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Show 184 DE MOTV ANIMALIVAI. 10. AL. BOREIIJ CaP- 16- rhombos ad porcnriam KL dilaranrcm vnicum rhom‘E‘fg‘mefig- bum, eandem proportioncm habcnr , quam omncsdi. gulis latera , & Diametri homologi film mqualcs inter Lcapdé. fc, 8: tanrum prcccisr? deficit Diameter AB 5r Eli lon- pinnai "mm?" Red , quiz funcs colliguti BFC , BGC fixé retincmur girudinc ADnguanrum BC minor CR filo BFCquua. "We. in. Iiipfi ADB ,' & proindé afccnfiis vinculi B vcrfus A, 13;??? Potent". nmfl‘ulx'y in B, (co quod dilatatio fiipcriorum chordarum mmi film . firmitcr prohibcr dcfccnfum nodi B , ac ii funcs infr- xqualis cit afcenfui vinculi C verfus B , fed p01} con- mmflcu‘h "35001152 interuallfi, quo rcfificntia Z difl'ar ab A-.con. rum. 31mm in lamrioncs DE , FG ad vnicam dilatatioucm FG. P0. riorcs 31 clauo afi‘ixo in B rcrincrenrur),& potontia KL fmcs inferior-es dilarans, xquali tnomcnto iufpcndit rcfiflcntiam Z , cum vna alteri non cedar . Igiturpotcnria dilarans KL, ad rcfificnriam Z candcin balm rationcm , quam dilatario FG ad BS;(€miflCflthus BC; Quare cquualirarc ordinam, porcnti-x omncs H31: K)L dilatantcs omncs rhombos ad rcfiflcnuaml fc habenr , vt omncs dilatationcs DE, FG, ad BSrfci MIAMI" 185 flat cx rot diametris aequé dccurraris, quot {unt rhom. bi; Ergo afcenfus ponderis Z cx C verfus A roties multiplicatur 3 quot funt rhombi . P R O P O S. LXXXXIX. ijdcm datis, dilatationes funiculorummnumquc dccurtationcs, in numcris cxhiberm. Tab.9. Fig.7. ac tot dilatationcs, quot {unr rhombi :equalcs, 8: tum. 163 ad AR ,femiffcm cuiuslibcr diamcrri‘AB,quod&c. Sit darus angulus DAE dilatationis chordarum.-> Hinc pate: , quod licét potcntia: multipliccnrur; W ciufquc medietas angulus DAR; crit triangulunu plurcs rhombos dilatent , non proindé maiorcm I‘L'il' DAR rcétangulum in R , {irquc R0 cxccfl'us finus to~ ficmiam , quam {it Z a fuf‘pcndcrc pofl'unr; Eé‘lu‘Rd uus DA fupra Alhfinum fecundum angnli DARgVnmomentum ipfius Z augcmr , prout motus afCCW dé\OR crir finus vcrfus ciufdem anguli DAB . Pater, ..... \‘imu'futrfl ' kw "1.0933. eius reciprocé multiplicatur, vt oficnfum chumhnius . ccrad maiorcm alritudincm fublcuatur . P R O P O S. quod quaelibet ex mqualibus dilatationibus funiculor11m,erE , vcl FG, mcnfuratur :‘tfubtcnfa DE 9 {cu Chorda aiiguli DAE dilatationis funium . Oflcnden- dum modo eff 3 quod fublcuatio rciiflfcnrirc Z mcnfu- LXXXXVIII. ijdcm POHtismmltae potential? dilatantcs plurcs rhom' "W 51 duplo ipfius R0 {inus vcrfi anguli DAR>t0tiCS bos fubleumt rcfificntiam dircété prcxncnrcllllffl "mi"? 3 quot funr rhombi . fpatiummulriplcx cius , quod fiibleuatur in vaO .Q‘Ja finus vcrfus OR at} cxccffils portionis funicurhombo 51 biuis potenrijs pro multitudinc rhombo‘ hAD {upra AR, & prifisgmtc dilatationcm funis,cius POmo AD in fun AO iaccbar , 8: pofler‘z terminus D rum. Tab.9.Fig.7. "Wlarus cfl ad fublimitatcm DRE . Ergo R0 cfl: nga omncs rhombi ADBE, BFCG Sic. funtintcr mcnfma decurrationis portionis funis AD; {untquc {c aequalcs , & fimilcs , 8c {imilitcr pofiti; Ergo 'Ffin' cmma latcra rhomborum DByBFJC :equaliainrcr f6: gu 15 |