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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 231, page id 779785487:0289
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L1B. II. DE 5OA 18.
cari in circulum ERFS, qui
AC ad CMTIO, VE DLCK, ad
BNIO; IGIEUE E A eA dupla CA,
igieuE ED, dupla CB, VE PaTCE;
igitur spariu quod circulus EKES
conticie, dum le reducie in DLGK,
id elE COKONA E LFRD, eA quadeu-
Pla COrONA CNFIOB, id est lpacii
quod circulus CMHP coticit, dum
se reducie in BNTO; cum enim
area CiEculI EKFS, Sic quadcupla,
area circuli CMLIP, icemque aica
circuli DECR, quadrupla accx
circuli BNTO, certe cum reliduu
est ad FCLIAUUML, DE COEUI, ad EO-
cum; decractum est ad derractum,
vereliduum ad reliduum; igieur, (1
arca est arca quadrupla, COTOMd
est corona quadrupla;, hinc loni
edici ab huiulmodi circulis sequii-
tur rationem edicorum d chordis;
E enim chorda sic dupla aeque ten-
Cx: spacium maioris est quadruplum
(pacii minoris; sed Foni lune in Cub-
duplicara spatioru; igicur re chor-
dae permurando; igirue ve circuli
eriam permurando; pari modo (I
circulus in elliplum cendacue, eo
modo, quo lupra dictum est; LIHE
circuli A, B; A Scilicet, duplus
B, Secundum peripheriam; haud
dubie ellipls, in quam A cenditur,
erie dupla illius, in quam cendieur
B; arca vero circuli A quadeupla
B, igitur ellipsis A guadrupla B;
igicur sparium A, quadruplum B;
quid clarius; denique huc renoca
geminum illum dilcum Ferreum,
quo vulzo in Pronincia ludieur, et
canitur; iccnque annulos FerreOS
eriangulo ferreo insiros; iremque
COrOnaS areas, vel Ferreas, quae
deges circulorum Ceruant
PROt.
CL==aVIIL.
Explicari possunt quae pertinent
ad sonum aris campani: Tut h2c
prop. mulea complector, qua ex
iactis supra principiis Facile de-
monstrari pollune, eaque in certa
Capica; SeL CerTOS MneTOS di-
EcinguO.
Primo, campana porest ese co-
nica, v. 8. C AB; si enim pulsetur F18. 62
in A, batIS AB, quae est circulus,
per centionem, abic in elliplim; ec
cum coni superticies ex intinitis
circulis constet, haud dubie sin-
guli circuli in ellixles libi aequales
abeune; Argue Cuperhcies tota co-
ni elliprica; linguli vero circuli, id
est cora luperticies, vesimul cendi-
eur, ita limul, per divertas vibra.
ciones reducicur; tine POnUS:
Secundo, duarum campanarum,
eiuldem alticudinis, sed diverla
balis, Poni lune in Cubduplicata
balium, id est ve dimmerri baliuia
permurando; oblerua qua (o, qua-
cuor coniusariones; nempe ret
Cune ciuldem alcicudinis, et balIS;
vel eiuldem alricudinis, non ba(53
vel eiuldem balis, non alticudinis;
vel diversa cum baHs, rum aleieu-
dinis; hoc polito sine duxe campa-
AX ACB, ECF, ciuldem Scilicet
alricudinis, Ced diner (x BaAS; (IF-
que balis illins AL BM, quadrupla
bals huins FHFO; ac proinde dia-
meter AB, dupla dinmerri FP, dico
TONU ACB, essC ad POMUIM F. CP,
VE EF, ad AB, ac proinde esse dia-
paloninempe spacium basIS AL BNI,
vbi reducicur, est quadruplum (p2
eii, basIS ENFO, rbi etiam redu
cicur; idem dico de Spario decurlo
a lingulis circulis superticiei C AB-
E Comparecus cum Epacio decurlo