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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. "
A text-book of engineering drawing and design - Seite 22
von Sidney Herbert Wells - 1905
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Plane Geometry

George D. Pettee - 1896 - 272 Seiten
...[alt. int. A (||s)] POLYGONS PROPOSITION XXX 43 111. Theorem. The sum of the angles of a polygon is equal to twice as many right angles as the figure has sides, less four right angles. Appl. Cons. Dem. i> Prove A + B + C, etc. = (2 n — 4) rt. Draw diagonals...
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Plane and Solid Geometry

James Howard Gore - 1898 - 232 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. QED EXERCISES....
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Engineering Drawing and Design (A Text-book Of): Including Practical ...

Sidney Herbert Wells - 1900 - 202 Seiten
...triangle of which each base angle is known. ) EX. 15. — The diagonals of a parallelogram are 2£" and 4J* long, they contain an angle of 61°. Construct...pentagon (five-sided), hexagon (six-sided), and octagon (eight-sided). Pentagon. — Suppose we require to construct a pentagon of 2^" side. All the interior...
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A Text-book of Euclid's Elements for the Use of Schools. Books I ..., Bücher 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 Seiten
...Robert Simson, who edited Euclid's text in 1756. COROLLARY 1. All the interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides. Let ABODE be any rectilineal figure. Take F, any point within it, and join F to each of the angular...
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Land Surveying and Levelling

Arthur Thomas Walmisley - 1900 - 344 Seiten
...of all the interior angles of any rectilineal figure, together with four right angles, are together equal to twice as many right angles as the figure has sides. In a traverse survey the number of stations should be as few as possible, and as much care should be...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

1902 - 940 Seiten
...that LP is less than LM. 3. Prove that the sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, diminished by four right angles. 14. ABC is an equilateral triangle in which AD is drawn perpendicular...
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Surveying, as Practiced by Civil Engineers and Surveyors ...: Intended as a ...

John Whitelaw - 1902 - 636 Seiten
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is equal to twice as many right angles as the figure has sides, less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the interior...
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Manual

1903 - 896 Seiten
...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 are drawn...
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Elementary Plane Geometry: Inductive and Deductive

Alfred Baker - 1903 - 154 Seiten
...From the result reached in the previous question, show that all the interior angles of any polygon are equal to twice as many right angles as the figure has angles (or sides), less four right angles. 5. How many right angles is the sum of all the angles in...
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Mathematics, mechanics, heat

American School (Lansing, Ill.) - 1903 - 390 Seiten
...ABCDEF oe the given polygon. To prove that the sum of the interior angles A, B, C, D, E, and F, is equal to twice as many right angles as the figure has sides minus two. If from any vertex as A, diagonals AC, AD, AE, are drawn, the polygon will be divided into...
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