Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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1Sinus anguli ACE, eiusque Sinus Verſus eſt
DE. At CD eſt æqualis Sinui Recto anguli
CAD obſeruati; eſt ſiquidem CD æqualis
ſinui complementi anguli C. Igitur quæ
Ratio eſt ipſius DE Sinus Verſi complemen­
ti anguli obſeruati, ad DC Sinum anguli A
obſeruati, ea eſt ipſius altitudinis notæ BA,
ad| quæſitam terræ ſemidiametrum BC.
Quarè ſinum anguli obſeruati 99997.67348
deme ex Radio, & remanet 232652. Sinus
Verſus complementi.Iam ſi fiat vt 232652.
ad 99997.67348, ita nota altitudo ped.
480. ad ped. 20631193, eadem inuenitur
ſemidiameter, quæ ſuperiùs per Algebram
innotuit.
XXXVI
Idem aliter
et breuiſſi­
mè.
Merſ. Si perfici res commodè poſſit ſinè

inueſtigatione anguli, quem cum perpendi­
culo facit opticus radius ſphæricam terræ ſu­
perficiem tangens, angulum illum libens
prætermitterem: vix enim ſcio, quàm exa­
ctè deprehendi queat, quamuis organis di­
ligentiſſimè elaboratis non caream.
XXXVII
Quam exa­
ctè obſerua.
ri poſsint
anguli.
Guld. Omnem mihi eximo ſcrupulum,
ſi quando contingat in Quadrante lineas, in
quibus minuta diſtinguuntur, ita obliquè ſe­
cari â perpendiculo, vt anceps hæream, in
quam minuti partem cadat, cum tameņ
etiam ipſas minutorum minutias perſequi

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