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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 211, page id 826603459:0257
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C A
De Geodaesia.
nim de mtaxue non constabie, ) ideogs per ouadraca po.
eius quam per Rhombos. Cum enim ouadratorum omnium
anguli recti sinc, adeoq. inricem aequales, dato illic latere de
magnicudine constabic; Rhomborum aurem anguli cum por-
Cinemagis minulre obliqui esse, daco lacere non cam en de max-
nicudine constabit, quae quidem major minorre cric, prout ob-
liguitasminor majorre fueric. Nonisicur Rhombis led Oua-
dracis pocius decerminandae lune fgurarum magnicudines
Addocamen, si non de Rhombis uccunq:; sumpris, sed de
Phombis in cerco quoris obliquationis angulo, asatur; non
minus cerca est Rhombi mentura quam Ouadrati. Verbi gra-
cia, in oblonso C D obliquangulo non minus certum eA EOL
Dedales Rhombos, in eodem, cum iplo oblongo, inclinationis
ansulo, contineri, quoc in oblongo Rectangulo AB continen-
cur ouadraca pedalia; (propter lacera ucrobiq: ligillatim 
qualia.) Ee quidem propolitiones illae omnes qua luperius
(ex Fuclide) demonstrantur de Ouadracis _ Reccansulis, non
minus ralene de Rhombis se Rhomboidibus in eodem quo-
cunq; inclinacionis angulo. Ouod quidem nocare magno este
pocestului Geomecris.
Pacet aucem, ex jam dictis, methodus menturandi Paralle. Parallelo
logramma Obliquangula. Non quidem ex ductu DB in BC, orammi Ob
sed DBinBF vel in DH. Cum c
nim, uc modo demonstratum eA, Pa-
dem exic urriulq; area seu magnitu
(per ea quae dicta lunc C apire praeccdence;) erso et Obliquan-
suli CD.
HOc CA, Si in Paralleloerammo quolibet; C sive Rectaneulo sive
Obliguaneulo,) alatere quovis ad opposcium ducatur perpendicularis,
eaque in eorum nirumvis mulciplicetur, prodibit Paralleloerammi area.
Acq. hujus quidem opcracionisracio, praecerquam quod jam
Fuerit demonstrara, hinc Caris incellisi porest. Et advertamus,
quod, s in paralleloerammo quoris (puta CB) unum ali-
quod ex laceribus pro lonsicudine habeatur (puca DB,) ejus-
liquane ait
Geodaesia
rallelosrammum Obliquaneulum
C D, 2qualc Hc Rectangulo AB; ca-
d0. Ac ex ductu DB in EF, vel in
DH, habetur area Rectanouli HB
dem