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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 350, page id 851708439:0374
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L G E B R A: CaP. L XZXI.
cata ratione distantiarum ab ANC, erEO = p X Z A Z. Ft Sexies un, mm, dec. est ONar
ranorum, ideoque = L p XZ. EroO FTustum Prramidoidis constans ex AG B9. Ec.
XX = EpX: 2 RA F FF = 2XX. Argo li leomencum Parabola absciltum recta
AXI paralLela FOTTIE Cirea OrdinALIIII APplICaram P, trustum acuri Parabolici Co-
nocidis, (vel uc aliis dicitur) Funt Lalavortei inde genitum, est = 3 pX: 2 A F O F
=3 X. Adeo uc trustum Fus Parabolici minus sic trusto Spharoidis ejuldem
balis et alcicudinis desectu2 (.) L X3 L. V.l Doliorum capacitacem vero propius lape
dat, quam Theorema Ouehtredi qui ponit Dolia elle Frusta Sphaerocidium, vel A
liorum qui supponune este truica conscidium Parabolicorum, vel denique Aliorum
elt = pX: A A = Z AX  ZZ~ =- 3 pK: ZXX F ZAA F (AA = 2 AX =)FL
qui habent Dolia pro trustis Conorum.
De Oneulis Cxtinaricis.
Sic A BCD porcio baleos Cylindri recti, cujus latS
C. D concipiatur perpendiculare basi A BC: e pEr DuN-
cta AB D agacur planum abscindens Ongulam ABDC.
Friangulum icaque BC D intelligendum est perpendieu-
larc bali AB C: Concipe eriam puncta c 8 p Ec. in Lub.
limi Cupra H, C, P, ecc. Ergo Ongula conttabit ex limili.
bus criangulis rectansulIs TIF C, M G8, NP P, dcc.::
HIF. q MCq, APq Scc. Ideoque li balis A CB Cic P’acab0-
la: ceir Ongula = =ABX ABCD. Si batIS si F L
liplis, Onsula exic = 3 AB x ABCD. Si basis Lic TTy Per.
bola cujus diameter cransversa c +: Onsula erie
= AB =ABKABCD. Ouae cubacura est Vneu.
larum Cylindri Parabolici, F.Iiprici et Hyperbolici, a
Grez. a S. Pincentio inventa, de ab A. P acquet in Cylindricis turse demonitrata: Idem
Vero ante hOS PExstItiE Dolter RuharduS bius (Teu Wbice) in Tuo Temisphae-
rio aissecto. Facem methodo alta plurima. Ongula vel Ongularum Frulta planis
abscilla plano BCD parallelis menlurentur: Si lumma Seriei HEq, MGG, NPq, eC
Pollinrehiri. Poceltque adhiveri pro menturando. decliri fundo ralis Cerriliarii.
Elementa curra Superticiei Ongula ANP TUnE F C, CY8, _C.:: TIF, MG, dc.
:: OHC, OMG, Sc. Ex quibus constiuitur Superticies Conoidis rocatione Figuia
AECB circa AB peniui Ereo. Vngulae = p us Convidis. Ideogue SI A NP sit
semiseementum Circuli, Conocides erie scementum Sphaera, et Ingula
XOAPK=
ciei Oa  CHCMaLIS.
PC
2n P = P P. quae est Ouacracura Superti.
Clrolb. Si R P sic = P P, oECIC Summa Cinuum reCtOruM in AECU AP, cumque
=AAXAB - R. C. linui verso ducto in Radium.
De Aonularibus, propositione s A. Paequeri demonstrarae ex centro Cravilaris.
Sit PZ F PD, _ quaevis FiGUTAD HI L. AXem ha-
benS AIM TD P. Solidum rocundum à Figura
DHE cirea rectam PZ rotata senirum, dicitur
Annulus: e Speciacim Annulus dicitur Circula-
ris, Parabolicus, Fllipricus, Lyperbolicus, prout
Fieura genurix elt Circulus, Parabola, Elliplis
vel Froverbola. Si Annuli PoluSP E in ipsa Fi-
vicaris in circumrolulio LISuX: eric Annulus =   Der invema Guldini e
W altisii.
SnPrOAP=
E AP
ep.
Surae perimetro, annulus dicitur Clausus uc F. F P: SI P sic extra perimetrum, An
nulus dicitur Patens ut DFIE. Pars interior Annuli dicitur, qua genita est d
Parte Fipurae interiore MIHIC, exterior qua ab exreriore MI FLD
Sit D = Figurxe genetrici DHR, ec =Peripnera quam deseribic centrum Gra-