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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 121, page id 851387705:0141
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peet
Cap. XAI. EL DEVTSTOHL.
Pariter, cum terrae Jucerum Anslicanum lAera, vulso
dicta) statura lese censeatur instar Paralleloeramni Rectan-
suli, Perticas 4 lati, lonsi vero 40: continebit area Porri-
cas quadraticas 260 == 4 X 40. Vel etiam, cum Perrica Lon-
Suudo lic Dedum 263; adeoque 4 Percica sint pedes 66:
e perrica 40, pedes 650: Idem cerrae Jugerum live ACra
valebit pedes quadraticos 43560 =66x660.
Hlinc ccrat Pacee Suresse posse parasamina quo
rum maenicudo sit equalis, ambitus autem admodum in-
 402.
AB = 26019.
A = 60tcd.
B ==660
AB = 43360P9.
aequalis: e contra amhicus aequalis, ae magniudo inaqualis; de quidem cousque posta
uc quorum ambitus major est, corum aiea seu maenitudo sit minor. Le. LeMpII outis in-
Srata.
vicc
Sic Rectaneuli primi lacus quodlibet sex pedum; eric area, pedum 36 = 626, compara
Secundi laciendo, pedum 4, lonsicudo Dedum o; erit arca, pedum 36 = 4 X9
Fercu lacirudo Dedum 3, lonsicudo 12; eric area 36 == 3X F2. Ouarii laciudo
Dedum 2, Longicidlo 18; eric area 36 == 2 X 18. Duinci denique laciruclo 1, lon.
Sicudo 36; Cxir area ilem 36 = F X36. Flt isicur cadem singulorum aica Peu
marnicudo; nempe vedum quadracicorum 36; de corum ambitus lonsse diversi;
quipue primi, pedum 24 = 6 f 6 f 6 f 6; secundi, 26 = 4 -]- 9 f q - ] 9; tCr.
ei, 30 = 3 + 12 F 3 F 12; quarci, 40 = 2 + 18 f 2 7 18; quinii, 74 = 2
 36 + 2 7 36, nempe plus quam criplo major quam primi.
Deinde, sic Rectansutum primum (uc peiuis) sonsum ce laluiu pellesb. Secun.
dum, lacum pedes 5, lonsum vedes 7: Fercium, lacum 4, lonsum 8: Ouarrum,
lacum 3, lonsum 9: OmIncum, lacum 2, longum +O: Sexcum, lacum 2, Longum
ET. Prunc haec omnia Ploperimetra; quippe perimerer, sive ambicus ubique pe.
dum 24. =- 6 + 6 + 6 c
=2 = 2
+ 9 7 3 +5
c, Y 5 Y cF. RCmagnicudines lonse diverla: quip.
Deprimum est Dedum quadrateorum 36 = 6x6; lecundum, 35 = 5X 7 GUtLLI
32 = 4XB; quarTM, 27 =-3XG; quintum, 20 = 2X 20; sexcn denique
2X = EX TF, DluS Eriplo minus quiam Crat primUm.
Denisue tuc expolicum P’arallelogrammum reclansulum, cusus calitudo sic pedis
2, Lonsicudo, TF; adeoque ambieus 24 =- F f 1F f 5 f 12, area vero pedum
quadeatieOrUm FF = 1 ZII. Ra quCaCH alta Guacu, guorum primum
sic lacum pedes 2, lonsum o; secundum, lacum 3, longum 8; cercium, lacum 4
lonrum; quarcum lacum 5, lonoum 5. Erie lingulorum ambicus minor quam
solo amibitu astimare.
operi-
Obloneorum vero illud majus est quod propcus ad Duadratum accedit, hoc eAt, cujus metro-
Sic quadrari cnjulris lacus A, Ct sPS GlatalI Area AX A = A 9. Deinde quodnam
tiac Rectangulum oblonsum, quadraco illi iloperimetrum: Ouod uc tiac, cantun est mavi
A = + PCrE.
Paralleloslammi expolici, (quDDC BecMM L2 Cu  fuerit pedum 24:) arca
30, expelici rero non nilI FI.
Fx qulibus omnibus abunde patet, qua tad o sil fieurarum magnicudinem ex
vero major; nempe primi, pedum quadraticorum 18, Secundi 29, cerrii 28, quarii
Porro; Hline liquet etiam, ex Paralletoerammis Rectaneulis Tsoperimetris (hoc Rectan
est, quocum amticus lunt inricem aequales,) Quadratum esse onnlum maximum: Sacorus
laterum disterentia minor est. Ouoe probatur.
LC
19t
MII: A - C
ditter: 2C
dem addendum est longicudini, quancum laciemdini autertur; MIa al GuaH
cumcunque sic dieatur C; tierque lonsicudo A ] C, laciendo A , al
Rectangulum Ouadrato Floperimetrum, quippe ucriusris ambicus 4 A, ut lacerum
utrobique addicione pacet. Erir Oblorisi tusjus aceu (duetu congicudinis in laci
mcettet