Calendar: 1887-1888 Page 685

APPLIED SCIENCES 689 ABC is an obtuse angle and is point within it Determine position of when AB 33 BC 15 ABC 160 ABX 65 iftfX 37 State the lengths of AX BX and CX Three rectangular blocks each long and having square ends of 36 side all lie on oblong faces rests on ground one of its long sides being at 30 with χ and sloping from us to the right Β rests on one of its long sides being at 45 with χ and sloping from us to the left rests on one of its long sides being at 60 with χ and sloping from lis to the right The centres of the solids are in the same vertical line Scale to Γ Represent in eleva- tion the form of section that would result from vertical plane parallel to and passing through the centres of the blocks Draw scale of ψ to 1Λ What are the lengths accord- ing to this scale of two lines respectively 34 and 788 actual size block of wood 5" long 3" wide and ψ thick has one of its long faces inclined 58 to and its lowest edge rests on and is at 25 with It has depression in it 3" long 1" wide and ψ deep Draw it in plan and elevation Construct an irregular 5-sided figure under the following conditions The base AB is 65 long J5Cand CD are each Γ5 long DE and each 25 long Diagonals AC and AD each 25 long Construct similar figure on base ι 'a Construct scale fe s1"ze t0 show not less than 30' Construct triangle by this scale having its sides respectively 14 18 י" and 23 An obelisk has square base of 2' 11" side Its pyramidal top is 18 square and 10" high the total height of the obelisk being Represent it in plan and elevation when one edge of the base rests on the ground at angle of 90 with and one of the faces of the obelisk is vertical plane perpen- dicular to and at 45 with cuts the axis from χ χ