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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 234, page id 175905688X:0256
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234
E R A H C ES CL a SCHOO FEN
guxe a qua sico puncto cadic lupra unum ex planis, ee reliqua dua,
2d locum hujus perpendicularis in eodem plano decerminan-
dum). ex adimpletis conditionibus omnibustandem in aequatio-
nem incidamus, ubi vtrinque eaedem occurrunt quantitates: in-
dicio est, incognicas quancitates ad libitum sumi posse, atque
Problema propolicum esse Theorema. Nihil isitur retere quod
cunque inera Tetraedrum alsumatur punctum, cum omnia quae-
Sito Latistaciant.
Non dissimilipatione demonstrare porsumus: Si extra Te
eraedeum sumatur punctum, a quo ad singula ejus pla-
na demictantur perpendiculares, carum difterentiam
aequali perpendiculo Tecraedri. Adedut, liquaestio fuerit
de inreniendo puncto, a quo demissae perpendiculares simul col-
lecta, aequentur Tecraedri perpendiculo, punctum illud Fucurum
suc in Tolidoterminato, urpote ubique intra Tetraedrum; li vero
postuletur, ut disterentia iplarum eidem perpendiculo siE aequa-
lis, reperietur punctum illud in Colido indetinite extenlo, atque
Cumi pocesit extra Petraedrum, ubicunque libuerit. Idem de aliis
figuris ordinatis, planisque superticiebus concentis, dici ee de
monstrari poste, perspicuum ett.
Alterum exemplum, quod hic adducemus, ex FTugeniano
Problemate deduci potest, quemadmodum praecedens Petra-
edri ex triangulo aequilatero deduximus, ee est hujulmodi:
Si Sphaeca plano per cenerum secetur, sumatur autem
extra planum quodlibet punctum inera Sphaecam, ab
eoque ad planum demictatur perpendicularis, et pel
lubjectum punctum in. eodem plano utcunque ducatuu
recta linca, utrinque a Sphaera superticie terminata:
eric rectangulum, sub segmentis hujus rectae compre
hentum, aequale rectansulo sub seomentis rectae, ut
cunque per assumprum punctum ad Sphaerx superti.
ciem ductae, una cum demista perpendicularis quadra
C0. Idem terme concinsic si punccum sumatur extra SpheeraM.
Ilis adde sequens Problema, quod occasione istius LIugeniani
ibi ance cres annos c restisio inquirendum proxosui. Vir Cele