MOTVS FLVIDORVM, 285 



rediixi: Compeiidium autem calculi hic inde eft 

 ortum , quod tres nnguli Izm , Izn ^ mzn iniinite 

 parum ab angulo redo difcrepent ac difcrimen adeo 

 p:r quadrata differentialium exprimatur quod nifi com- 

 modc vfu veniffet altera methodus anteferenda fuifTet 

 Cum feilicet pyramis zlmn aequetur fummae ho- 

 rum trium prismatum ypozln-\-yqozmn-\-poqlmn 

 demto quarto vpqzlm , erit ea 



^h'^}'pO(jZ-{'p/-{-Ofi)-{-^Ayqo{yzi-qm+on)i-\^poq{p/+qmion) 



-lAypq{jz^pI+qm) 



quie reducitur ad hanc formam 



U^Jpo-h ^j q i- Apoq){y z-\-p l-\-q m -i^on) 



— ^Ajpo. qm — i^Ayqo. pI-'^Apoq.)>z 



-h^Jpqijz-^-pl-^-qm-^-on^+iAjpq.on 

 vnde ob Ajpq — Aypo-i^ Ajqo-{-Apoq fit pyramis 

 zlmn~lon.Ajpq-~iqm.Ajpo-\pl.Ayqo-\jz.Apoq. 

 lam haec triangula porro ita repraefentantur : 

 x^ypqzz\xs{xj~[-sq)-\-\sr{rp+sq)~ixr{xj-\~rp) 



zr \ (^xs-^-rs^^xj-^rp+sq^-ixs. rp-yr.xj-lxr^xj-^^rp-i-sq^Y^xr, sq 

 ideoque Aypq—\xr.sq-lxs.rp-\sr.xj et fimili modo 

 Aypoz=i\xr. to—\xt. rp~\tr. xj 

 Ajqo — \Xt. sq — lxs. tO — lst. XJ 



Apoqz-:\rt. sq-\ st. rp-\sn to 



cx quibus tandem coiligitur 



N n 3 6zlmn 



