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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 70, page id 1677894601:0080
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=80
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.88
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Circle Wvtrose Diameter i5 =  S cub.
D quad. Very nearly, 25 Y 92-
ther by compucins che Frrors oF che Rays by che method
oF infinice series, and rejecting che Perms irhose quanti
ciries are inconsiderable. As For inistance, it the sine ofln-
cidence I, bc to che Sinc oF Retraction R, 25 20 t0 31, and
it D che Diameter of che Sphere to which che Conrex side
oF che Cilass is ground, bc 100 Fcet or 1200 Inches, and
S che Semidiamerer ot che aperture be cuo Inches, che
R X S cub.
Diameter oF che licele Circle (chac is T= D quad ) will DC
X 8
20 X 1200X +200 (OF 2600000) Parts oF an Inch. BuE the
Diamerer ot che licele Circle chrouph which chese RayS are
scattered by unequal retrangibilier, will be abouc the 55ch
pare ot che aperture ot the Object. Clals which here is FOuF
Auches. And cheretore the Frror arisino From che spherical
Figure of che Cla(s, is to che Error arising trom che disse-
s
rene Retrangibilier oF che RayS, 25 360
e0 815I: and cheretore beins in Comparison lo very licele,
delerres noc eo De considered.
Buc rou will Car, il che Errors caused by che different re-
Franoibilier be (0 very oreac, hon comes ic to pals chat Ob.
jects appear chrough Pelescopes (o dictinet as eney do: l an-
siver, Eis because che errino Rays are nor scarcere d uniform.
Iy orer all chac circular space, but collected infinicely more
denselr in che Center chan in anr ocher part ot the Circle,
and in che may trom che Cencer ro che Circumterence oro
continually rarer and rarer, (o a5 ac the Circumterence t0
become intinitelr rare; and by realon ot cheir rariey are
noc srone enouch eo bevisible, unlels in the Center and re-
YY ReaT it. L ET ADF reprelene one ot chole Circles de-
Scribed ich ehe Center C and Semidiamecer AC, and let
BFO be 2 smaller Cirele concentrie eo che Former, curtine
ith
i