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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 14, page id 797435492:0222
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516. 50
E B C F. YI
deseribi: Quod linea recta per alterius eujulris linex longicudinem ixd
procedere postir, uc situm incerea parallelum perpetuo serret (hoc est
uc ipta juxta politionem, quam in quolibe temporis momenco lor
eitur, parallela sit sibi secundum politionem luam in alio quoris tem-
poris momento:) Item, quod linea quaeris (detinice vel indefinite
prorensa, quod in omnibus intelligendum) motu directo, itidem sibi
parallelo, proeredi possit (directo inquam. hoc elt ue ejus lingula
puncta lineas rectas deseribant) qui sune duo motus libimet xequira-
lene, eundemque procreant eftectum corumque alteruro productx
concixiantur illae, quae prae exteris aequabiles, ac unitormes haveri
merentur superticies; quales sunt in plano Superficies parallelogramma
(seu penitus rectilinex, sire mixrx) in Solido (uc ita dicam, vel non
in uno plano delincatae) Superficiss Prismatica, Cylindricaque, cum
gux stricto, tum gux latiori lignificatu dicuntur. Sic in exemplum
primo recta linea B C, cui insiltens recta A B per iplam B C FeratuE.
libi continuo parallela, donec puncto B ad C promoro recta A B ipli
DC ad AB parallelae congruat. Manisectum cA hujusmodi moru
procreari ficuram planam paralleloerammam ABC. D. Patet etiar
quodlibet assumprum in AB punctum, ut F, rectam lineam descri-
Bere, cujus partes FFi rectis AB interceptx, rectae BC partibus
BB, per easdem respectire rectas AB interceptis (hoc est eodem
tempore a puncto B decurtis) aquantur. Neque minus Patet, (2
vice versa recta BC per ipsam B A feratur, eandem superticiem de
lineari; omniaque rectae BC puncta (ceu F) rectas lineas effingere.
nec non harum partes P F parallelis B C incerceptas respectiris linex
A B partibus B B adxquari. (Noretur aurem abhinc breritatis ergo
eam in his, quam in similibus calibus harum lincarum illam, quae
motu luo magnicudinem describit a me Oenetricem dici; alteram
autem, juxta quam, vel cui insistens, prior detertur, Directricem ap-
pellari; quia morx linex procettus ab ea dirisitur, vel ad eam accom-
modatur.) Sit rursus linea guxpiam curra (velur arcus circularis)
BC, cui in eodem plano insiltat linea recta AB, _ per curram B C
continuo deferatur recta AB, sibimet aequidistans, donec punctum B
ad C pertiverit, de recta A B demum rectae D C ad iplam A B primo
poliram parallelx congruerit; describetur hoc moru figura quoque
plano (latiore signiticatu) parallelogramma; quia scilicet adverla
hujus figurx lacera libi parallela sunt, recta ABrectX DC, _ curra
A D curra BC. Nam _ hic lingula quae que Generricis rectae puncta
(velur F) lineas describent directrici BC similes d aequales; cum
incesras, cum iildem parallelis AB intercepras parres; si enim duo
Puncta