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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 185, page id 1677894601:0377
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=377
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C1857
PrOD. TIT. SIE ZR area currae cujus Ocdinata est
 An  2XnE
priores de area e Ordinata posteriori, ex manebit
p = an
by2n in Z2 R~ Ordinata nora C UEVa, X
2an C
DR = pA -- 9B ejusdem area. PONC dC = P 8
oF. f anf =G de Ordinata eradet (3, 82 2n in Z. 1R~. 1, 8
area ZR DCA oFB in(B. Diride utranG; per
08- ang, X aream prodeuntem dic C, _ astumpta
utcung: I, erit EC area Currae cujus Ordinata est
p7dI E R~ 2. Fit qua ratione ex areis pA d 9B
ATCAM FC. Ordinatae p2P F2rI R~ congruentem inve-
nimus, licebit ex areis gB _ rC. aream quartam
puta ED ordinatae S2 L3=R. congruentem invenire,
_ sic deinceps in intinitum. Et par est ratio pro-
srestionis ab areis B Xx A in partem contrariam
Pergentis. Si terminorum 8, 9. ]-an, ec 0- ] - 2an aliquis de-
ficit e Ceriem abrumpie, altumatur area pa in prin-
cipioprogrestionis unius ex area qB in principio al-
terius, _ ex his duabus areis dabuntur areae omnes
in progrestione utraque. Ft contra, ex aliis duabus
areis altumptis ft recrestus per analyEn adt areas A
e B, adeo ut ex duabus datis caeterae omnes den-
FT. 9. F. O. HTic est casus Currarum ubi ipsius=
indexsauxetur vel diminuitur perpetua additione vel
subductione quantitatisn. Calus alter est C urra
rum ubi index augetur vel diminuitur unitatibus.
noo