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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 17
# Folio 12v, page id 00067979:0024
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est opus tolli fnctiones ex aequatione, modo eae non ingredhantur termnum
ultimum imo contra unle est ens adhaberi; et si veres numeros non quaera
non est opus tolli neque surdos reqfractos ullo casu.
servit hioe instotium
felicis ingorsitiones
non tantum ad radices aqua
tionum, sed et ad or
dinatas curvarum in nu
quando nan lesis
sperato conscnrit
inquirendum in diffi
cultatem moro
seu detrimentur
fact, et utium
diat vyntas quasda
inclinate an transvisae
commodum quod non est in
curbis se secantibus quod sil.
difficile detamea past
iutscorioris, quim
oouqueseune tic sectu
perpendicutiis nec must
pertinent ista ad
In plano HGM
Set igsi HG parallela CF. et recta HC perpendimlaris ad HG
Et inipsa FC. supra vel intra C. punctum L. circo
quod in eodem plano mobilis regula LM. in definile
producta versus M. et vero quaecunque dicturus sum in
eodem sempu plano in
in Cee lantiles s  duc aegila 6B, 2F. Non zona
t machina haec
Quanguam lineae hic latae sunt, regulae scilio Y+ly my im
i aliud admoreati
tamen eanda opein est ut certarum tantam
linearum subtilissimum in ipsis ductem
ratio in designando quaesito ha-
veri possit
Esto aequatio quaedam proposita, sexti exempli causa
gradus; ante omnia officiendum est, ut omnes
ita praeparanda e, ut omnes manciscatur radices
veras; eudemque opera fietiu potso, fiet ut omnes
ejus termini sint alternatim affermati et negati
lgebraici cujus ope
Descriptio, iistrumenti posfacilem nomodum paeparationem
tutcunque effectarum
omnium aquad aequationum gradices geometrice
 et si placet eadem opera in numeris quantum licet
cidn Be sotirui asin eli csit mtep eliar ind t
per secundum longitudinem in medio sectum per rectam BF ita aliu rectam
gulum BEGH. circu cujus ttium B latus tatum ilnguinte continuatum
sumtum BC sit velut axem mobile sit partio ADEB, et cirta
ipsum planum BCGH. motiles circa alterum latus in longitudine
simtum, velut axem in extremitate plani portionis
planumin conte circa alterum latus GH ve mobilis sit portso
quo factus considerando planum ralocu poctio 1B in eodem
perpendicutrs
in plino portionis
horizontates et iotransocitaliscLm
erigendo utrumque
planum ita ut sit perpendicutare ad planum hujus faginae
totum vas instrirn concidens cum plano pectanguli
interme d BEGH. totum instrumentum er forman
rabebit libri complicati cujo corsum sit vorangulum
exignum ADEB. latera siut plana BEI H; et HGM
inter se parallela et ad dorsum perpendicularia. Esto, ams
in recta HCL. punctum L. mobile huc illuc pin dicta recta) ex
motilisque cum ipso pariteret circa ipsum recta  indefinite
ponducta versu M. ipsi CL mullela sit regula  op. quae des
Y ms. fiet:
X = 2mX +m, X, A
ins + lms X - m et
X - m vocundo Z, trer:
2 Z+m 1 - ms + lms3
Z +m Z - lmsZ + ust
figi in puncto 0 rectae CF immobiliter affigii vel etiam cum quae aequatio un equivaleat
Ergo Y e m n nt. poeesta.
umt 7p 2X + 7   Z
lx - Im- tns  X m
et rcincendo:
e l lm- is uon
X- m X
opus es sursum deorsumque moveri possit, secabit auteme rectam M( datie ton my+ms Xy.
in puncto D. Ex puncto P. regulae un vel resta p.)
nam  alterntium idem praestat:)  exeatitreulies
duae altera
mes adudes conden–
das facile tabulas
mina auttem
mina facilus.
in opricis in
mechanilis
machina explica
et complicari possit
utrmattum
recte dictimin
Geometriam procticm
qua examnetus quae ad
puncta quichendi possi
srumenta proxi grindicra
thilus semper ejumodi elig
majia qualibet radice
 coutre le quel
foit ac quotint de m
par le dit nombre; commese
ontre auguente ile s. est a
ene dem facile Geometrie
s
3
haec aequatio ita
in duls divelletr
m y+5 X
exhben pt.
quam altera ad pamtola
Mx +mspX
ny- xis +
vil y 1X
utta ad Hypertolam
IyX
 njy xl