Calendar: 1880-1881 Page 674

674 APPLIED SCIENCES Two lines each 25 long meet each other in point above the their lower extremities resting upon the ground Draw from point third line of the same length at right angles to both 10 line on the at 35 to xy is the horizontal trace of plane inclined at 40 find the vertical trace of the plane 11 The Η and ν traces of plane are both inclined at 40 to xy What is the inclination of the plane 12 Any two planes oblique to both planes of projection are to be so placed as to intersect each other within the limits of your paper Show the line of intersection and its true inclination 13 An equilateral triangle of 25" edge is the base of an irregular pyramid One sloping face is inclined at 40 and second at 60 find the apex and write down the height of it above the 14 The diagonals of one face of cube of 25 edge are inclined at 30 and 40 respectively Show the cube in plan and elevation 15 cylinder 2" diameter 4" long lies on the ground plane its axis being inclined at 45 to the vertical plane similar cylinder with its axis vertical touches the first midway between its ends Show plan and elevation 16 Rays of light are so arranged as to throw the shadow of the vertical cylinder across the horizontal one Show the shadow of both י 17 Three spheres are clustered round cone and touch it all the solids rest on the and two of the spheres are in contact with each other The cone has base of 75 diameter and an axis of The spheres are respectively Γ5 and diameter Show plan and elevation 18 Show their shadows Rays at pleasure 19 right hexagonal prism the short and long edges Γ and respectively axis vertical is cut by plane whose traces are each inclined at 45 to xy Show true form of section