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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 First Six Books: Together with the Eleventh and Twelfth - Seite 38
von Euclid - 1781 - 520 Seiten
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Bücher 1

James Andrew Blaikie, William Thomson - 1891
...angles are together equal to two right angles. 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 sides. Cor. ii.— All the exterior angles of any rectilineal figure are together equal to four right...
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The Colliery Manager's Handbook: A Comprehensive Treatise on the Laying-out ...

Caleb Pamely - 1891 - 578 Seiten
...tested by Euclid, for, " The sum of all the interior angles of any rectilinear figure, together with 4 right angles, are equal to twice as many right angles as the figure has sides." This is not so thorough a test as the plotting, because it checks only the angles taken and...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 167 Seiten
...an isosceles triangle. LE 8 118. Corollary 1. All the interior angles of a closed rectilineal figwe together with four right angles are equal to twice as many right angles as the figure has sides. Let ABCDE... represent any rectilineal figure. Take a point P within the figure. Join P to each...
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Plane Trigonometry

S. L. Loney - 1893
...regular decagon. The corollary to Eue. I. 32 states that all the interior angles of any rectilinear figure together with four right angles are equal to twice as many right angles as the figure has sides. Let the angle of a decagon contain x right angles, so that all the angles are together equal...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...to BC ; show that AE is equal to AD. (12.) 9. 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. A five sided figure has four equal angles, and the fifth angle equals a half of one of the four...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...the triangles are equal in all respects. 3. Show that all the interior angles of any rectilineal 7 figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 4. Parallelograms on equal bases, and between the 18 same parallels, are equal in area. 5. The...
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Plane and Solid Geometry

James Howard Gore - 1898 - 210 Seiten
...exterior angles is equal to twice as many right angles as the figure has sides. But by (125) the interior angles are equal to twice as many right angles as the figure has sides, less four right angles. Therefore the exterior angles alone are equal to four right angles....
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bücher 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 Seiten
...with the angles at F, which are equal to four right angles. I. 15, Cor. Therefore all the interior angles of the figure, together with four right angles,...equal to twice as many right angles as the figure has sides. QEI>. COROLLARY 2. If the sides of a rectilineal figure, which has no re.entrant angle, are...
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Engineering Drawing and Design (A Text-book Of): Including Practical ...

Sidney Herbert Wells - 1900
...depends upon Corollary I. of Euclid i., 32, which says that " the interior angles of any straight lined figure together with four right angles are equal to twice as many right angles as the figure has sides." The most common of the regular polygons used in engineering designs are the pentagon (five-sided),...
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Manual

1903
...only one. So also of questions 3 and 3 A.] 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. A BCD is a quadrilateral figure, and the angles at A, B, C and D are bisected. Straight lines...
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