68 ŒlINI{i:S J)K l'KHMAT. - !■ l'VHTIE. 



PUOBLEMA \1. 



Dato ptiricfo. piano et diiahiis sphœris. itnenirc spJuvram quce per daliini 

 pitncliirn Iranantl cl plditiim cir sp/iœ/ds ditas (hilas roittingat. 



ntHluoetiir slatim (|utPstio simili priccedenlibiis raliocinio ad pio- 

 hlenia VIII, Dalis dtiohus punrtis. piano et splnvra. idque beneficio lem- 

 iiialis V. Qiiod si liheat uti leminate III, deduccdir qiiœstio pariterad 

 idt'iii proliloMia. alio iiicdio et alia constriictione. 



l'ilOBLE.MA \il. 



Dalo puncio ri /rihas sphœris. invenire spliwrani qiia' pcr datum punc- 

 luin Iranseal cl splucras dalas conlingal. 



Huic qiioque figuram non assignamus : statim quippe, henefirio Icm- 

 matis 111, deducetur quœstio ad problema IX, Dails danbas j>anciis cl 

 ditahiis spha'ris cic. 



Problema XIII. 



Dalis (hiobas plaiiis et duabns sp/iœris. invenire sp/iw/rini <///«> dala plana 

 cl splucras ronlingal. 



Sit lacdiiii. Si crgo spliaM-ic* siiperficiei inventae imaginemur aliaiii 

 fijusdeni ceiilri supcrficiein parallelani, qiue a quœsila dislct per ra- 

 diiitii tiiinoi'is ex sphseris, tanget haec nova superficies sphaerica plana 

 <|ua> a datis distaimnt per intervallum cjusdem radii minoris ex sphse- 

 ris; tanget quoque sphseram cujus radius dislabit a radio majoris 

 spliaMfe datîc per idem radii minoris intervallum, (|u?cque erit majori 

 splia-no concentrica. Dahitur ergo; dahuntur et duo [)lana datis paral- 

 lela et per radium minoris c\ spha'ris ab ipsis dislantia. Transihit et 

 ha'e nova superficies sphserica per ceiitrum minoris ex splia^is datis, 

 (|uo(l (piidciii datum est; paii igilur (|iio usi jam sumus in ]>roblemate VI 

 artificio, deducetur qua'stio ad problema X, Dato pundo. duobus planis 

 fl splucra, invenire elc. 



