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" We have next to define the use to be made of the word twist. A body is said to receive a twist about a screw when it is rotated uniformly about the screw, while it is... "
A Treatise on the Theory of Screws - Seite 7
von Robert Stawell Ball - 1900 - 544 Seiten
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The Quarterly Journal of Pure and Applied Mathematics, Band 12

1873 - 428 Seiten
...screw when it is rotated about the screw through the angle of twist, and is at the same time translated parallel to the screw through a distance equal to the product of the pitch, and the angle of twist expressed in circular measure. If the pitch be zero, the twist is a pure rotation ;...
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Proceedings of the Royal Irish Academy

Royal Irish Academy - 1874 - 1136 Seiten
...when it is rotated about the screw througli the aityle of twist, and is at the same time translated parallel to the screw, through a distance equal to the product of the pitch and the angle of ticist expressed in circular measure. If the pitch be zero the twist is <i pure rotation ;...
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The Theory of Screws: A Study in the Dynamics of a Rigid Body

Robert Stawell Ball - 1876 - 232 Seiten
...receive a twist about a screw when it is rotated about the screw, while it is at the same time translated parallel to the screw, through a distance equal to...and the circular measure of the angle of rotation ; hence, The canonical form to which the displacement of a rigid body can be reduced is a twist about...
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MathAnnalen, Band 9

Alfred Clebsch, Carl Neumann, Felix Klein, Adolph Mayer, David Hilbert, Otto Blumenthal, Albert Einstein, Constantin Carathéodory, Erich Hecke, Bartel Leendert Waerden, Heinrich Behnke - 1876 - 596 Seiten
...receive a twist about a screw when it is rotuted about the screw, while it is at the same time translated parallel to the screw, through a distance equal to...product of the pitch and the circular measure of the äugle of rotation; hence The canotiical form to which the displacement of a rigid body can be reduced...
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An Elementary Treatise on Kinematics and Dynamics

James Gordon MacGregor - 1887 - 540 Seiten
...displacement about it he calls the pitch of the screw. A rotation about a screw accompanied by a translation parallel to the screw through a distance equal to the product of the pitch and the angular displacement he calls a twist about a screw. 246. A twist about a screw is thus the most general...
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An Elementary Treatise on Kinematics and Dynamics

James Gordon MacGregor - 1887 - 540 Seiten
...displacement about it he calls the pitch of the screw. A rotation about a screw accompanied by a translation parallel to the screw through a distance equal to the product of the pitch and the angular displacement he calls a twist about a screw. 246. A twist about a screw is thus the most general...
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A Treatise on the Theory of Screws

Robert Stawell Ball - 1900 - 586 Seiten
...uniformly about the screw, while it is translated uniformly parallel to the screw, through a distance eqmil to the product of the pitch and the circular measure...Geometrical Investigation. We can now demonstrate thai whenever a body admits of an indefiniu-lj small movement of a continuous nutiiru it must be capable...
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A Treatise on the Theory of Screws

Robert Stawell Ball - 2006 - 590 Seiten
...kinematical significance. It is, therefore, essential that in the formal definition of the particidar sense the word screw is to bear in this volume no...of movement denoted by a twist about a screw. Let At be a standard position of the body, and let P be any marked point of the body initially at P,. As...
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MathAnnalen, Band 9

Alfred Clebsch, Carl Neumann, Felix Klein, Adolph Mayer, David Hilbert, Otto Blumenthal, Albert Einstein, Constantin Carathéodory, Erich Hecke, Bartel Leendert Waerden, Heinrich Behnke - 1876 - 658 Seiten
...receive a twist about a screw when it is rotated about the screw, while it is at the same time translated parallel to the screw, through a distance equal to...and the circular measure of the angle of rotation; hence Tlie canonical form to which the displacement of a rigid body can be reduced is a twist about...
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