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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 358, page id 826603459:0404
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De Recula Aurea Composita.
XXT.
EriC primO 9 = Y. Adeoque 20, n = Y
X rL
P P quod erat demonstrandum.
a.
Eodem plane modo Raruendum est, Si exponatur Analogia
etiam adhue maxis compolica. Puca Sitrabis lieneae, cujus lonei-
indo, pedum 4 = a; laritudo. Dedum 3 = B; altrrudo, pedum 2 = E5
Pondus pr librarum 240 =D: trabs alia lonea pedes 10 = a; lata,
pedes 4 = = B; alia, pedem L = 2; quanii erit ponderis E. (puTa,
librarum s.) DiCO, E AXBXC, ad. D; (IC a XBX y, ad s
e B9
TOX 4XT 10
ABC D. HOC eA 4 X3X 2 =24 x240 - 400. Ouod p2.
cec relolura analosia compolica, in cressimplices.
A. D:: a.
3.
C.
B.
A. D: : a. 9.
B. 9:: B. Q
3.5. 6. 8:. 315.
4. 240:: 20, 600.
3. 600:: 4. 800.
2. 800:: F, 400.
Namerimo 4 = A D. adeoque secundo Q- B 9 =
a B
ae BV
ABD. EEtertiO S =C Q = ABC D. Quod crat demonstran.
dum.
Nocandum autem, quod quênos in pexecedentibus 2 dum appel
larimus cerminum, heri potest cerciuss adeoque quem certium
axpellarimus, secundus: hos enim duos cerminos, in ProPOr.
tione directa, pro arbierio sedes mucare posse, jam lupra uni
versalicer diximus. Adeoque perinde omnino est Cire dicamus
eT. L. : : XY. n. sIVC PT. Xr:: L. a. Icem perinde eA sve
dicamus ABC. D:: a BY. s. AVC ABC. aBy:: D. d.
ouod monuisse Tufficiae.
acquehaec quidem dixisse Caficiae de Proportionum Regula
na compolica, dummodo lingulae Analogix componences inC ain
directa e rectae
onversas com. Pieri aurem porest uc analosiarum componentium alcera
PosstR. directa IE, altera Rociproca.
exlem
C A P. 3C
FX X I
req