DISSERTATION M. P. E. A. S. 



et, vicissim et convertendo, erit 



axis AC ad axeni XF sive basis DC (ex suppositione) ad basim (]V 

 ut curva DOA ad curvam GIX. 



2V3 



Oiiod erat denions(randiim. 



Propositio III. 



Ksto. in tertia figura (Jig: i36), r/m-a AO, cuj us axis AC, hasis CO. 



el ah ca in/el/igafiir formari alla ciina ejusdem el axis cl rctiicis. in 



qua applicatcv sint scmpcr in ralione applicataruin prions curva' : sit 



nenipe 



lit basis ('0 ad basim VA', 



ila applicata BP prioris curvse ad applicatam BR poslerioiis cuiv;i' 



et ita applicata DE ad applicatam DN, 



cl sic in infiniluiu; si (td piuicUi/n (piodlibct prioris ciuv<r. iil (), diica- 

 liir (anciens OH cum are comenicns in pitncto H, cl continucliir (',( ) douce 

 occnrral secundœ cunœ in V, (uo rcc/am, c/iiœ puncta \ cl H corijitnp;il, 

 langcrc secundam cim'am, cl scmpcr contingere ul tangentes eorreluta' 

 in ntraque cuixa ad idem piinctiim an oeeiirrant. 



V\g. .3(j (3). 



Ducantur enim applicatse BPR, DEN, occuirenles cuivis in puuctis 

 W H, E, N et rectis OH, VH productis in punctis Q, S, F, M. 



Si probaverimus rectam BS, supra rectam CV ductam, senipcr majo- 

 reni esse rectà BR, item rectam DM, inferius ductam, esse etiam sem- 

 per majorera applicata DN, patebit rectam MVSH tangere secundam 

 curvam in puncto \. 



