0420 



Theory of Screws 



0420 



Velocities, total, and radial component, rela- 

 tion between curvatures of graphs for. Bre- 

 glia, E. Q. Mt. 30 (1892) 344-. 



of any order of plane similarly variable 

 system. Mehmke, R. Giving. 29 (1883) 

 487-. 



higher orders of invariable systems. 

 Spath, F. Mh. Mth. Ps. 2 (1891) 433-. 



Velocity and acceleration planes, application of 



graphic kinematics. Mohr, . Giving. 33 



(1887) 631-. 

 Walking and grazing of quadrupeds. Walton, 



W. QJ. Mth. 5 (1862) 377-. 

 Wickerwork, jointed, systems, and their degrees 



of internal freedom. Larmor, J. Camb. Ph. 



S. P. 5 (1886) 161-. 



THEOEY OF SCEEWS. 

 (See also 1240.) 



Lehmus, . Crelle J. 4 (1829) 202-. 



(1st memoir.) Ball, E. S. [1871] Ir. Ac. T. 



25 (1872) 157-. 

 (2nd memoir. Application to dynamics of 



rigid body.) Ball, R. S. [1873] (ix) Phil. 



Trans. 164 (1874) 15-. 



(3rd memoir. Screw coordinates, and applica- 

 tion to dynamics of rigid body.) Ball, R. S. 



[1874] Ir. Ac. T. 25 (1875) 295-. 

 (4th memoir. Extension to dynamics of any 



material system.) Ball, R. S. [1881] Ir. 



Ac. T. 28 (1880-86) 99-. 

 (5th memoir. Problems in dynamics of rigid 



system moving in elliptic space.) Ball, R. S. 



[1881] Ir. Ac. T. 28 (1880-86) 159-. 

 (6th memoir. Dynamics and modern geometry.) 



Ball, (Sir) R. S. [1886] Ir. Ac. Cunning- 

 ham Mm. 4 (1887) 44 pp. 

 (7th memoir. Plane sections of the cylindroid.) 



Ball, (Sir) R. S. [1887] Ir. Ac. T. 29 



(1887-92) 1-. 

 (8th memoir. Plane geometry illustrating 



motion with 3 degrees of freedom.) Ball, 



(Sir) R. S. [1888] Ir. Ac. T. 29 (1887-92) 



247-. 

 (9th memoir. Permanent screws.) Ball, (Sir) 



R. S. [1890] Ir. Ac. T. 29 (1887-92) 613-. 

 (10th memoir. Pitch invariants and chiastic 



homography.) Ball, (Sir) R. S. [1894] Ir. 



Ac. T. 30 (1892-96) 559-. 

 (llth memoir. Impulsive and instantaneous 



screws.) Ball, (Sir) R. S. [1896] Ir. Ac. 



T. 31 (1896-1901) 99-. 

 (12th and concluding memoir, with summary 



of the 12 memoirs.) Ball, (Sir) R. S. [1897] 



Ir. Ac. T. 31 (1896-1901) 145-. 

 ( , amendment.) Ball, (Sir) R. S. 



[1898] Ir. Ac. P. 4 (1896-98) 667-. 

 Application of mathematics. Briggs, Robt. 



Am. Ph. S. P. 9 (1862-63) 278-. 

 Applications. Zandevskij, I. N. Es. S. Nt. 



Mm. (Mth.) 9 (1889) I-, 1-; Fschr. Mth. 



(1889) 930. 

 Bivectors and theory of screws. Kotellnikov , 



A. Kazan Un. Mm. (1895) (Pt. 9), (Ft. 11) 



79-; (1896) (Pt. 1) 139-, (Pt. 2) 111-; Fschr. 



Mth. (1895) 804-. 



Collinear and reciprocal equivalence. Kalk- 

 mann, G. Mh. Mth. Ps. 9 (1898) 55-. 



Complex numbers and theory of screws. Ko- 

 telinikov, A. Kazan S. Ps.-Mth. Bll. 6 

 (1896) 23-. 



Complexes of axes of screws. Emilio, R. d'. 

 Ven. I. At. (1884-85) 1135-. 



Contributions to theory. Ball,R.S. B.A.Ep. 

 43 (1873) (Sect.) 27-; E. S. P. 21 (1873) 

 385-; Mth. A. 9 (1876) 541- ; Ir. Ac. P. 3 

 (1883) 661-. 



Directional theory. Hyde, E. W. A. Mth. 4 

 (1888) 137-. 



Displacements of rigid body subject to 4 condi- 

 tions, plane representation. Mannheim, A. 



C. E. 100 (1885) 268-. 



Distribution in space of dyads of each pair of 



forces to which a given system is equivalent. 



Budde, E. Berl. Ps. Gs. Vh. (1888) 77-. 

 Dynames, geometrical representation. Study, 



E. Leip. Mth. Ps. B. 51 (1899) (Mth.) 29-. 

 , theory. Padelletti, D. Nap. Ed. 21 (1882) 



31-. 

 , analogous to quaternions. Padelletti, 



D. Nap. Ed. 21 (1882) 111-. 

 Dynamical parable. Ball, (Sir) R. S. B. A. 



Ep. (1887) 569-. 



problems, plane representation. Ball, R. S. 

 [1881-83] Ir. Ac. P. 3 (1883) 428-; 4 

 (1884-88) 29-. 



Dynamics of system of rigid bodies. Gravelius, 



H. Dresden Isis Sb. (1897) 24-. 

 Equilibrium between 6 forces. Mohr, . 



Giving. 35 (1889) 237-. 



of rigid body under forces constant in magni- 

 tude and direction. Segre, C. Em. S. It. 

 Mm. 6 (1887) No. 3, 35 pp. 



systems; axoid (screw complex) of 

 freedom. Padelletti, D. Nap. Ed. 22 (1883) 

 13-. 



General mechanics, treatment by line and 

 homogeneous coordinates. Franke, J. N. 

 Krk. Ak. (Mt.-Prz.) Ez. 3 (1891) 158- ; Crc. 

 Ac. Sc. Bll. (1891) 101-. 



theorem in dynamics. Screw-chain homo- 

 graphy. Ball, (Sir) R. B. A. Ep. (1894) 561. 



Geometrical theory. Seiliger, D. N. Kazan 

 S. Ps.-Mth. Bll. 2 (1893) (Prot.) 22-. 



Homographic screw systems. Ball, R. S. 

 [1881] Ir. Ac. P. 3 (1883) 435-. 



Instantaneous axis. Walter, A. Mh.Mth.Ps. 

 5 (1894) 33-. 



screw when rigid body receives impulse. 

 Ball, R. S. B. A. Ep. 43 (1873) (Sect.) 26-. 



screws, complexes. Franke, J. N. (xn) 

 Krk. Ak. (Mt.-Prz.) Pam. 7 (1882) 177-. 



, involution of lines as axes of. Franke, 



J. N. (xn) Krk. Ak. (Mt.-Prz.) Pam. 7 

 (1882) 15-. 



Mechanics of similarly varying systems. Sei- 

 liger, D. N. Es. S. Nt. Mm. (Mth.) 11 

 JIO) 1-, 149- ; 13 (?1891) 1-; Fschr. Mth. 

 10) 854-; (1891) 919-. 

 pal screws of inertia of free or constrained 

 rigid body. Ball, R. S. Ph. Mg. 6 (1878) 

 274-. 



Screw coordinates and kinetic energy. Ball, 

 (Sir) R. S. Camb. Ph. S. P. 8 (1895) 240-. 



77 



