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" The interior angles of an irregular polygon are in arithmetical progression ; the least angle is 120°, and the common difference 5°. Find the number of sides. "
A Treatise on Algebra - Page 402
by James Edward Oliver, Lucien Augustus Wait - 1887 - 412 pages
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New Series of The Mathematical Repository, Volume 3

Thomas Leybourn - Mathematics - 1814 - 420 pages
...January, 1811, BY THE TWO MODERATORS, MONDAY, JAN. 14, 1811. MORNING PROBLEMS. — Mr. TURTON. » 1 . The interior angles of a rectilinear figure are in...progression; the least angle is 120°, and the common differ, ence ,5°. Required the number of sides. 2. Given the radii of two spheres, and the line joining...
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

Mathematics - 1821 - 464 pages
...— — multiplied into BC* 1811. g Morning Problems. — Mr. TURTON. MONDAY, JANUARY 14, 1811. 1. THE interior angles of a rectilinear figure are in...least angle is 120°, and the common difference 5°. Required the number of sides. 2. Given the radii of two spheres, and the line joining their centers...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...progression, and the common difference is 10". Required the angles. 87. The interior angles of a rectilineal figure are in arithmetic progression ; the least angle is 120°, and the common difference 5°. Required the number of sides. 88. The angles of a polygon of 16 sides are in arithmetic progression,...
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A Treatise on Plane and Spherical Trigonometry ...

Thomas Grainger Hall - Trigonometry - 1848 - 192 pages
...degrees in an angle, of which the circular measure is .7854; the value of тг being 3.1416. Ex. 9. The interior angles of a rectilinear figure are in...least angle is 120°, and the common difference 5°. Required the number of sides. Ex. 10. The angles in one regular polygon are twice as many as in another...
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Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851 - 382 pages
...find the interior angle in each. 12. The interior angles of a rectilineal figure are in AP, the least is 120°, and the common difference 5°: find the number of sides. 18. In equal circles (Eue. vi. 33) 'the angles at the centre are proportional to the arcs which subtend...
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Elementary Trigonometry ...

T. Percy Hudson - Trigonometry - 1862 - 218 pages
...have. Ans. Eight and twelve. . 15. The interior angles of an irregular polygon are in arithmetical progression ; the least angle is 120° and the common difference 5°. Find the number of sides. Ans. 16 or 9 sides. . 16. The number of grades in an angle of a regular polygon is to the number of...
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 pages
...required to complete the pile ? 9. The interior angles of an irregular polygon are in arithmetical progression ; the least angle is 120°, and the common difference 5°. Find the number of sides. 10. An estate which has been surveyed is 100000000 times as large as the map which has been made of...
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Mathematical Exercises ...

Samuel H. Winter - 1867 - 472 pages
...15. How many shot are required to complete the pile ? arithmetical progression ; the least a:i:rle is 120°, and the common difference 5°. Find the number of sides. 10. An estate which has been surveywd is 100000000 times as large as the map which has been made of...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...z) (z -\- х) (х -\- у), and find the other factor. 6. The interior angles of an irregular polygon are in arithmetic progression ; the least angle is...common difference 5° ; find the number of sides. 6. 0 is a fixed point, and P is a point which moves on a fixed straight line ; in the straight line...
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A treatise on elementary trigonometry. [With] Key, by H. Carr

John Bascombe Lock - 1882 - 378 pages
...number of radians in the smallest angle. (30) The interior angles of an irregular polygon are in A. p. ; the least angle is 120°; and the common difference 5° : find the number of sides. CHAPTER V. THE TBIGONOMETRICAL RATIOS. 73. Let ROE be any angle (see the figure in Art. 83). In one...
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