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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 24r, page id 00068022:0047
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deniunt in mentem
plagula XI. Schedrasmaci de serrebus et)
res lanti nomentius Circa survam
Constinctriam Generalem, sive Trochoeidem Parabolicam, ut
ut non possim non persequi. Descripta intelligatur Trochoerdes nostra
G
AC D.
rescripta sit et parabila, genitricis dimidium
habens latus rectum, ADE. Parabola
genitrix in situ descriptionis, GDH
ejus is tangens planum LM in puncto
F. et BB. ejus vertex D. unibilicus 
desc curvam AB C describens C.
FB. perpendcularis ad curvam
DL. ipsi aequatis et paralle
quia DB Aqualis ett parallet
ipsi LF
 Et FN aequalis
utrique ex proprietate para
bolam posito BP esse ejus
latus rectum dimidium
Et quia LM tangit parabolam, ideo
erit DQ  DR seu R dupla ipsius p LI
Cumque rectae ine pamblieae Apis DB, producatur in
Qdum DS, fiit aequa ipsi DB. BP. et ex nota
parabolae proprietate. SF erit ipsi perpendicularis in F, et
proinde angulus S FM rectus et angulus SFL, et SFM aequales
quanqua i figura id non eta ferat, sed prodideri salia ab
cartio tumultuaria descriptione non potuere. perpetuo Ergo
anguli triangula Ergo recta SF paralleta rectae AL. Jungatur
BN. erit BNp FS. Et ae parallela et Triangula BPN
et SP7sqF. aeqralia et similia.
ergo triangula sQF, (vel Bss)
et RQF. similia. et FQR et BTR erunt similia. Cumue
sunt autem BT eruntue BT. et SF parallesae. Ex tot propiretatib,s innumera
polerunt diui raoremata memo rabilia, sed et quadraturae (: applicando
ordinutas nunc ad sixim parabolae, nunc ad axem Trochocidis,
et solidorum ac
superficierum dimonsiones. Sed quoniam satis
nunc  non nisi curvae descriptionem querimus aequationem
quaerimus; ista iaa
BTad AR BR, qu est posita enem DZ HX. p DR, erit
Q BR FI. X + a. ponendo latus rectum parabolae, 2a
Jam BX
BR,X+ a H
B2ax Erit B4 B F B+
LR
X
x+ a Srar
2
FT V. Nim X habetur FB
nc jam facle habetur FTH YV D. nan habetur V D
Nam habetur BF. (I Q P Y B  a + x
ejus quadratam est
X +ax + a inde amferatur quodratum ipsius BF. et nempe
X
4 ax + 4 fax
fiet: 2X + 2aX + a X- ax ax- a
sie ex
Eitam
FB vel FN
NBF
vel Q P.
l
gulus BFTFNFB.
Qur p 20B,Bp
padrato ipsius FT.
ed iuspica carculi eriorem, um
enim lit  semper major quam B ClixC caleulo posset reri rginsi
X
am u scictom est ( F potius cadere debere ibi ubi paren thesi. (F) inclusu, et
unde et
RBF itolceles, et RF p TF. veris situe et in fius.2
velpaletenoriptune enit BR B B F p F N, BL H L F X. hip DY patilleta DF
eut Triangulum