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# Title: Wherein the chief Causes of Error and Difficulty in the Sciences, with the Grounds of Scepticism, Atheism, and Irreligion, are inquir'd into (shelfmark Leibn. Marg. 52)
# Folio 23, page id 797331344:0035
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Cat
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CI.
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IUIS
DII.
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dea
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ex
ExC
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1
But
Introduction.
16. But here ic will be demand-
ed, ho re can bnor anr Propolition
o bc erue oF aIL particular Priangles
except ve hare tirst seen it demonstrat
cd ot che abstract Idca ot a Triangle
Wrhich cquallr agrees to all: Por bc-
cause a Properer may be demonstrated
co agrec 1o lome onc particular Prian-
slc, it Will noc thence follor thac it c-
quallr belones to aur other Triansle,
ertrich in all respects is not the lame
vich Ic. For Example, Hlarins demon-
Srated thac the chrec Angles oF an TIO-
sceles, Rectangular Friangle arc equal t0
tro risht Ones, lcannot cheretore con-
clude this Afection aorees to aIl ocher
Friangles, rhich hare neithera righeAn-
sle, nor tro equal Sides. Iescemsthere
tore that, to bc certam this Propolition
is univerlallr true, re must cither mate
a particular Demonstration tor crery
Particular Friansle, hich is impossible.
Or once for ail demonstrare ic ot the ab-
stract Idea of a Friangle, in Wtrich aIl the
Parciculars do inditterentr partake, and
by wtuch cher arc allequallr represent.
Cd.