineal figure ABCDE can, by drawing straight... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...right angles. [Axiom 1. Wherefore, if a side of any triangle &c. Q ED COROLLARY 1. All the interior angles of any rectilineal figure, together with four...equal to twice as many right angles as the figure has sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...right angles. [Axiom 1. Wherefore, if a side of any triangle &c. Q EB COROLLARY 1. All the interior angles of any rectilineal figure, together with four...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... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...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... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...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... | |
 | Hippolyte Taine - Knowledge - 1871 - 606 pages
...together equal to four right angles ; hence it follows that the polygon contains a number of angles which, together with four right angles, are equal to twice as many right angles as there are sides. — Here the explanatory intermediate is a character comprised in all the elements... | |
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