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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 787, page id 851387705:0807
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1N 1
Prop. mm idua.
minueis illis Friangulis (ut aB, seu Y a P, _c.) incumbencibus: quarum commu. FiB. 168
nis vercex sic a punctum; Balelque super Priageulorum illorum basibus (ut X P, 270.
ec.) crectae alricudines habeant iptis V’a respectiris aequales
Cuxeque Prilineo sire cori, sire ipsius Portioni, ut bBa A, (quae Sectori B a R
respondet) insiltir; ex coridem Ongulis, qua respectiris Paralleloprammis, B
seu ySEP, Scc. incumbunt; acies habentibus in ra recta continue javentes, alci
cudines vero super ipsis y bp parallelogrammorum basibus (pro lemiquadranta li
ungulae racione) ipsis V a (respectire) carundem d ra distantiis aquales. Oud
quidem Ongulae, sune Cunei, seu Prismata basibus criangularibus (ipsis S Y, Ep
insistentibus) interjecta.
Sunt aurem haec Minuca Prismata, (urpore Semiguactrantales Ongule, paralle
Joorammorum quibus incumbune, momenris respectu ra, aquales, seu P’aralle lexi
pedorum dimidia;) Pyramidularum illarum (respectiris Priangulis incumben-
cium, horumque momentis respectiris aequalium, ) cum singula lingulorum, cuim
omnia omnium, Selguialtera, (per S C. PrOP. 17.) Seu uc 3 ad 2. (de quidem Py-
ramis illa, elt ad Parallelexivedum Cuver eadem bale, aque alcum, ut L ad 3; Cu-
neus vero, ut T ad 2: Eltque Z ad L, uE Z ad 2.
lise, perpendiculare planum Cuper ra erectum,) urpore eadem quae est balium
Friangularium quibus interjacer (Der prOP. 5. hujus;) elt ad distanciam inde
Cencei graritatis Pyramidis correspondentis (aeque altx) ut 3 ad 2, (Der PrOP. 6.
hujus.) HIoc CAt, ut 8 ad 0.
ErSO; (prOPTer ZX 3 = Z) Momencum Vneulae seu Prismatis Paralle logrammo,
ut BB, incumbentis; ad momentum correspondentis noulx seu Prramidis incum-
benris Triangulo, ut aB; (respectu ejusdem ra;) elt ut 4 ad 3, seu Selguiter.
rium. Et Sc ubique. 
FIE icaque illins, qua ex Prismaris componitur, Ungulx, sive toui A ra Pri-
lineo, sire ipsius Portionis ut BBa A vel bBS d, vel bBr, _c. infiltentis mo-
mentum; ad illius, quae ex Pyramidulis componitur, Ingula, sive cori Semicir-
culo, sire iptius correspondenti sectori, Ba A, vel B∞D, rel segmento a B a ih.
Tiltentis momentum; ut 4 ad 2, seu Selgnitertium.
Engula, (actem HaBCnUS a) momentum respectu ra (urpore illius Selquiter-
GentrI Graricatis d Ta, 18 R: Adeoque, d̀ PA, S R; ejusque momentum respe
ctu T A,
Eademque momenta ex Ongulxe tori Parallelogrammo A La insistentis mo-
mencis subducta, exhibent (mutatis mutandis) momenta Onsula aciem, habentis
TA: Nempe momentum ua os LataHICHSLA  L du (BODTOr A.
= 2R, e ra vel T A = = P) aMacHLIS Ta; respectu aciei suX, elt FA a0
XZ AAXTA =Z R. P. Onde suhductum momentum Ongulae Priliner ATa re.
spectu ra; relinquic momencum Ongulae Trilinei AX F, ungulam hrabenris: r a.
respectu ra; hoc est Ongula Prilinei Ara (ipli A= P similis ec aequalis, in
verso siu) aciem habeneis TA, respectu iplius PA, iS R3P; adeoque (propier
magnitudinem SR3 P, ver SC. prop. 17.) Diltancia Ceneri praricaris ab acie
rua 23 R; atque ab exITeO OppOlIcO, i R; et, respectu hujus, momentum,
R3
mencitta
ESF AUTCHA EOH SEMICICIO MMMIenII Ongulae, aciem habentis ra momentum
respectu ra; 13X3∞; (per S T. prOP. 76.) Adeoque Prilinco Ar a inlistentis
Eium) 13 R 3~. FC (proplet Magnicud 8 X = P, per SC. prOP. 17. ) Diltancia
lrem; Onculae Sectoris B a A, aciem habencis ra, momentum respectu r à (per
5W. PrOD. 26.) ett 8
R3 + 3 S R3 = 352
 2d 1 a
Ta (propter masulcucem 3 a R F 35
F 28sB R = 4.
A + 95B
85hX
respectu ra, mo-
R3 +
est
e
a 5VA = ZfR? + + sB R, Det
31
in S R. Frso Ungule quadrilinei correspondentis DBa
urxore istius Sesquiterrium) 3f
55hVR = 6a R3 F 155R3 ==sV R, 3SR: Cenerique pravicaris distantia
5
R + 95
5
gue, d TA
5852
EsuI Gue
B
vit
5V. 610B. 17.)3
85BR = 45B2
27fR + 95b