r 507« ) 
monfl:ri,propius adnaotus, refpicead iIla/>4^. 29. 1, 32, &:c.ubi,tri- 
(cdo arcu BG, inf. i, rc(^aq^ AT, in iS,X-,praEfumit, rquoniam pro- 
batu erat impoffibile; N/2f efk unam redam, itetnquc NXib quod fal- 
fura eft : quippe reda NF, per /2 non tranfibit, Tadeoqs nec erunt 
quod ille (bmniat, in ratlone NA ad Nb • neq- iV/3 prQ- 
duct a trmfihh per f. ) fed neq^ NX preducta trafifbit per i.j 
Taut Ni, per X.) Et fimiliter de fedionum pundis rcliquis. 
Atque hac uaa ftrage firaul corruunt hac Propofitiones ^Imnejue : 
( Adeoq», nec dabitur : RectA Arcui 3.i^adrantali ^haIps h nec Dividetur 
AngHlus in rationed^U *, nec Dmo Arcminvenietur Aqudis reUaS nec Z)4- 
t^rectdt d^qnalisArcus^^ T^tc Infcribetnr C ire hIo Poly gonnm RegnUre^ da^ 
turn hahens npimerum LMenm : Proh dolor !) Nos, quid dc hujusmo- 
di nugisfentiendura (it, (Redas onmes, ab uno aliquo pundo dudas, 
in eifdcm rationibus fecarc poffe cur vara aliquara, atq^ expoGtam 
redam ^ & quae funt hujufmodi •,) jam olira oftendimus- non enira 
vel fcraei, vel nunc primum,fed olim & fa^pius eadera oberrarit chor- 
daj in Elencho Geometric HMiana, pag. 97,98,99 , 103 , 104 ^ 1 11,112, 
113, &c. & Hobhio Heamm timor, p. 119, 120. & alibi. 
Tandem (quodrairum eft) demonftrandum fufcipit unara Propofi- 
tionem Veram^ fed quam ille mallet Falfam S quippe id ejus intererat 
Yd mSLXiml:) NcmpCy ^^od^fiatmrqui^ta radii non efl major dnartim 
mediarum inter radiHm\& Semi -radium* Ecquis dixit effc ^ Certe, fi 
non Hobbiusy nemo alius. Nam f R==7c ,^fR3>7ciR3.) Scd videa- 
mu5, quara ille hoc demonftret Belle. Nempehoc ut probet, pag, 33,' 
J?/ f inquit linAi,) Cnhm a DC 1000 quorum Cubus a Dtefl 512. ,Mox 
2LUttm (H^, 22. )Cuk BC & Dt, (he $12. & 256 J) qui neque iidem'funt 
neque in eadem ratione,cura 1000 & 512. Paulo poft {lin, 24. &c.J 
Non efi finquit) r^-^rfZ)/- (nempc f DC ) media proportiemlu inter tot am 
DC & ejm dimvdiam^fedek major ^(Redc quidem ^ fed quanto major?) 
quantum efi dHodecemmilkJim<e partes Cubi atora DC -, (nerope duarum 
Redarum differentia, eft Corpus Solidum^j five quantus efl Cubus a 
duabm cemefimk ipfim DC ( pro eodera utique habet, jjt Cubi, & Cu- 
bum ex.f^, h. e. _^^A.^vCubi : fed pergic,/iV/!?» S^adratum a dua- 
bm Centefimis reEia cujufcunque\ equate e^ quatuor Centefimii quadrati tOm 
tius 5 (Nempe quadratum a feu tv^#,-o, facit ille -1^ xQEt Sjiadra- 
turn diagomlid ejus Cutpote duplum quadrati LaterisJ potefiS quorum dux 
centejimds pete [1 4., Jtaq-yfuper quadrntum ex UUs duabm centefimis ficm^ 
flruatur Cubm^ Cubi iftius diameter pot efl 12 quorum dudt centefim^ Radip 
potefi 4. C^orfum haec ? inquies ; nempe, inquit,^ DemonfiravimHs er» 
go, quatuor quint as femidiametri, duarum me di arum inter 'Radium ^ Semi^ 
radium majore^majus e^e ', & quanto, (Nempe, toto corpore folido,quod- 
fit To'lv Cubi ex Radio ; ideraque/i crede8,3equ^le Cubo ex Radii.) 
Spedatum admiffi rifumteneatis ? Sin haec placeant,. ejufdera farinae 
fequuntur ibidem plura, modo vacat legere. 
Sed efto. Dabiraus enira f utut non ab iUo demonftratumj verum ef- 
fe i nempe, f R<^^//, non effe majorm duarum mediarum inter Radium & 
Semi Radium, ^id porro ? 
Nempe; 
