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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 298, page id 851387705:0318
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DE SECTTONTBUS
PrOp. II
F
DT
De Trianeulo
PEltatigulum recta, vasi parallela, secetur, erit abscistum FridH.
Sulum lecto simile; et proprerea latera habebit proportnalla
(ut nocum cst.) Adeoque, Si Friangulum quodris V B S, rectis quol-
cunque a a B, V7, EC. bas BS parallelis, et aGaLL ad LHVICCM
gulum in segluca alsere alla.) etuM Ia secta a a BB, 77, _C. A-
richinetice provortionales: (lunt enm inter le a a, Bβ, 7 7, dc. ub
a B, BY, etc.) Ldeoquenrecta ia upPat Mlero intinuae, exit
dissitis, Secetur; quae Propterea Crurum utrumris (adeoque e utrum-
que) diricane ua aatta (a propterca etiam locum Lltase
Vaq VB, VY, _C. hoc eA, ut 1, 2, 3, _C. PrOPter aequales exCeNIIS V a
omnium series, (hoc es, cotum Friangulum, per prop. praecod. agore-
satum rectarum numero infinitarum Arichmetice proportionalium,
quarum minima est punctum Y (verricis nimirum,) maxima est B5
balis Frianguli.
Acque idem concinget si intinicis illis rectis supponamus coridem Paralleto.
Eramma in eodem plano incerjici, quorum singulorum alcicudo sic = alricudinis
Frianguli: Frune seilicet et illa Arichmerice proporrionalia. Cum enim xque.
alta line, Tunc e basibus proporcionalia.
Haec aurem omnia Parallelogramma simul sumpta, tiguram constituent Trian-
gulo illi sire inscripcibilem sire circumscripcibilem, (cum omnium bales suppo-
nantur Prianoulo aptari:) quo autem plura lunc (in ejusmodi tigura inseripea
vel circum seripca) Parallelosramma, eo minori sire excestu live defectu dittert
tigura illa a Friangulo cui adseribieur; adeoque, cum supponantur numero in-
tinita, erit ditterencia illa infinice exigua, hoc est, nulla; aique propterea (uppO.
nenda ea tigura sic adleripta (ex Parallelogrammis intinitis Arithmetice PrOPOr-
tionalibus contlata) Friansulo aequalis, seu pocius eadem: Fadem quidem lege
qua Polysonum regulare intinicorum numero lacerum, (lire interibi supponatur
sire circumseribi) pro Circulo haberi Colet.
Ouod si quispiam sic qui noluerie hoc concecere, poterit ille nocistima merhodo
Apasosica cosi: mulciplicatis nempe cousque P’arallelogrammis, ut ditterentia
eandem quaris altignata quantitate minOx SIE. F80 vero ejulmodi à nayorais su-
perledendum esse existimo, parrim ne L ectori nauleam crearem ejulmodi cramben
Capius iterando, Partum quia nemo est in Machematieis paulO EXCTCIaLIOT, qui nOn
Porerit (Si ipli opus eRe videatur, cantique supersit ocii) supplere, cum ea MC.
ihodus demonstrandi cam apud Veceres quam Recenciores paltim oceurral. Quod