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" add up to twice as many Right angles as the figure has sides, less four. "
The Harmony of the World - Síða 41
eftir Johannes Kepler - 1997 - 549 síður
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 420 síður
...Zs (n — 2) = 2n rt. Zs — 4 rt. Z s. Therefore, the sum of the angles of a polygon is also equal to twice as many right angles as the figure has sides, less four right angles. 149. COR. 2. The sum of the angles of a quadrilateral is equal to two right angles taken...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 418 síður
...rt. Zs (n - 2) = 2» rt. Zs - 4 rt. Z s. Therefore, the sum of the angles of a polygon is also equal to twice as many right angles as the figure has sides, less four right angles. 149. COR. 2. TJie sum of the angles of a quadrilateral is equal to two right angles taken...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - 1890 - 252 síður
...Сor. 1). Hence the angles of a regular polygon are each equal to the quotient obtained by dividing twice as many right angles as the figure has sides, less four right angles, by the number of sides : —Thus, for a regular pentagon, or five.sided figure, all the...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1891 - 424 síður
...rt. Zs (n - 2) = 2n rt. Zs - 4 rt. Zs. Therefore, the sum of the angles of a polygon is also equal to twice as many right angles as the figure has sides, less four right angles. 149. COB. 2. The sum of the angles of a quadrilateral is equal to two right angles taken...
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The Field Practice of Laying Out Circular Curves for Railroads

John Cresson Trautwine - 1893 - 204 síður
...together all the internal angles, marked by dotted portions of circles, and subtract their sum from twice as many right angles as the figure has sides, less four, for the angle db e. Example.—Let the angles denoted by the dotted arcs at the different letters be...
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Plane Geometry

George D. Pettee - 1896 - 272 síður
...adj. 4] .-. BO = DO AO = CO Proposition XXX 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. ED Prove A + B + C, etc. = (2 n - 4) rt. A Draw diagonals from one vertex....
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 síður
...sides in more than two points. PROPOSITION XVI. THEOREM 66. The sum of all the angles of any polygon is twice as many right angles as the figure has sides, less four right angles. Given ABCDE, any polygon, having n sides. To PROVE—the sum of its angles is in —...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 574 síður
...sides in more than two points. PROPOSITION XVI. THEOREM 66. The sum of all the angles of any polygon is twice as many right angles as the figure has sides, less four right angles. GIVEN ABCDE, any polygon, having n sides. To PROVE—the sum of its angles is 2« —...
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Elements of Geometry, Hluti 1

Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 síður
...sides in more than two_points. PROPOSITION XVI. THEOREM 66. The sum of all the angles of any polygon is twice as many right angles as the figure has sides, less four right angles. GIVEN ABCDE, any polygon, having n sides. To PROVE—the sum of its angles is in —...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 374 síður
...in more than two points. PROPOSITION XVI. THEOREM 6'tT. The sum of all the angles of any polygon is twice as many right angles as the figure has sides, less four right angles. GIVEN ABCDE, any polygon, having n sides. To PROVE—the sum of its angles is 2n—i,...
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