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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)
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ARAZHMEFICA PFOP. CXXXIX.
miles) Pyramidoeidis aut Conoeidis Ellipries
20
applicatae; earumque quadrata aut circuli laut fieurae quaecunque si
Plane.
Sequitur ex duabus praeced. Nam rectae conter-
minx lune instar leomentorum Diametri. An au-
rem Circulus, an Flliplis prodibir; judicandum
exit eodem indicio, quo in PrOD. 124.
R1. CAAAL1
Lheorema.
Y exponatur leries Primanorum muletata serie Tertianorum; RC-
Siduorum Ouadrata, Cubis Biquadratam eC. ad seriem Aqualium,
rationem habebune cognicam. Nempe
Residua.
aD- a
_c. ad
DD2 - D3
Ouadrata.
a D2 = 2 a D + a
ecc. ulque ad
D D2 -= 2DeD F
3-3. +; = os A D
2. X 4
3X5x7
 5a l 2a u a
AXOXBX 1C
Et EC deincePS; puta
2X4 X6X8XH0
OxSxTOxTZXL4RI
2X4 X6X8X1OL1L
7XGXTLXF3XT5XF7XLB
PROP. CXF.
Corollarium.
Dem accidet, si series A:qualium mulctata serie Secundanorum, ducatur
in seriem Primanorum. Eit illius duadrata, Cubi, Cdc. in Duadrata, Cu-
b05 (5c. hujus.
C
(Puta, si recta in Semiparabola, diamerro parallela, ducantur in rectas Frian-
sudi; nam earum continuariones, in complemento, lune series Secundanorum.)
Ouia nempe D2 - a7 in a esta D 2 = 43. _c.
PROP. CXLL
Theorema.
I exponatur series Primanorum muletata serie Ouartanorum; RC.
siduorum Ouacrata, Cubi, eec. ad seriem Aqualium, rationem H3.
bebune cognitam. Nempe
Rclidua.
aL
_C.
Ouadrata.
245D3 a a  3 a B F 3a .- a
ecc.
6
3X6X9
SC.
4X7X2OXL3
SXGXOXTZ XX5
EL Sic deinceps, pUT- 3XOX9XZ2
SABKLEXIARTI SLONIZLISLIBREE 
PR OP. CZLTT.
Corollarium.
Ec
Cubi.
ecc. ulque ad
DD5 -3 D3 DI L Z DID2-D
10= 13204
2.X 4. X6
aeto AD
Latat.
3X6XC
2. x4 X6X8
SXZXOXTLXTS
34120
Dem continget, si serres Aqualium mulelata serre Lertranorum, ducatut
in seriem Primanorum.
(Putam