monide iadtiaft aranttiioan ien tleorn cgeitnutdruinmi^ X PJee nn>dduutlilf i& id hceenöter,u m& g ldoibmi idiniavtear fer,a t&i
dimidiata ratione vis abfoluta etiam inverfe, id eft, ft vis ilia di- catur K in ratione numeri V——A—R—. CL E, I. AC xV ^ Corol.corporum i t.e mHpinocr ae tpiaomflu Onftd ilnlatenrt ifuem co, ncfäedrerin. tiumNa &m rfie vRoolvtean, tiquuma fCeymcildoiias minettrrao gglloobbui,m C ydcleofcisr ibevitaudr,e t dliianmeae treer& cao npfetri teueantturru maq guloalbisi tranfiens, 8cin hac reità, Olficnildlaet iod ajatamr eturimt detefcmenpfuuss d&ef cfeunbffuesq udeen slo caoic eqnufuos- cviirsc aad cceenntrturumm ,g ltoubmi taedm pduifst ahnutiica maq uqaulaeu qivuiso rceovrpoluvse nudnoif oarmrciutàm* quadrantalem defcribit. Eft enim hoc tempus ( cundum ) ad tempus femiofcillationis in Trochoid ep eqr uCa vailsi mi fe- ut A P S ìB C ad V B EC Carol. 2. Hinc etiam confeöantur quae TX C. Wrennus 8c D. C..
Hugeniusmeter au gdeeatCuyrc ilno iidnefi nvituulgma,r im audtianbvietunre reujnuts. fuNpearmfic iefsi gSlopbhai edriicaa
in planum, vifq; centripeta aget uniformiter fecundumlineashu- ic piano perpendiculares, 8cvulgi. Iftoautem in cafu, lon giCtuycdlooi sa rncuosf tCrayaebloibiditi s,iinn tCeyr cplolainduemm illud 8cVeri® di mpuidnidi laurmcu sd eRfcortiab cinnst,e ra iqdueamli sp elavnaudmet quadruplicato finui 8cbens; ut in venie pun£lum defcri- D. C. Wrennus: di Cycloides in fimili Et pendulum inter duas ejufmo- 8cOicillabitur, ut demonft r¿aqvuita li Cycloide temporibus aqualibus Hugenius,. -Sed 8cviurn, tempore Ofcillationis unius, is erist quern delcenius gra- Hugenius indica
vi t. Aconftpittuatniotunre mau tTeemr rPar, oqpuoafitreinounse sR ao ntao beisu nddeom ino nejfutrsa ctiarc audit sv tenraamx- imis deicribunt motu clavorum Cycloides extra globum; 8cdula inferius in fodinis Pen8c
cavernis Terra fufpen£à,in Cycloidinibtruas
icnhtrroa ngal.o boNs aOmfe gilrlaarvii tdase bent, Cu tK OfeBillationes omnesevadant Ifo(
ut in Libro tertio docebitur ) fcìt in progreflu a fuperficie Terra, furfum quidem in du pdleiccartea- rpaliteioi.ne diftantiarum a centro ejus, deorium vero in ratione fim- Prop. LIII. Prob. XXXV.
Loncejjts pgurarum curvihnearum Quadrat um, invemre vires quibus
corpora in datis curvjs lineis Ofeillationes femper Ifochronas
puOpsf ecriTallg eientnu tr.c ucorvra
quavis linea ST-
RQ ,cujus axis fit ORper vir iturman fcieenns
trum C.TXqua cAugravtaumr lilolacmo inq ucoovrpiso rTis choacn Ttiannggaet,n tien Tq;y X capiatur Taqualis arcui TT- R.do Naracmus l oilln iugsit eux
fdigrautruarrius mpe rQ Mjiae-t h*o dos vulgares innotefcit.: De pun&o Ytur re£h TZ Tangenti perpendieularis. Agatur educa- C Tculari illi occurrens in Z, 8cerit vis centripeta proporti opnearlpise’ nredci-
ta NTaZm. f(iT vEiè, Lq ua corpus trahiturö d e T verfus , C,re&am TZ captam ipfi proportionalem, refolve tuerx phoanca tiun rv ipreers TT,