Elements of Descriptive Geometry With Its Applications to Spherical Projection
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To quickly assess the difficulty of the text, read a short excerpt:
(40), or (41).
THE HELICO1D.
92. If a right line be moved uniformly along another right line, as a directrix, always making the same angle with it, and at the same time having a uniform angular motion around it, a warped urface will be generated, called a Helicoid.
The rectilinear directrix is the axis of the surface. Thus, Fig, 48, let the horizontal plane be taken perpendicular to the axis, o being its horizontal, and o'n' its vertical projection, and lot OP be the generatrix, parallel to the... vertical plane.
DESCRIPTIVE GEOMETRY. 53 It is evident from the nature of the motion of the generatrix, that each of its points will generate a helix, Art. (68). That gen- erated by the point P, constructed as in Art. (68), will be hori- zontally projected in prq, and vertically in p'r'q 1 .
To assume a rectilinear element of the surface, we first assuru its horizontal projection, as ox. Through x erect the perpendicu- lar xx', and from o' lay off the distance o'o", equal to x'x"\ o"x' will be the required vertical projection.
What to read after Elements of Descriptive Geometry With Its Applications to Spherical Projection?
You can find similar books in the "Read Also" column, or choose other free books by Albert E Albert Ensign Church to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(40), or (41).
THE HELICO1D.
92. If a right line be moved uniformly along another right line, as a directrix, always making the same angle with it, and at the same time having a uniform angular motion around it, a warped urface will be generated, called a Helicoid.
The rectilinear directrix is the axis of the surface. Thus, Fig, 48, let the horizontal plane be taken perpendicular to the axis, o being its horizontal, and o'n' its vertical projection, and lot OP be the generatrix, parallel to the... vertical plane.
DESCRIPTIVE GEOMETRY. 53 It is evident from the nature of the motion of the generatrix, that each of its points will generate a helix, Art. (68). That gen- erated by the point P, constructed as in Art. (68), will be hori- zontally projected in prq, and vertically in p'r'q 1 .
To assume a rectilinear element of the surface, we first assuru its horizontal projection, as ox. Through x erect the perpendicu- lar xx', and from o' lay off the distance o'o", equal to x'x"\ o"x' will be the required vertical projection.
What to read after Elements of Descriptive Geometry With Its Applications to Spherical Projection?
You can find similar books in the "Read Also" column, or choose other free books by Albert E Albert Ensign Church to read onlineMoreLess
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