On closed spherical motions

Author:
H. Hilmi Hacisalihoğlu

Journal:
Quart. Appl. Math. **29** (1971), 269-276

MSC:
Primary 53.01

DOI:
https://doi.org/10.1090/qam/281105

MathSciNet review:
281105

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References | Similar Articles | Additional Information

**[1]**H. R. Müller,*Sphärische Kinematik*, Matematische Monographien, Band 6, VEB Deutscher Verlag Wissenschaften, Berlin, 1962, p. 6**[2]**J. J. Stoker,*Differential geometry*, Pure and Applied Mathematics, Vol. XX, Interscience Publishers John Wiley & Sons, New York-London-Sydney, 1969. MR**0240727****[3]**Wilhelm Blaschke,*Zur Bewegungsgeometrie auf der Kugel*, S.-B. Heidelberger Akad. Wiss. Math.-Nat. Kl.**1948**(1948), no. 2, 9 (German). MR**0031307****[4]**W. Blaschke and H. R. Müller,*Ebene Kinematik*, Verlag von R. Oldenbourg, München, 1956 (German). MR**0078790****[5]**E. B. Elliott,*Some Theorems of Kinematics on a Sphere*, Proc. Lond. Math. Soc.**12**(1880/81), 47–57. MR**1575806**, https://doi.org/10.1112/plms/s1-12.1.47**[6]**C. Leudesdorf,*Theorem in kinematics*, Messenger Math.**7**, 125-127 (1877)**[7]**C. Leudesdorf,*Note on the theorem in kinematics*, Messenger Math.**8**, 11-12 (1878)**[8]**A. B. Kempe (1)*Note on Mr. Leudesdorf's theorem in kinematics*, Messenger Math.**7**, 165-167 (1878) (2)*A theorem in kinematics*, Messenger Math.**7**, 190 (1878) (3)*Proof of the theorem in kinematics*, Messenger Math.**8**, 42 (1878) (4)*Note on the theorem in kinematics*, Messenger Math.**8**, 130 (1879)**[9]**E. B. Elliott,*A theorem in areas including Holditch's, with its analogue in three dimensions*, Messenger Math.**7**, 150-156 (1878)**[10]**E. B. Elliott,*Extension to curved surfaces of a former theorem on plane areas*, Messenger Math.**10**, 156-158 (1881)

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DOI:
https://doi.org/10.1090/qam/281105

Article copyright:
© Copyright 1971
American Mathematical Society