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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 140r, page id 00068200:0281
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puti
9 Novembr. 1679
scheda ima
Lineam invenire  qum
vectis DABC talem, ut vectis rectus EF
circa centrum E actus et vectem DABC
circa centrum D circump
non  d oiscure, seoc sermper pecc
mo. Motu
 et ieu phoresema est elegans
ingantur alii modi describemi, et explicani
r
mollem solidigem
naturam
hujus curvae, et primum consideretur
ipsa DAF ut quiescens eut propriesas ejus talis,
et sive ponatur oculus cum ipsa circumferri manifestum
est ipsam apparituram quiescentem itemque punctum D
sed recta FE o apparebit perpibulare curvum ABC
quiescentem, semperus eam tangere puncto F uno extremo
E, tatemque esse curoae naturam, ut eo ipso alterum
punctum E semper eandem servet distantiam a puncto D.
Habemus ergo aliam curvae proprietatem
ujus modi:
sit curva ABC talis, ut si in langente
ejus Be sumatur ad easdem semper
partes recta quaedam magnitudine
data BC sit distantia puncti e
a puncto dato D nempe DC
data
sive centro D radio DC
describatur circulus feg et ex sumto in
ex puncto ejus circumferentia puncto e, ipso
e centro radio eB magnitudine dato
describatur arcus circuli secans curvam ABC
a licubi in B, juncta eB ibi curvam tanget
vel ita curvam invenire ABC in cujus plano dato puncto D
intervallo Be descristus circulus secet curvae fangentem in
puncto e, intervallo a B puncto curvae et tangentis communi
vel invenire curvam talem, ut sumto in
tangente ejus. Be puncto e intervallo Bedato juncta ad
datar.
punctum datum D. De sit data
Alius hanc curvam explicandi modus: ponatur
curvam DABC moveri super sangente .
ita ut serum propellat regulum EF sit,
distantia inter D et F semper eadem
itaque res sic fieri potest: ponatur in linea
su recta super immobili super qua incedere
debet curva; esse regula EF mobilis. inserta immobil
ut in ea tantum propelli possit eadem regula
Cum linea rigida D connexa sit immobiliter
manifestum est duin propellitur EF in recta, pr D ABC
fingitur ut potissonum facile apparere quomodo inclinari deben
sit sequatur curva rregulam
Nempe sit D .B2B3B b culus fltus
2B. 2B3B
. jeeau
 ut ubia
itque pap
recta immudbili LM
sinit 1B2B
junctum
mobile circa punctum
cum 2E3F)
ae le ea
 t
i
dem ubi est 3 B. per quod determinatur angulus 2B2 B ad 1B2 B
ilus +D 
24D
senu og tate
cui applicetur
tempe in B incipict a
puncto Drigida recta DF sitque d.B.B)
tsivum ab. transferatur EF in alium
secumdies trarens D per regida, lineam
t 3 cica 2B. pundtut 3B neadi arem