VI.—If P'Q' be a minor chord of the arc POQ parallel to the base PQ it and R' the midpoints of PQ and P'Q' and 8 the complement of the angle between BB' and PQ then the distance between the centres of the circles PP'Q' and P'Q'Q is equal to PQ tan 8. Join PP ' QQ' and lilt' and produce them to meet in T. Let L 1 G. and H be the midpoints of PP' and QQ' and let perpediculars to PP ' QQ' and [...] 0 be the summit of the arc POQ and R the midpoint of chord PQ and 8 the complement of the angle btween OR and PQ then the difference between the radii of the circles P00 and Q00 is PQ tan 8. Cor. [...] C.—If T be the intersection of the tangents at P and Q to an arc PQ Zi the midpoint of chord PQ and 8 the complment of the angle between TR and PQ then the distance between the centres of the circles PQQ and PPQ is PQ tan 8. SECTION II.—INFINITESIMAL ARC. [...] S'Q and PRS to the ditance PQ will be called the partial rate of variation of the radius of the circle of curvature at P. if POQ be an infinitesimal arc the ultimate ratio of the difference of the radii of the circles of curvature at Q and P to the distance PQ will be called the complete rate or variation or simply rate of variation of the radius of the circle of curvture at P. In a [...] The manuscripts included in the list with the exception of those designated Society's collection ' were purchased at the expenses of the Government of Bengal out of the fund granted to the Society for the Search of Sanskrit Manuscripts.
- Pages
- 62
- Published in
- India
- SARF Document ID
- sarf.120250
Segment | Pages | Author | Actions |
---|---|---|---|
Frontmatter
|
i-i | unknown | view |
42. Geometrical Theory of a Plane Non-Cyclic Arc Finite as well as Infinitesimal
|
391-402 | Syamadas Mukhopadhyaya | view |
43. Fresh Light on the Word “ Scarlet.”
|
403-404 | E. D. Ross | view |
44. On the retardation and acceleration in the dissolution of Mercury in Nitric Acid in the presence of minute traces of Ferric Nitrate and Manganous Nitrate
|
405-406 | P. C. Ray | view |
45. An Alphabetical List of Jaina MSS. Belonging to Government in the Oriental Library of the Asiatic Society of Bengal
|
407-440 | unknown | view |
46. Numismatic Supplement No. IX. Note.—The Numeration of the Article Below is Continued from p. 592 of the “ Journal and Proceedings ” for 1907
|
441-446 | P. Taylor | view |
Aug-08
|
cvii-cix | unknown | view |
Backmatter
|
i-ii | unknown | view |