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" Show that the perimeter p of a regular polygon of n sides inscribed in a circle of radius R... "
Science Examinations ... Reports, Etc - Side 245
1906
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The British Annals of Education for ...: Being The Scholastic ..., Volumer 1-2

1844 - 688 sider
...the equation/ (m)/(w)=/(m+n), where f(m) represents the series and ni and n are general symbols. 2. Find the area of a regular polygon of (n) sides inscribed in a circle. Deduce the area of a circle. 3. Find the minimum value of xt+yz+zt, if xyz fulfil the conditions <Ke+by+cz=lt...
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First Books on Plane Trigonometry ...

George Wirgman Hemming - 1851 - 176 sider
...the sides of ABC. Shew that the area of the new triangle area of ABC " . A . B . C Ssm-jj-sm-sm11. The area of a regular polygon of n sides inscribed in a circle is to the area of another of 3w sides in the same circle as 1 : k. Shew that the angle which a side...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1852 - 344 sider
...other angular points. 298. Find the product of all the lines that can be drawn from one of the angles of a regular polygon of n sides, inscribed in a circle of radius a to the other angles. Solve the equations 299. xí — 6x=4. 300. ж' — 147* — 343 = 0. 301. ж'...
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The Elements of Plane Trigonometry

James Hann - 1854 - 140 sider
...— a cosec cosec • Л 2 я я rl 180° 180° 180° - a cot cos — cosec cos 2 я я я n 30. To find the area of a regular polygon of n sides inscribed in a circle. The polygon is composed of as many triangles as there are sides of the figure : 180° 180° area of...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 330 sider
...other angular points. 10. Find the product of all the lines that can be drawn from one of the angles of a regular polygon of n sides, inscribed in a circle of radius a to the other angles. Ex. 22. Solve by Trigonometry the equations — 1. xl — bx—if. 2. #' —...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 sider
...BAC are respectively 54°3(y, and 65°30' ; find the breadth of the river. 14. Find an expression for the area of a regular polygon of n sides inscribed in a given circle ; and show that the square of the side of the inscribed pentagon is equal to the sum of...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 sider
...4-4030862. log 25299 = 4-4031034. Leos 26° 33' 54" = 9-9515452. L tan 26° 33' 54" = 9-6989700. 11. Find the area of a regular polygon of n sides inscribed in a circle of radius K. Find by the aid of logarithmic tables the area of a regular polygon of 11 sides inscribed in a circle...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 sider
...(2) area of triangle = ./s(s— a) (s—b) (s — c) ; 56 EXAMINATION PAPERS. 4. Find the perimeter of a regular polygon of n sides inscribed in a circle of radius r. Shew that the area of the rectangle contained by two lines equal to the sides of the squares inscribed...
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Introduction to Plane Trigonometry

Thomas Grenfell Vyvyan - 1882 - 150 sider
...eosec— . Si A SB n 14. The area of a regular polygon of n sides, one of whose sides is a, is . 2 n 15. The area of a regular polygon of n sides, inscribed in a circle of ... . n , . 2ir radius r, IB 5 7-'8IH — . 16. If the radius of the earth, supposed spherical, be...
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The Practical Teacher, Volum 2

1883 - 654 sider
...the area ol a regular polygon of 24 sides inscribed in a circle, the radius of which is one foot In a regular polygon of n sides inscribed in a circle of radius r, 32. WHG— (a) Right style — high percentage. (¿) Most probably. 33. PUPIL TEACHER. — The trade...
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