Mechanical Integrators Including the Various Forms of Planimeters
Mechanical Integrators Including the Various Forms of Planimeters
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Therefore, adopting the same notation as hitherto used, motion of m _27rr)i ^ __y motion of . \l A x K which proves that the area of the curve may be measured by any device, on the principle of Fig. 28. It may be shown in the same way as on p. 18, that the re- sult is similar if the sphere rolls upon the arc of a circle, about any center as T, instead of along the straight line OX. Planimeters of this kind have been con- structed by Mr. Hohmann and Professor Amsler. In both cases only portions ...of the whole surface of a sphere have been employed, and the motion is given by means of an axis, instead of by rolling the spherical surface upon the diagram. In Mr. Hohmann 's planimeter, shown in plan and elevation, Fig. 29, the concave surface M is used. Rotation is given to SECTIONAL ELEVATION 79 this by means of an axis gr/, an enlarged portion of which (r) rolls npon a cii'cular metal path R. The pole-arm P turns about a center r, and so causes the rolling circle of the measuring roller iit to ^'ary according to the foregoing principles.
What to read after Mechanical Integrators Including the Various Forms of Planimeters?
You can find similar books in the "Read Also" column, or choose other free books by Henry S H Henry Selby Hele Shaw to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Therefore, adopting the same notation as hitherto used, motion of m _27rr)i ^ __y motion of . \l A x K which proves that the area of the curve may be measured by any device, on the principle of Fig. 28. It may be shown in the same way as on p. 18, that the re- sult is similar if the sphere rolls upon the arc of a circle, about any center as T, instead of along the straight line OX. Planimeters of this kind have been con- structed by Mr. Hohmann and Professor Amsler. In both cases only portions ...of the whole surface of a sphere have been employed, and the motion is given by means of an axis, instead of by rolling the spherical surface upon the diagram. In Mr. Hohmann 's planimeter, shown in plan and elevation, Fig. 29, the concave surface M is used. Rotation is given to SECTIONAL ELEVATION 79 this by means of an axis gr/, an enlarged portion of which (r) rolls npon a cii'cular metal path R. The pole-arm P turns about a center r, and so causes the rolling circle of the measuring roller iit to ^'ary according to the foregoing principles.
What to read after Mechanical Integrators Including the Various Forms of Planimeters?
You can find similar books in the "Read Also" column, or choose other free books by Henry S H Henry Selby Hele Shaw to read onlineMoreLess
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