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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 17
# Folio 4v, page id 00067979:0008
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Applocemus hanc constrnctionem ad Paraholam. Casum praesentis problematis Minnas
ex puncto dato ad parabolam ducendae, ubi ex aequatione generali fit haec particularis.
+q
V4
X (+ +  1F) +24fy
+2ga
(+ F) = 2dq a 
IB  r, d
et divisis omnibus per + 4, fietC aequatio haec: V X (1+ 1+) 2sa (+ +) ada )  50
ergo lr0. m e (+ ) (+ 4), 2s + 2a n 1 (+ f) id
rpa.
Ergo β A m.
dq 
10
2mMtb
D B n
-6br + 2mr
Irn
4mrib
-obesmtmr Fsen
Recta PH
8. Frn
-nr.
ab) eemel 6
srn
seu  = r
+ 2a L
(461 qoa
Roc EP 1 
-6br +2mY
Veniamus ad lineas quae reapse ducendae sunt, ut appartat constructa
apsius facilitos et difficultas
2 e =
X 07
EP, 0.
2m, 1b
PK,
imAtb
+mr sam
6brSra +2mr 2srn
6br + 2m + b
S.rn
 L radius: ( dungatur recto 2 K. et ex  K erigatur perpendicularis
ad eam R H quae possit: Quoniam b in nostro aetbitrio est, ponamus
hic talem, ut 2mrb
6br sentami
sit B Srn, fiet n b + 2mr S- rn
et erit , L 2n  sive erit Gr.
jam
8-
Rop mo
2S- ru
e
2mr +6prin
sin
n. et PK  -n (+ 2mrs-ra
Jungatuo recta RI
RCH
1+1
2mr +6rS-rn).
S-in mr
2K  et ex puncto R ad eam
rectam normalis erigatur  quae possit n rnm
+nr, sive tur + mr
ac centro 4, radio 4 H, destribatur circulus qui parabolam secabit in punctis
, ex quibus demissae in rectam XV indetinitam, axi parallelam perpendiculares
psita
i
d
mr
ur
mY
2
YV erient _ y quae sitae, quae parabolae axi parabolae ordinatim applicata
puncta sectiois parabolae dabant ad quae ducta recta ex puncto dato
cparabolae perpendicularis est.
applipetur recta
so
mec
Brevissime ergo sicpro paraborae datae
 EF i ut ab uxe ejus biseretur ad  axi sit normalis et
curvam ottingat utrinque. Ex punctu E dantro intra
i parabalum indefinite ED axi parallela perpendia in IB ultra E continuata, sumatur E K (vel PR.
quia puncta E. et P hic coincidunt) Brevissime sic et sit : linea quaedam, b, cujus vulor
ejus duplum subtrahatur residiai
nra
curvam utrinque attingat in punctis E. et F producatur ultra E, inque ea ita p in ea ultra E producta
sumatur EK (vel PX, nam puncta E. et P. hic coincidunt), quae sit differentia inter supradictam b et n
Rursus ex K retrogradiendo in eadem linea sumatur R S et m
Esn
ex 6 ergatur tucatur vertus ventrem
sive
ergo