Examination Papers for Science Schools and Classes (Paperback)

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1886 Excerpt: ...are to be pricked ol-tenting thus marks will be dedv r. Second Stage or Advanced Examination. Instructions. Read the General Instructions at the head of the Elementary paper. Only eight questions are to be attempted. B. Plane Geometry. 21. Divide the given line A into two parts, such that the sum of the squares upon them shall be equal to the square on the given line B. State what limitations are necessary as to the length of B in order that the problem may be possible. (16.) 22. Two bars Oia, 036, are pivoted at Oi and Oj respectively. At i they pass through a saddle which can travel along Oia at fths the speed at which it can move along OJ, . Trace the locus of i. What is this curve? (20.) 23. Describe a circle 4' in diameter. Suppose this circle to be given to you on the paper, and that you have only a pencil and a ruler with two parallel edges li" apart; show how the centre of the circle can be obtained. (16.) Solid Geometry. 24. Given two parallel lines, a'b', ab; c'd', cd; determine their distance apart. (18.) 25. a is the plan of a point lying in the given plane vt, ht. Through a draw a line in the given plane vt, ht, parallel to the given plane 60c. (18.) 26. Determine the intersection of the three given planes A, B, and cOrf. (Unit 0-1.") (20.) 27. oo is a portion of the base of a right cone standing on the horizontal plane; -M is the vertex. The portion abed on plan is to be covered with paper. Determine the shape to which the paper must be cut. (Unit 0-1.") (22.) 28. Given a point 1" 25" from the horizontal plane, and 1" from the vertical plane, obtain the projections of a line 4'25" long passing through the given point, and terminated by the planes of projection. What conditions as to the length of the line...