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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 356r, page id 00068196:0707
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=707
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ad a
ad unat parallet
Datis posttione rectis A
par
suceret rectam C toteru, ut duo
perpendiculore ad AV et EF paralletas
e rperpendiculari ad ipsane
ductam,
occurrentibus cii parallelarum ulteri in
G. et V. fiat GA data. sit CB, b.
u VH V. datae,
VGF et YC similia ergo HT C
et
la
Ergo HIC +b91 +
et fuit H7 ( +b 4d
V
Gtr
HAb+g GVV
. sa in Hyp si ABMX. eut B
eut BSBGYBV  d
seu crit H+ ad AB ut CH ad
d radem pro aliis summatricibus, sumendo
tantum ordinatam summatae pro
V.
2
BC ordinata
2 Ian. 1676
curva. BC odita CP perrendculariis ad axem
EF recta interminata paralela AB axi
producatur tangens C7dum snic rectae oecurrat in T
ex F de mittatu perpendicularis TC in axem-
erit et GVapplicentur in B ut 
ib
rangentes
curva AS. ajo figuram  AB est aequars
rectangulo GT, in BC. porrio alunde habetur
seu habetur summa omnium B GV. Jam etiam
habetur summa omnium BP. Ego et horum differi
tra summa omum GV. BP. Hinc modus ducendi
congater ad figuras quae a me vocantur sumua trices. sit AC curva
onantimic (etsi altrius plane formae esse debeat;:) erit As curva
tangentes
Hyperbolica; seu GV applicotaHyper bolae, cujus abscissa AB. e sit ergo punctum in
quaeritur eL p BG, AH, HT. ut inveniatur
G7Hg. CHF l
11
punctum T. quod statim ita fiet:
pla
et
Logariternico datum C, ad quod debet duci tangens CT. ad est, debet duci recta CY,
ad bi ipsam EF constroitem tatis, ut TG ex occursus puncto demissa ipsam GV facias
esse dale sclicer B5, quae data est res Ergo e tangentium curva Logaa thinibae inventio
unc
edit ad hroc problerma: dutis stuabus rectsiter
Ducere interminalamm ducere rectam datem, ut si ex punctae ocunsu)
natarum AV, una G perpendicularis utria interminatarum) , altera peaedicularis +1 pergendiculari
ut ductae cT sit GV data.
Tetragon
sut
e