DE Trochoioe. ^tj 



AD TROCHOIDEM. 



E J U s Q_U E S O L I D A. 



pRoposiTio Lemmatica Prima. 



£/o circulus ACSD , çujus Aiameter AB ; atque ex ejus 

 femicircumferentià ACB fumatur anus qnicunque F G , 

 five is fit diametro AB conterminus , five non i divida- 

 turque anus ille in quotlihet fanes squales in funEiis 

 F ,Z,M' ,C ,2V,G ^ ^c. indefinitè , quemadmedum in 

 àoBrinà indivifibilium fieri conjuevit ; ex quibus fun^ 

 Bis demittantur in diametrum AB totidem ncla fer- 

 fendiculans FJl ,ZS , MT , CE , Ny , GJ^ , &c. qua: 

 erunt totidem finus nfH numéro indefiniti (jj- fecundùm 

 anus aquales , vel aqualiter Jefe excédents s fumfti, 

 Frofonitur demonfirandum , 



Omnes illos finus indefinitè fumpos ad radium cir- 

 cuit toties fiumptum fie fe habere , ut reâia RX y 

 portio fcilicet diametri inter extremos finus in- 

 tercéda , ad arcum probofitum FG. 



PRoDUCANTUR cnim finus illi , donec alteri fe— 

 micircumferentis ADB occurranc in pundis H,0 , 

 1- , D, Q_, I, &c. & jungantur akernatim veStx LH , 

 MO,CP,ND,GQ_, &CC, occurrentes diametro AB in 

 punftis , Y , Z , z , 3 , 4 , &c. ôc duftis omnium arcuum 

 fubtenfis FL , LM , MC , CN ; HO , OP , PD , DQ^, &c. 

 fiant triangula redangula fimilia HRY , LSY , OZS », 



