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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 12, page id 1066518432:0040
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12 DE V ERFBUS ET MIOTTBUS CORPORUM. LIB. L.
Tum 2A2D, ac quia, si linca mobilis et corpus spatiola utlibet
Darra A2A X 2A2D simul delcribere potuissent, idem id fuisset
quam si corpus A spatiolum A2D trantinisisset; liquet utique, ex
conatibus linea mobilis e corporis, A2A ∞ 2A2D nalci conatum
A2D juxta directionem AD, qui se habeat ad A2 A vel ad 2A2D
SICUE AD ad AC, vel ad AB; ergo ex Colicitationibus AC _ AB
relultat Colicitatio AD in directione A2D. Duod crat demonstrandum.
S CTIOL IO N.
40. Sollcitationes, qua exponuntur lateribus AC, AB Parallelo-
crammi BC, seeo etes pollunt solicitationes laterales. Deinde in
communi Mechanicae (criptorum phraleologia motus vel Colicitatio
juxta diagonalem AD ex motibus seu folicitationibus lateralibus
AC, AB componi dicitur. Sed quia ridco non decse Autores, qui
nelcio quae difticultatum spectra in hac re sibi Comnient, perperam
existimantes per compositionem ex relolutionem, additioncin vel
subductionem motuum vel potentiarum componentium intelligen-
das esse, ne ejusmodi aequirocatio erronibus negotium Faceneret,
motus vel potentias ex aliis componi dici folitas, ex iis nalcentes
vel relultantes appellare, contultius duxi.
O R OL L A R L U M I.
4T. Froducta puacosrammi diametro in MI, ac Facta AM = AD.
Tolicitatio AM in hac directione AMI reliquis AC et AB aequipol-
lebic. Nam Colicitatio AM alteri xequali e directe contrariX AD
equipollet, atqui AD nascitur ex lateralibus AC ex AB; neque
DluS aut minus praestare potest quam Colicitationes hx laterales i-
mulasentes, proptereaque perinde cAt sire mobile A unica Colicita-
tione AD, Sive duabus collateralibus AC, AD UESCAEUE, CrGO AMI
ipsi AD concraria ec aequalis lateralibus AC et AB omnino aequipoIlet.
OR OL L A R L u n 21.
42. Flinc s tres lolicitationes eidem mobili imPTeNE AM, AB,
AC in aequilibrio consistant, erit quaelibet carum ad alterutram
ex reliquis, id est AM ad AB, uE sinus anguli BAC à reliquis
comprehensi, ad sinum anguli MAC a Policitatione AM ec altera
AC ex reliquis Formati. XTam (§. 4.T.) AM = AD, atque adeo
AM:
F1s. 4.