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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 50v, page id 00067970:0100
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 47r); this page is its left half.
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Locus omnium punctorum quae sese eodem
modo habent ad duo puncta data
e
expressio
fertium
punctum datum, est circulus, conginentiae est.
A. B. C ∞. A. B. Y. se scripsissemus: AA
AB. Y. X A. B (Y) locus quidem fuisset circulus, qui
est locus punctorum eodem modo se habentium ad
duo puncta data sed non fuisset circulus datus, sed aliquis
tantum (etsi A. et B essent datu, ut paulo ante dixi
Locus omnium punctorum Y. quae sese eondem vodudo
Ebent ad tria puncta data, est udqua tlia puncta
data sese habent eodem modo. est recta: ut:
A. YX. B. Y. ∞ C. Y. Cum Le Detorminationibus
agemus alia utemur definitione rectae ex qua iste locus demon-
stratur, Est enim recta, nihilaliud quam linea ex duobus punctis
Aet B L et M determinata, seu LM. qu ponamus jam
punctam Let  eodem modo se habere ad tria puncta Aes B et C
itemque punctum potunc etiam quodlibet punctum in recta ALM
contentum eodem  modo se hibebit ad A et B; et C. Ratro
cinatio in characteribus erit: L.AB L. B∞ L. C et MA 8 MB. Gm.
ergo et LM. A ∞ L M. B∞ LM. C