CORPORVM RIGIDORVM. 2+'/ 



fliim Z transliuionc fa<fla, iam in z eflo concipmtur, 

 ct fitus huius pundi z determinctur pcr coordinatas 

 Ix', x'y, j' Zi quas pcr littcras x', j', z' refpcdiue 

 defignemus ,• quo fado leui attentione adliibita pate- 

 bit elfe in Fig. 6. I.v'— I/— I.v Fisj. 5 , finuli 

 modo x'y — fg^xy ^ tiimquc z y - i g — zy ,• 

 quod omnino rigorofa demonftratione firmari pote- 

 rit , fi modo per i dudac concipiantur tres lineae 

 i a^ ib^ ic parallelae ipfis I A, 1 B, IC; quas ta- 

 mcn in noflra figura, nc nimis euaderet complicata, 

 non expreirimus. Hinc igitur colligimus x'zz.i-\-x-^ 

 y — g-\-y i ^ — h -\- z, quare {i valores modo pro 

 Xjji z inuenti adbibcantur , has exprefliones pro 

 x', y, z' confequemur ; 



x' =/-+- X cof. B ^ -H Y cof. B £• M- Z cof. B a 

 y z= g-h X cof. C ^ -f- Y cof. C <r -4- Z cof. C ^ 

 z' =: h-\- XcoL Ab-\-Y cof. A ^ -H Z cof. A a, 



ita vt pro dcterminandis .v', j', c', translationem tam 

 puntfli I per ordinatas /, g, h cxpreffam , quam 

 conuerfioncm corporis circa pundum I per arcus 

 A <?, Bi^, Cc determinatam , cognofcere oporteat. 

 Formulae autem hae allatae fi conferantur cum iliis, 

 quas Illudr. Eitlerus inuenerat §. 10. Diflertationis 

 ftepius commemoratac ; nunc omnino euidenter con- 

 ftabit , litteris F, G, H etc. cos tribuendos eflc ra- 

 lorcs , quos ipfis fupra alfignauimus. In formulis 

 vero his pro x', y, z' licet nouem occurrant quan- 

 titates ad translationes pundorum A, B, C fpcdan- 

 tes y tamen quum reliquae ex his tribus cof. A a, 



COfr 



