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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 161, page id 00068192:0161
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ANP erit quaesita, ut consideranti
patet
P. LuI
probl. 3.
Exhibere figuram tractuime
bilis circa axem immotum coerati
proportionalem.
Sifiguram planam postusa
mus, tantum in praecedriti figura
Sconstructione, SUMAMUS MN.
tales, ut sint in ratione composita
sectionum, V distantiarum super
ficiei ab axe; &t figura AN P erit
simus
quaesita Sinsolida contentiifiat
cyLinder rectus, cujus basis figura
ANP constructa secundum pro-
blema praecedens, altitudore-
rosit non minor maxima MPT
Speraxem C transcat pla-
num, quod ad planum AQF. an=
gusum faciat semirectum, et un
qula per C prius planum abscissa
seu portio cxLindri inter peanaduo
es
superficiem cyLindri comprehen
sa erit solidum quaesitum.
Lrop. X. V7 probl. 1.
Motum reccilineum ad eogruni
formiter distributum datimobilis
rigrdi
rigidiinuenire cujus tractus sit
tractui ejusdem mobiris circadatum
auem immotum oyrantis aequasis
seu invenire Longiudinem hujus
traccus.
Pigura AWP construcice se-
cundum probl. 2. seu prop. Xu in-
sistat cysinder ungulae in problem
praeced. constructae aequalistum suma
tur recta quae sit ad alcitudinem
hujus cxdindri, ut arcus ab asiquo
mobilis puncto durante couratione
descriptus ad ejusdem distantiam
ab aae; t mobise moreaturmotu
rectisineo, itaut quodsibet ejus puncti
rectam describat praedictae aequatem
is erit quaesitus, rectahaec erit Lon-
gitudo tractus per defin. 2.
velocitate in
universum