( 40IS ) 
4K^A^ pmenda mt ii "B {in m adiltumfatione quiim iUapiiflulat m^^ 
ceferatio feu retardatio^) mtque diagenium eijg, Tungens qum- 
Jim. 
Quadratricis ^nB (fig.io.) pumtum a dtpgnatur motu cm^ 
pojit& ex recto per va.^ (3 circulari in To. {equabilibus & <«n»;^p8i'6i?.) 
£rgOf fumpta tangente ^V-^T y & compkto paralhlogrammo 
FefjiF ^ juncta tiF tanget^uadr^tricem* 
Atquehinc alia quadraturm^ per Tangent em quadratricis, propter 
l!Ja per quadratricis Bafin^fic elicitur. Pefttis CA-f, -^%^q, 
JZc''^'^ SJi-^* ^^^^ (propter ^adratricismi/lructionem) J ^ 
fumpto ubivisinAB puncto a ^ pr^eterquam in B, quo cafu {evanef- 
cinte utraque) erit aJ^aE^ adeoque x-'^h ^fl-^ Y^^XB 
j=^r. Sed ^ vE communis tangens utrique curvce XB ^ 
A B» 
Cycloidis (RgAi.) punctum adefcrtbitur motu cmpojito^ ex 
recto in aV^ ^ circulari in a0 (aquabtlibus aque-velpcik^x^ 
Ergo, [ttmptatangenteojj^Ap^^ ^ completo V^mjF parallelogrammo^ 
junSa ApCycloidem tanget. Et quidem, propter Ang, vaF(^a$F 
sr^csCF) ^^uaF , eccurret circuit a0 erects diametro in ver* 
tics. 
In Jecundarits (^contractu protract ive) [umenda erit twad aF, 
in ea ratime major min^rve , qua eft Celeritas mot us circplaris ad 
celeritatemresti. 
In Figura Arcuam, Sinuumve, (fig, 12,) pruedendum ut in 
Cycleide^ niji quod (propter exemptum [ernicirculum gemtorm^ pro 
tangent e o/jHUc (qua hic ejl at) [umenda erit ere eta m eque-^ 
alta^ 
' CoDchoidis (fig^^.^ f unctum a defignatur motu compojlto ^ ex 
^quabili circulari in a0 {hujujhe tangent e ) recto in AYacceh- 
rato pro incremmto tangentium : ^uce quidem acaleratio duplex efi^ 
altera propter declivitatis angulum 0a hoc eJlyVA Y^ continue ere 
^centem^ altera propter radii in fecantem profractiofiem ^ continue 
item crefcentem. Propter prior em^ ducta tangenteAu (quie occurrat 
in v re^iU CH^ recta v { (parallela rect^ PM'^,) occurrataTin { % 
propter pojleriorem^ eadem protracta occurr^t tangenti verticis 
indeque ZjY rect^ vaX parallela ; adeoque a Y^X^> 
M m m m *iC 
