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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 167, page id 1677894601:0359
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=359
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in locum Cuum priorem BC, e cocuntibus punctis
C X cu recta C. K coincidet cum tansente C HI, ec
triangulum eranclcens C. Fc in ultima sua forma
eradet simile triangulo C. F. T, _ ejus latera cranel-
centia C F, F C _ C c erunt ultimo inter sc ut funt
trianguli alterius C. F Y latera C. F, FI XC, T, &
propterea in hac ratione lunt Auxiones linearum AB,
BC. X AC. Si puncta C. _ c parro quoris inter-
vallo ab invicem distant recta C. R parro interrallo a
tansente C TIdistabit. UE recta CK cum tansente
C Flcoincidat d rationes ultimae lincarum C F H C X
Cc inveniantur, debent puncta C. Xt c coire _ OIm-
pino coincidere. Friores quam minimi in rebus
mathematicis non sunt contemmendi.
Simili argumento s circulus centro B radio BC
descriptus in longitudinem ABIcissae AB ad angulos
rectos unitormi cum motu ducatur, Auxio solidi se-
niti ABC erit ut circulus ille generans, e Auxio su-
perticiei ejus erit ut perimeter Circuli illius ee
Auxio lineae currae AC. conjunctim. Nam quo tem
vore Tolidum ABC. generatur ducendo circulum
illum in lonsitudinem AbIcisae AB, eodem super-
ticies ejus generatur ducendo perimetrum circuli il-
lius in longitudinem CUrVae AC.
Recta P Bcirca polum datum P revolvens secet aliam Fig. 2.
positione datam rectam AB: quaeritur proportio suxio-
num rectarum illarum AB  PB. Progrediatur
recta PB de loco uo PB in locum novum PB. In
PB CapiatUE P C iPEP B aequalis, e ad AB ducatur
PD c, ut angulus b PD aequalis sC ansulo DBC;
X ob similitudinem triangulorum bBC, bPD erit
rusmentum Bb ad ausmentum C. b ut Pb ad Db.
Redeat