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
18. {1/2}H - P. S - s. # Turner’s Math. Ex. pr. 37.
<lb/>
19. H±S. m, or H±s. n.
<lb/>
20. H + S. n, or H + s. m.
<lb/>
21. H
<emph style="sub">2</emph>
+ S
<emph style="sub">2</emph>
: P
<emph style="sub">2</emph>
, or H
<emph style="sub">2</emph>
+ s
<emph style="sub">2</emph>
: P
<emph style="sub">2</emph>
. any other.
<lb/>
22. H
<emph style="sub">2</emph>
+ S
<emph style="sub">2</emph>
: S
<emph style="sub">2</emph>
+ m
<emph style="sub">2</emph>
, or H
<emph style="sub">2</emph>
+ s
<emph style="sub">2</emph>
: s
<emph style="sub">2</emph>
+ n
<emph style="sub">2</emph>
. any other.
<lb/>
23. H
<emph style="sub">2</emph>
+ S
<emph style="sub">2</emph>
. m, or H
<emph style="sub">2</emph>
+ s
<emph style="sub">2</emph>
. n.
<lb/>
24. H
<emph style="sub">2</emph>
+ S
<emph style="sub">2</emph>
. n, or H
<emph style="sub">2</emph>
+ s
<emph style="sub">2</emph>
. m.
<lb/>
25. H
<emph style="sub">2</emph>
+ S
<emph style="sub">2</emph>
: m
<emph style="sub">2</emph>
, or H
<emph style="sub">2</emph>
+ s
<emph style="sub">2</emph>
: n
<emph style="sub">2</emph>
. any other.
<lb/>
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.