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# Title: Francisci Dulaurens Specimina Mathematica Duobus Libris Comprehensa (shelfmark Leibn. Marg. 134)
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T24 SPEOTMEMUM MIA THEMATTCORUM
minorem circulum in dicto murui circulorum occurtus
puncto contingit. Ouoniam ergo ducta recta linea pro-
Policosbinos circulos in eodem puncto continsit. Sequi-
cur exmox probaris ambo concisuorum circulorum cen-
era in eodem (unico dumcaxar existente) flo, supra di-
etam concingencem, ex ad punctum murui circulorum
occurlus, erecto polica esse: quamobrem recta linea, cir-
culorum incus se contingentium centra connectens, pars
est. L.i dictam contingentem in mutui circulorum occur-
sus puncto secantis, et consequenter connectens illa re-
cta linea, quancum opus est producta, nominaEUM Per-
pendiculum absolver, hoc est in circulorum concactum
cadec. Ouod aurem ad aliud punctum minimé pervenire
Polsit, inde cridens est, quod dux rectae commune leg
mentum habere nequeant, quod profecto acciderer A
recta linca propolicorum circulorum centra connectens,
ec iniplorum contactum cadens, aliorsum adhuc diver-
seret. Onde modis omnibus verum est rectam lineam,
circulorum incus se contingentium cenera nectencem,
in contactum circulorum cadere. Ouod erat osten-
dendum.
ELEMENTOM TERTIOM.
EL EMEN TARIS PEOPOSTTTO.
Duae rectae lineae parallelae sunt quando recta ipsas secans
internos, es ab eadem parte constitutos anculos duobus
rectis adaequat; vel quando alternos inter se pares effi-
cit; vel quando internum externe contraposito reddit
aequalem.
P R LM A P A R S.
DETERMLLNATTO CASUUM.
Fr bini inceriores; et ab eadem parre existenres
anguli inter propoliras rectas à secante generari,
necnonper his pecetm duobus rectis aequiralences, inteF
se Dates am tet deleunus altero major est, quamris
ambo simul Lumpri duosrectOS AdXQUENE.