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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 6
# Folio 19r, page id 00068208:0037
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puncta et
sit planum Horizontis ABE. verticale ABC, reB aequales sit sin sublimi
punctum D, in plano verticali superto recta horizontali AE, et jungendo Ad, BD, CD, existant duo
aeque elevata, et
plana rigida, ABD mobile circa AB tanquam axem immotum, et BCd cohaerens priori, mobile
circa axem Bd, sed qui ipse bintiquest mobilis puncto tantum B immoto eaque lege, ut
punctum o sempe maneat in plano verticali super AE, et punctum C semper in plano
verticali super AB, quaeritur an et quomodo effici possit ut puncta e et D durante
motu semper   qualiter absint ab horizonte, seu maneant in eodem pluno
nomzontali. Transeat ergo C in (C) et D in (D) oportet (C)D) esse horizanti parallelam
DatiY BC vel BC) assumatur B(F),  sinus anguli
rotationis rectae BC, ergo datur et C) (F). Rursus datur A(D) = Ad,  et datur etiam
 Est autem CD aequabis ipsi () (1)
= (C) (C) ex hypothesi Ergo datur et AE) = AD - (C) (F)2 ergo dabitur et
3E) -
in Bd = BE
2
s
p
2
(C)F
2
=BD = BE) + (E)
+ ( (C) (F). Ergo BD = AB + AD ( (C(F) + ()F
Ergo
evanescit CF variabilis, quode esedabatur, regeadeum praestar potest
posito quad ratum a Bd aequari duobus quadratis simul  ab AB, et Ad, seu
oportet
angulum BAd esse rectum
sed praeterea cum BC est verticalis ideo
cum utique cd semper sit horizantalis utique angulus oportet angulum DeB esse rectum
2 Hinc si cB = AB, fit Cd = Ad
erque  B D = BC + CD seu CD = AB + AD = BC
2
sed (F) E) = CD est autem (F)E, 
x
AF = Ad - (C) (F) et
A(F) = AB - BF) et A BF, = BC - (9F). Et fret hinc
V
AB + B F
2
2
- 2AB. SBC -CF + BC -((F,. Ergo fiet
F) (E) seu s CD seu (ABA Ad - BC = AB= BAB - 2AB + BC - CF + BC. (  Ad) (C)e)
AF
seu fit 2BC = (C) (F)
2
qse
= 2 AB. SBC- CF seu 4BC + (C)F,- 4BC. (C1
AAB
+AB. BC = 4 AB. CF) L ubi si facerem AB = BC ex, anescerent caetera
praeter (C)(F
e
Itaque resabsante obt et perfecte obtuneri non potest, sed
tantum appropinquando
si res processisset commode haberi potuisset Collis Metallicus
qualis est
suster
agglutinatae
nullum hiatum inte aperiendum sese et claudendum admifferent
si DCCd semper essent in eogem plano cum basi ABAB
Complicat naviu AABB manent immota  Dtert ad horczentem ABB
et in eum tandem pervenit, manens seuper in verticali plano AAd; sed C et C opposita maventes
semper in verticali plano ABC tnden sopi appopinquant donem pervem ant
simal in horit outem