A Treatise On the Theory of Screws
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In our eReader you can find the full English version of the book. Read A Treatise On the Theory of Screws Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Treatise On the Theory of Screws
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Hence we learn that 6 must intersect the axis of z at right angles. 6 is thus parallel to the plane of xy at a distance d ei = d ez = z, and accordingly we have the equations ( p g a) cos X z sin X = 0, (p 6 b) cos /j. Z sin /u, = 0, 215] FREEDOM OF THE FOURTH ORDER.
whence eliminating z and observing that X //, = 90 we obtain, p d = a cos 2 X + 6 sin 2 X, and eliminating p e, (b a) sin X cos X = z. If we desire the equation of the surface we have y = x tan X, and hence finally 225 Thus again w...e arrive at the well-known equation of the cylindroid.
We can also prove in the following manner the fundamental theorem that among the screws belonging to any two-system there are two which intersect at right angles ( 13).
Let 6 be any screw of the two-system, and accordingly the six co-ordinates of 9 must satisfy four linear equations which may be written If be a screw which intersects 6 at right angles, then we must also have inasmuch as these screws are reciprocal as well as rectangular.
From these six equations O l, ...
What to read after A Treatise On the Theory of Screws?
You can find similar books in the "Read Also" column, or choose other free books by Robert S Robert Stawell Ball to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Hence we learn that 6 must intersect the axis of z at right angles. 6 is thus parallel to the plane of xy at a distance d ei = d ez = z, and accordingly we have the equations ( p g a) cos X z sin X = 0, (p 6 b) cos /j. Z sin /u, = 0, 215] FREEDOM OF THE FOURTH ORDER.
whence eliminating z and observing that X //, = 90 we obtain, p d = a cos 2 X + 6 sin 2 X, and eliminating p e, (b a) sin X cos X = z. If we desire the equation of the surface we have y = x tan X, and hence finally 225 Thus again w...e arrive at the well-known equation of the cylindroid.
We can also prove in the following manner the fundamental theorem that among the screws belonging to any two-system there are two which intersect at right angles ( 13).
Let 6 be any screw of the two-system, and accordingly the six co-ordinates of 9 must satisfy four linear equations which may be written If be a screw which intersects 6 at right angles, then we must also have inasmuch as these screws are reciprocal as well as rectangular.
From these six equations O l, ...
What to read after A Treatise On the Theory of Screws?
You can find similar books in the "Read Also" column, or choose other free books by Robert S Robert Stawell Ball to read onlineMoreLess
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