Show the acym regular polygon may be divided saaria Pungles. For what polygon are 2o Show the the sum of all the angles of a polygon *****g the sides either in magnitude long as their number remains the ular polygon of any num ན་ ༢། ་ང་ Now a calar polygon of double the numar a sciamo à annstructed. e mass by which the area of any wige my dream an equivalent rectangle. Para garden, which is Agnese become exactly four may at the boundary? 16 Can a orde de mate which shall have its circumference ezzela equal so se dicembrences of two her given ordies maken gether? If so, shew how it may be done. If the area of one circle be nine times that of ather, what is the ratio of their diameters? (18) Describe a circle whose circumference shall be exact.) twice the circumference of a given circle. 電料 (19) Describe a circle whose areu shall be exactly e area of a given circle. Shew that the areas of circles are to one an : squares inscribed in them. ew that all regular polygons of the same essarily similar. (22) The corresponding sides of two similar polygons are in the ratio of a side of a square to its diagonal; find the ratio of the areas of the polygons. (23) If in any circle four radii be drawn at right angles to one another, and with each of these four radii as diameters circles be described within the former, shew that the areas of the four circles are together equal to that of the original circle. (24) From a given polygon cut off a similar polygon whose area shall be one-fourth of the original one. (25) Shew how the square may be found which is equal to any given polygon. END OF PART I. |