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# Title: De Constructione (shelfmarks LH XXXV, I, 17, Bl. 1 - 17; LH 35, I, 17, Bl. 1 - 17)
# Folio [4]v, page id 00066617:0008
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Applicemus hanc constrnctionem ad Paraholam Casum praesentis problematis Mimma
ex puncto dato ad parabolam ducendae, ubi ex aequatione generali fit haec particularis.
F 92 yt
X (+ + 1) +24fy
= 2ga
+ F) + 2d qa 1) B  o
et divisis omnibus per +4, fierc aequatio haec:
Ergo lr0.
r1a.
ergo ( B m.
dq
v
m e (+ +) (+ +), 2s + 2a, n 1 (+ +) 2d
2mAtb
10
6bx + Emp
secta PH
Irn
4mrdb
A P
n
M F
esrn
A- s.rn
t
Veniamus ad lineas quae
Epsius facilitos et difficultas,
2 1
X 6
H = nY.
V X (+ + 1+) 2sa (+ f) ida )) X 50
Vc
2a
m
rn
a6) emil b (+b)9 sr
ne seu
n7
Srn
= +
Rect E P on
6br + 2mr
srn
reapse ducendae sunt ut appareat
E, o.
2 mr 1b
+ mr
PKe
-n
6brIrn +2mr 2-rn
2
emitb
cum 2b
sive
construdu
6b7+ 2ro +b
S-rn
sA
q L radius: () dungatur recta 2 K et ex K erigatur perpendicularis
ad eam k Hb quae possit:
hic tatem ut 2mr b
6br srn t2m
et erit G n
et
Jam
Ko
Pri
nv
2F- ru
Quoniam b in nostro arbitrio est, ponamus
sit B srn, fiet  b - + 2mr S- rn
 sive erit p r.
ve
2m +6 pr- in
jam DY e + S- rn
rn
M. et PK e, - n (+ 2mr s- rn
e+
Emrt6rs-m
+ 3
sn mr
Jungatur recta 24t et ex puncto
M
rectam normalis erigatur
 ps sita
 quae possit nr rumr
= n+
R ad eam
+nr, sive tur + mr
2
ac centro 2, radio 2 H, describatur circulus, qui parabolam secabit in punctis
 ex quibus demissae in rectam XV indefinitam, axi paralletam perpendiculares
V erient _ y quae sitae, quae paraulae axi parabolae ordinatim applicatae
puncta sectoparabolae dabunt ad quae ducta recta ex puncto dato
parabolae perpendicularis
pplicetur recta
on
mule
in
5
est.
Brevissime ergo sicpro parabola datae
EF it ut ab axe ejus biseretur ad axi sit normalis et
curvam ottingat utrinque. Ex punctum En doratio intra
parabulum indefinilo id axi paralleta pegendia in 1B ultra E continuata, sumatur Ek (vel PR
quia puncta E. et P hic coincidunt) Brevissime sic e sit i linea quaedam, b, cujm vulor
ejus duplum subtrahaturm residuau 
1-n
nr in
curvam utrinque attingat in punctis E. et F, producatur ullra E, inque ea ita pr 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 H retrogradiendo in eadem linea sumatur B B e
in du
Spu Ec 3 erigatur ducatur versus vertilem
ergo