...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...

...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...

...— 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...

...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...

...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...

...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,...

...how far P is from Q, and how far each of them is from A and from B. (35.) 51 . Find an expression for the area of a regular polygon of n sides inscribed in a given circle. Six equal circles, of radius a, are placed so that each touches two others, their centres...

...(be + ad)_(ac + bd) ь " 4 V(s - a) (s - b) (s - c) (s.- d) ' 161. To find the length of the side and the area of a regular polygon of n sides inscribed in a circle. » M в Let AB be the side of a regular polygon of и sides А В С D ... inscribed in a circle whose...

...proportional between the areas of the regular inscribed and circumscribed polygons of n sides. 14. The area of a regular polygon of n sides inscribed in a circle is to that of the same number of sides circumscribing the same circle as 3 is to 4. Find the value...

...— = — — j . 8. If in a triangle 8^2=a2+62+c2, prove that one of the angles is a right angle. 9. The area of a regular polygon of n sides inscribed in a circle is three-fourths of the area of the circumscribed regular polygon with the same number of sides : find...