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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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Lblematum Solutio.
Inde Semtis,
IOR.
anitestum est, in construcione Cycloidis, Peripheriam CMCI SC
nerancis, proprer continuam lui quae supponitur ad rectal  A Recta
applicacionem, huic aequalem ette: Adeoque e semistem leluti, Z. Y.
E. Et quidem, paccicularim, dum Cicculus cenitor, balin in E continecto,
mincto suo Dneante designat Cycloidis punctum Z, manitetcum elt (propter ean-
dem continuam cusuoylui) rectam e A congruere currae 8 L, hoc est (ducta Z Z
baliparallela, quae occurratin Z circulo C. Z F cirea Cyclouis aXeMt) CurrX LL.
Adeoque e reliquam reliquae: nempe sF, hoc eltZ Z, ipsi ZC. EF lic Hbrgue
Recta igicur Z L aquac ubique aggregarum Arcus e dinus recti, Sinui verto
C P convenientium.
4. Si super circulo CZF cirea Cycloidis Axem
constituro, aut huic aequali, exigatur Cstindrus re
Etus FZC F, altirudinem habens CiT, diametro Ba.
Sis aequalem: Pota suverficies hujus Cylindei (curr
batibus) est dupla Cycloidis ACDF; (nempe
dux bales Cylindri FIg. 2. Tunt duplae circuli, C 2. F
tig. T. _ Cylindrica superticies curra, dupla reli-
quorum segmentorum:) Acque si eadem superticies
(supersicies, inquam; non Cylindrus, ne norae su-
perticies sccando cmerganc) plano F CIF Per aXeM
bilecetur: Semisuperticies Cylindri erit dupla semi-
cycloidis A FC; (nempe duae semibales, Tunc du
plae temicireul Ci2 Lfβ. E; ee Semiestindrica Lu.
RXF 2
Semicy-
ctois.
Et ta