26 NL TRIGONOSCOPIE CVJVSDAM NOVE 
eircumfcripti, Unde; cum & quatuor iftis pun&tis W,X, Y,Z, pofitione da- 
ri pofint tria, modis diverfis quatuor ; rurfus hie proponi poterunt diverfa 
quatuor Problemata Trianguli alicujus conftruendi, que quidem admodum 
forent compofira, nempe ex pofitione datis tribus pun&tis WXY, vel 
WKXZ vel WYZ, vel XYZ, quorum quidem primi folutio a-nobis tradita 
jam eft in horum Mifcellaneorum Continuatione Ima pag, 89. 
Porro fi priora noftra 9. punfta A,a,A; B,b,B; D,d,D fumere 
velimus bina ac bina: reperietur fieri ifthuc poffe modis in torum 36, quo- 
rum tamen inter fe diverfi funt modo 9; quod quidem fic patet, 
s. aa, AA; Aa, quiquidem Cafus funt fimilars  - - 1 
2.Bb; BB; Be, ı - »- a ae: 26 a 
3. od; DD; Do, - - - = 3 
4. AB; ab; AB - ER RE - - 3» 
5. AD; ad; AD - - - - 3 
6. 80; bd; BD - - - - 3 
7. ab; aB; ap; aB; Ab; As - ei) ge Re 6 
8. Ad; AD; a0; aD; Ad; An:  - Senne ee 
9. 2d; BD; bo; bD; Bd; Bo - - - RR 
9. Diverfi Cafus Summa - - 36 
Unde, fi cuivis ex 9, hifce pun&torum paribus diverfi generis fucceflive jun- 
gatur quodvis © quatuor novis punttis W, X,Y, Z; manifefum, nova in- 
de oritura effe problemata quarer novem feu 36. eaque perquam compolita 
furura, 
Denique cum etiam pundta W,X,Y,Z bina ac bina poflint afflumi 
modis fex, nempe, WX, WY, WZ, XY, XZ, & YZ, fi horum parium 
cuique rurfus pro tereio-pun&to jungatur fucceflive vel A, vel B, velD, a» 
lia adhuc inde nova diverfaque prodibunt Problemara ter fex vel 19. Unde 
tandem conficitur, poffe Problemata proponi diverfa, a meris pun&tis tri=_ 
Bus pofitione datis determinata , in torum 20 H4’H36 rg five 78, aut 
guamvis 13 illa puntta A,a, A, B,b, B,D,d,D, W, X, Y,Z, juxta notas 
' Combinationum regulas rerna ac terna poffint aceipi modis in totun 286% 
non tamen diverfa hinc Problemata nafcı plura pofle quam 78. in quibus 
plurima poffint occurrere folur difhcilima, ‘ Hecce autem Problemata 0« 
mnia nobis jam veniant fub nomine Familie: prime Problematum, 
Porro autem ut pergamus, ponatur in Fig, 21, dudtas effe ad novem 
noftra pındta A,a, A, B,b,B, D,d,D ex angulis Trianguli vvV fibi op- 
pofitis, re&tas novem, quarum quidem va, va, VA, refpe&tive vocentur 
E,6,E, & etz vp,vb; VB5 etiam refpetive vogentur 7f,F; & des 
- “ nique 
