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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 198, page id 826603459:0244
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Mulsiplicationis es
Hac methodo, In mensurandis, ver-
bigcaria, Aserculis lieneis; E ABe-
ris unius lacirudo A sc duum De-
dum, lonsicudo B Dedum 20; erit
area lire magnieudo AB = 40 P93
hoc est pedum quadraricorum quadrasinca.
Similiter, Si Camera mensuranda
st lonsa pedes 18, lata pedes 127
erie corius area Peu magnicudo,
redum quadracicorum 216 = 12
X 18.
De Paralle- Pariter, cum terrae Fueerum Anelicanum C Aera, vulso dicta )
loerammis Ratura lese censeatur instar Parallelo-
Rectaneulis crammi Rectansuli, Perticas 4 lati, lonei
invicem
vero q0: continebit area Perricas qua
comparatis. dratieas 160 == 4 x 40. Vel etiam,
cum Perticae longieudo hE pedum
1623 ade04; 4 Pertica sne Pedes
663 ee percica 40, Pedeo 660: l.
dem cerex Jugerum Cive Aera vau
lebit pedes quadrasicos 43560 = 66 4
660.
A= 4LCt0
1 = 40l.
Elinc etiam paret, varia esse posse paralleloeramma, quorum mag
niindo sit aequalis, ambitus aurem admodum inaequalis; es contra, ambi-
cus aequalis, ac magnitudo insequalis; ec quidem coulq; uc quo
rum ambitus major est, eorum area seu maeniiudo si minor. Exlem
Pligratia.
Sic Rectanguli primi lacus quodlibet lex pedums erit arcas
Dedum 36 =6 x6. Secundi lacitudo, pedum 4. lonsicudo
Dedum 9; exit area, pedum 36 = 4X 9. Tercii lacieudo pe-
dum 3, lonsicudo 12; eric area 36 = 3 n 12. Ouarei laciendo
Dedum 2, Congitudo 18; erit area 36 = 2r 18. Ouinci de
nig: lacitudo 2, lonsicudo 36; erit area item 36 = 1X36. El
isicur eadem singulorum area seu magnicudo; nempe pedun
quadcacicorum 36: ac eorum ambicus longe divert; quiDpe
primis pedum 24 = 6F6 +6 + 6; (ccundi, 26 = 4 F 9 +5 + 93
cercii, 30 = 3+12 F3 F 12; quarei, 40 = 2 + 18 + 2 + 165
quimtis 74 = 2 + 36 + L + 36, nempe ptus quam criplomajor
quam primi.
Deinde
=
AP
20
AB = 40e4
=12
10
198
AB L 2toV4
12= 10014
la = 60 1clo
B - 6601.
at u 49700240