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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)
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OAP. 22.
Divisionis exereirium.
sum eric (propter A = 3) Singulis seriebus erectis eres De
des quadraricos contineri, iplalq; leries (propier B - 4)
numero quatuors adcoq; pedes quadraricos omnes esse qua-
Terternos, hoc cM 22 =- 3x 4. Fc similicer in aliis quibuevis
Parallelosrammis rectangulis menturandis (sire quadrara sine
Ere oblonea) ex ductu lonsicudinis in lacicudinen, sive (quod
rantundem ralec) batis in alcicudinem (vel hujus in illam, )
habetur arca.
Acq; hinc colligere licet, Pedem quadraticum unum  continere
Diciios sive Dncias, 244. Cum enim longicudo Pedis unius BC
enciarum 12; Ec propterea Pedis quadrarici cam longicudo
quam lacieudo (IE X2 unc. ex ductu hujus in illam emergie area
22X 12 = 144 unciarum quadraticarum. Adeogs, UEHE DeS
dincalis concineae non nili 12 uncias lincales; pes camen qua-
dracicus continet uneias quadraticas 144. Eodem modo cum
apudnos communis Virea mensoria officinarum (a Tard dicta) con-
dineat loncitudine pedestres; eadem mensura guadrotica continebit pedes
QuadratiCos 9 =- 3X3.
Hac h per Cymbola libeae explio
care; pro lacicudine seu alcicudine
ponatur A, Pro lonsicudine scu ba-
HB; eric isitur Arca scu maxnitu.
do AB, sVCA X B. Er∞OHA =3,
_B - 4, eric A B = 3X 4 = +2. In gnadraris autem, ubE
longiendo lacicudini est aequalis, eric AB = A A = A9. a-
deog, cum lonsicudo pedisunius sc 12 unciarum; _ Propce.
rea pedis quadracici cam balis quam alcitudo 12 unc: id eoq3
A =  P = +ZTI
B = P = 1ZII
AB =PP = P9 = + 4 4UI = 2 4 4 II9.
AB = PP = P9 = 12HXL 2H = + 44 UIHI = 1 44II9.
HOc eH, P9 = 144UI9, vel unus
Pes quadracicus aequalis 144 TIn-
ciis quadraticis. Lc eodem modo-
in Virea quadratica, cum tam ba-
so quam alciendo sic pedum 3, erie
area V 9 -9 P9. EC similiter alibio
161)
ed
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