Apollonius <Pergaeus>; Lawson, John - The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

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9. H2: S x s. Any other datum.
10. H2: S2 + m2, or H2: s2 + n2. any other.
11. H + P. H x P.
12. H + P. H x P + P2.
13. H + P. S2 + n2.
14. H + P. m2 + n2.
15. H x P + P2. P.
16. H x P: S2 + n2. any other.
17. H x P + P2: S2 + n2. any other.
18. {1/2}H - P. S - s. # Turner’s Math. Ex. pr. 37.
19. H±S. m, or H±s. n.
20. H + S. n, or H + s. m.
21. H2 + S2: P2, or H2 + s2: P2. any other.
22. H2 + S2: S2 + m2, or H2 + s2: s2 + n2. any other.
23. H2 + S2. m, or H2 + s2. n.
24. H2 + S2. n, or H2 + s2. m.
25. H2 + S2: m2, or H2 + s2: n2. any other.
26. H x S. s. or Hxs. S. # D’Omerique L. III. pr. 37. - Vieta Geo. \\ Eff. pr. 18. - Oughtred, ch. 19, pr. \\ 25. - Herigon Geo. planæ, pr. 9. - \\ Schooten, pr. 38.
27. H x S: s2, or H x s: S2. any other
28. H + S + m. H2 + S2 + m2.
29. H + S + m. H x S + S x m + S2.
30. H + S + m. H x S + S x m.
31. H + S + m. H2 + m2.
32. H2 + S2 + m2: H x S + S x m. any other.
33. H2 + S2 + m2: H x S + S x m + S2. any other.