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. 1881 Excerpt: ...its plan and show the section formed by a vertical plane which passes through two opposite corners of the plan. 10. Draw the plan of a right pyramid, whose base is a hexagon of 1.25" side, and its axis 3.25" when it stands upright on a it.P. Give the section by a V.P. which cuts off half one edge and quarter of the next (measuring downwards from the vertex). 11. A parallelogram was given as the plan of a pentagonal prism, with one face on the S.P. The elevation was not given, but of course this could easily be obtained from the five paralled horizontal edges of the prism. This plan was intersected by a line ST at an angle of about 60 with its long edges. Draw a sectional elevation on the line ST. # The plane would be vertical, and ST would form a portion of its H. T. The projection of either portion on to this plane of section must therefore be an elevation. 12. Referring to Problem 6, at the end of Chapter vi., show the real form of the section made by a horizontal plane bisecting the axis when the solid is so inclined. 13. A right prism whose ends are hexagons of 1.25" side, and whose edges are 4" long, lies with one face on the horizontal plane. It is cut into two equal portions by a vertical plane which makes an angle of 40 with its edges. Show the plan of one of these halves when resting on its section end. 14. A cylinder has for its base a circle of 3" diameter, and its axis is inclined 37". Show the true form of the section made by a plane parallel to the H.T. of the cylinder. 9 The cutting plane would be horizontal. CHAPTER XV. LINES AND PLANES. Problem LXV.--To find the angle contained by two given straight lines meeting each other, their projections 'being given. Knowing that these two lines can lie in one plane, and ...
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