aA^ [umsnda erit a B (in ea adillumratkne qmm illa pojlulat as- 
ceierana feu retardatio^ ) eritque diagonium &^ ^ Tmigens qim- 
fita. 
Quadratricis -/^^B (fig.io.) pun c turn a dtfignatur moiu com* 
fojito ex recto per va^ circulari in Tdu {jzquahilihus ^ lcmxfQyatf,) 
Ergo ^ [umpta tangente e^V—^T^ 6? completo paralhhgramm» 
ftfjjF , jungta a F tanget ^uadratricem. 
At que hinc alia qmdratur^^ per Tangentem quadratricis^picfter 
lUd per qui^dratficis Bafn^fic elicitur, Pojtis CA^r, A^q^ 
T^^Xf <gjl~^* ^^^^ {propter §l^adratriciseo?i[lructionem) 
K^^' ^^- = - ^<j^<fix* Ejfque a^^aE 
fumpto ubivis in AB puncto a , prceterquam in B, quo cafu {evanef^ 
cente utraque^ erit ^Z^^^^ adeoque x= 5 i'oc eji , TZ^XB 
^AC. Sed &,vE communis tangens utrique curvce Xb ^ 
JB. 
Cycloi'dis (fig.iij punctum cK.de fcribitur motu cempoJitOj ex 
recto in eiV^ ^ circulari in (^(equabtlibus & (eque-velocihus.^ 
ErgOy (umpta tangente tiiJ^AV^ complete Vt^^F par at lelogr ammo ^ 
jun3 a aF Cycloidem tanget. Et quidem^ propter Ang^ vaF'(^a^F 
— IaCF^ ^\y^y i eccurret circuli erects diametro in ver* 
tice. 
In Jecundariis (contracta protractave) (umenda erit &.u ad 
in ea ratione major minsrve , qua efl celeritas motus circuUris ad 
celeritatem recti, 
/?2 Figura Arcuunij Sinuumve, (^Bg.ii^ ) prscedendumut in 
Cycloide^ nifi quod (propter exemptum [emicirculum gemtorern) pro 
tangente ojj illic ( qum Mc ejl at ) [umenda erit erecta ^ eque^ 
alta, 
Conchoidis (fig^^.J punctum a de^gnatur motu cempojito ^ ex 
^quabili circulari in {hujujve tangente ^ ) C# recte in ATaccele- 
rato pro incremmto tangentium : q uce quidem accsleratio duplex efi^ 
altera propter declivitatis anpdim §^(tT^ hoc cJI^vaT^ continue cref- 
centem 5 altera propter radii in fecantem protractionem , contmBe 
item crefcentem. Propter prior em^ ducta tangente (quce occurrat 
in li re^ilce CH^ recta v ^ (parallela rectce PHa.^^ occurrat ckTin { : 
Propter po/leriorem ^ eidem y{ protracta mcurrH tangenti verticis 
Z^' indeque Zj^ vaX parallela 5 adeoque e^T^X 
M na m m «2 
