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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 209, page id 1677894601:0401
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=401
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2075
EsE ejus AUXIO V =L X erit ar Jvr 2, Xt quadrando
aa
Curram cujus Ordinata Cl ar jro d AbIcicta V, ha-
BebituE AuCNS Z. Adhac sit aequatio aar- aV f vv
existente v =BF, v = BF, v = BD _ 2 AB e
per relationem inter r X r seu BD _ BF invenie-
tur relatio inter AB e B F. ut in exemplo superiore.
Deinde per hanc relationem invenietur relatio in
ter AB X BF quadrando C UEVaM A F. B.
Aquationes quae tres incognitas quantitates invol-
runt aliquando reduci postunt ad aequationes quae
duas tantum involrunt, et in his casibus Auentes
invenientur ex Auxionibus ut supra. Sit aequatio
2 bXm =CXyuY- dyEuyy. Ponatur vuy =Y _ erit
a DXMCXV  drr. Hlac aequatio quadrando CUr-
vam cujus ABIcisa est X _ Ordinata v dat aream
V, _ aequatio altera pny =r regrediendo ad Auentes
dat yrt =v. Unde habetur AuenS Y.
Ouinetiam in aequationibus quae tres incognitas
involvunt et ad aequationes quae duas tantum in-
volrunt reduci non postunt, Auentes quandoq;
prodeunt per quadraturam Currarum. Sit aequatio
axm. f b xys = F CXFLyS. L SCXCy yo Fy yE existente
X = T. FF parS POsteTIOEF CXF L yS. LSCXEY y S-Fy vC
regrediendo ad Auentes, At CXry - -- ye quae
proinde est ut area Currae cujus Ablcissa eA Z e
Ordinata ax) hxyse, e inde datur AuCnS Y.
FCC
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