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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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Ca AP. 2
De Geodae sia.
CAP. XX IV
Geodaesca Paralleloeramni Rectanenti; Obliguaneulis cujusvis.
Menurario Trianeu Rectanculi; Obliquaneuli; cujusvis. Men
suratio cujusvis feura rectilineae. Mensurario fieura recularis. Men-
suratio circuls, ejusqe portionum, sectorum.  sermentorum. Decir-
culi Guadratura, es ratione perimerri ad diametrum. De fieuris min
Scendimus (ib C apicc 22) merhodum Parallelosramma De Geodasis
Rectangula menturandi, e incer le comparandi. Nempe
Paralleloerammi Rectanculi eujusvis area, 
Parallelo
qualis est quantirati quae ex duarum rectarum srammi Ren
circa anculum rectum, invicem ducru emeroit.
IIC, E lacirudo A = 3 ducatur in longi-
cudinem B -- q emersit area AB =- 12.
Adeoq: verbigracia, Rectangulum la-
cum 3 Pedes, e lonsum 4, continet pedes
1od cium liquet in Parallelogrammo apposi-
10 in r2 spacta Guuutaca dirilo, quorum singula lacera sinE (pu-
caneuli.
Acincerrosabicur Forlan, Cur hoc ad Parallelogrammum De Paralle-
Rectangulum restringatur; cum i. loerammis
dem videacur dicendum de Obli. Obliquaneu
ouangulo. Puta, E linex C, D, circa lis.
angulum acucum, (vel etiam C, L,
circaangulum obcusum,) invicem
mulciplicenenr, quarum alcera (IL3.
alcera 4. Dedles LOnBa; emerSIE NUmE
rus 12: iplumq: Paralleloerammum Oobliquaneulum in cori-
dem Epacia dividitur aegualia, quorum icem lacera sineula con-
cineane (puca) Dedem unum; non minus quam si esset paral.
deloorammum Rectaneulum,
Relpondeo; Posse quidem Paralleloerammum; etiam Obliquanen-
lum, in toiidem spacia aequalia es similia dividi, quoz indicat muiua mul-
siplicatio laterum duorum circa ipsius quemvis aneulum constiimorum; eo-
rumque spaciorum latera esse aequalia, (pura unius pedis sineula) non min
nus quam si paralleloerammum fuisses Rectanentum. Sed nego spacia illa
sis. De freurarum metamorphosi.
e
quact a 10812.
ta) pectulia.