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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 187v, page id 00067993:0376
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circuli
radius 
ncunferentia invenirs
ita rob ea
m
punctim
59
iiculi circumferentia restlatur
d
er  sre caculo
punctur s
le
ebel esse
est problema
invenire punctum X in circulo, centro A descripto
ita ut radius ex puncto B reflectatur in  punctum datum C.
est problema Ahazenis, vide constructiones  slusii et Argenii
per calculum Algebraicum quaetitas, item quae de eo problemate
dixit Barrorius; Slusius et Hugenius constructiones dedere ope brculi
dati et Hyperbolaese secantium. Videamus an aliqua construendi ratio non minus
simplex inveniri possit sine allo calculo. Mihi enim ita videtur, n in
examinandis constrctonitum  elegantiis  in intima intro spiciendum
esse, nec satis dicere Hyperbola fieri constrctionem, sed hypertota genus exami
videndum esse, quid facto opus sit ad describenda, ipsam Hyperbolam.
omissis ergo his nominibus, videndum an multis er adusum incommodis opus
it regulis sive machinis ad rem absolvendam. Certe, quemadmodum in
amasquasdam fanula
Calculo omnia videntur reduri posse ad constructiones Geometricas, ita
in mota, videntur omnia ad certus quasdem in machinulas simplices posse
reduci, quibus in promtu habitis et inter se punctis problmatum constructione
sine calculo absolvantur. Idgerta Ejusque credo in
hoc tam difficili
bilis
problemate dari potest specimen. In centro Aficu sit radius rigidus AX. et
negularum
in puncto et radii X infixa sive juncta sint extrema rectarum XB, XC
indefinite per  puncta B, C, transeuntium, ita scilicet ut tam in B vel C.
fur huc illuc ire, quam 
est difficile A
)  si ex. gr. XC verticillum tangul
in C. fixum in uno loco, sed circa subdem D
centrum mobilem; ipsa autem reus verticilliam ortus
sit vallis instar depressus, ut negula XC inde exire non possit
ubilibet pa E in recta XB, et G in recta AC, quongantur
hombi
deinde sumtis
1Ep
Eita ut
XEFG sit parallelogaum (su crectangata sive rhomboeides). _ ponatur
et jam et radius E si opus est indefinite productus His ita praeparatis
tamdiu ciicumagatur AX circa centrum A, donec regula rigida e A impingul
in stytum exeuntem ex F. ita enim recta X A et X F coincident et
angulus EXG vel BXE erit bissectus a recta AX, (quia semper
intell
incidentiae HXE, angulo reflexionis p  aequalis, quod desideratatur.
quod si problemaue duos habet casue amoto obstaculo styli, et post reposito
aut restitulae, continuato motu, idem continget adhuc semel. adeoque prublema
ouas habebit solutiones.