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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 96, page id 898203430:0288
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ie ira DE LOI BOLIDIS
L
1
M. O
Ccationo praecedencium nottrarum Proposicionum de cribusme.
drecactbus perrractancium, aeque huius ocillimi Problemacis
ecelidei, per quod lecatur recta secundum mediam, _c extremam
raciorem, sic, ue sesmencum maius sie medium seometrieum incer
minus, a cocam; haud erit absre, nec minus veile hoc loco lequen-
ces appore. quamdam cum prxostensis cognacionem habences,
ec quae plurimis aliis cuidam nora concemplacioni inseerientes, I3.
alme opiculantur.
1LODL. A.
PROP. XXXXIII.
Atam rectant AB dividere secundum mediam; es extre.
mam rationem arithmericam. Vel si; ut secmentum
maius sit medium arichmericum inter minus, e rotam.
Aca AB sumatur parscerria BC, e punctum C.
quaelicum tolvee.
Oualium enim aequalium partium est AB, 3, et
BC, 1, reliqua A C crie 2; led hi numeri 3, 2, 1,
sune in concinua racione arichmerica: ergo segmentum majus A C.
elt medium arichmericum, inter minus CB, dc cotam AB; e AB
secta est in C. secundum mediam, ec extremam rationem arictime.
cicam. Quod CTaC, eC.
A D REquens ProbI. XI. enueleandum requirieur osus alcerius auxi
La liarii, quod osin Creometrix limine vix Calutaro, incer alia
solvere nobis concisit, dum undecimam Propol. 2. Flem. limulque
erigelimam sexei, univerlaliores reddere Audebamus.
Id icaque illud est, quod Anno 1675. erpis dedimus in quadam
exercicatione lub ciculo Oblectamenti Geometrici, ad p25. 185. Sed
ne Lector Opus hocadire cogatur, idem auxiliarium hic icerum ede.
re, ec sexti Lemmaris loco huius libri apponere liber, cum ad pro-
xime sequens Pcobl. cum ad alia pluxima, eciam num reserata, bre.
ri forrasse aperienda, luisque demonstracionibus contirmanda.
LLM.