Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . oints must be joined by freehand curved lines to indicate theelevation of the common section Hues. In Fig. 100 is shown what is called the development of the surfaces of the prismof Fig. 99, in order to show what the section lines on those surfaces appear long lines marked ACBDA are set up at distances from each other equalto the width of the faces of the prism. Then the straight lines which were drawn SIMPLE CASES OF IXTERPEXETRATIOXS OF SOLIDS 103 upon those faces in
Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . oints must be joined by freehand curved lines to indicate theelevation of the common section Hues. In Fig. 100 is shown what is called the development of the surfaces of the prismof Fig. 99, in order to show what the section lines on those surfaces appear long lines marked ACBDA are set up at distances from each other equalto the width of the faces of the prism. Then the straight lines which were drawn SIMPLE CASES OF IXTERPEXETRATIOXS OF SOLIDS 103 upon those faces in Fig. 99 are drawn at their proper distances from each other,taken from the rabatted end and numbered. The distances of the points of inter-section on all these lines and upon the edges ACBD are now taken from the eleva-tion in the figure, and joined by freehand curves, thus marking the exact way inwhich each face has been penetrated by the surface of the cylinder. In a similar way the curved surface of the cylinder may be develoi)cd and the intersection lines upon its surface shown. The circumference of the end. Fig. ioi. is laid out as a straight line, and pcri)cndiculars are made from it to representgenerators. These are cut at heights taken from the elevation in the figure andthen the points so found are joined by curved lines, showing the way inwhich the surface has been cut. A further illustration of development is given in Fig. loi, where it will beseen that the circular base of the solid is laid out as well as the cuned surface,and the intersection lines made on them are displayed. For convenience thecurved surface is divided into twelve equal parts. One-twelfth of the circum-ference of the base, that between 7 and S in the plan. is. by an approximate 104 DESCRIPTIVE GEOMETRY method, found to be equal to the tangent marked 76. The method is, to makethe hne from point 7 through the centre to a, equal to three times the radius of thecircle, and from a to draw ab th
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Keywords: ., bookcentury1900, bookdecade1910, bookpublisheretcetc, bookyear191
