Treatise on natural philosophy . wai-ped by torsion; that is to say, lines in which it is cut bya series of parallel planes, each perpendicular to the axis, orlines for Avhich 7 (§ 706) has different constant values. Theselines are [§ 707 (28)] equilateral hyperbolas in this case. The 25-t ABSTRACT DYNAMICS. [708. Contourlin<8 of nor-mal sectionof triangu-lar priHiii, aswarpjd bytorbion. Dincrram ofSt Venantscurvilinearsquares forwliicb tor-sion prob-lem isbolvuljlti. arrows indicate the direction of rotation in the part of theprism above the plane of the diagram. (2) E<iuilateral triang


Treatise on natural philosophy . wai-ped by torsion; that is to say, lines in which it is cut bya series of parallel planes, each perpendicular to the axis, orlines for Avhich 7 (§ 706) has different constant values. Theselines are [§ 707 (28)] equilateral hyperbolas in this case. The 25-t ABSTRACT DYNAMICS. [708. Contourlin<8 of nor-mal sectionof triangu-lar priHiii, aswarpjd bytorbion. Dincrram ofSt Venantscurvilinearsquares forwliicb tor-sion prob-lem isbolvuljlti. arrows indicate the direction of rotation in the part of theprism above the plane of the diagram. (2) E<iuilateral triangularprism. — The contour linesare shown as in case (1);the dotted curves being thosewhere the warped sectionfalls below the plane of thediagram, the direction ofrotation of the part of theprism above the plane be-ing indicated by the beatarrow. (3) This liagram shows the series of lines represented by(34) of § 70/, with the indicated values for a. It is remarkable.


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Keywords: ., bookcentury1900, bookdecade1910, booksubjecttides, bookyear1912