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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 6
# Folio 3r, page id 00067965:0005
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rectas sed cumas non esse lineas
nectas, sed curvas, et aut ordinatas
rectas non esse inter se parallelas sed
ad idem punctum tendentes, vel aliam
inclinationis regulam servantes. Verum
hoc loco sufficit modum explicare generatem,
etsi non semper commodissimum. Si linea
superfici
aliqua in solidi sit descripta, exempli
gratia in superficie sphaerica vel conica
vel cylindrica vel Conica, tunc eodem
modo explicari potest per e exempli causa
2C
sit proposita sit helixem superficie cylindri
descripta cujus sumatur punctum aliquod 1C vel 2C
assumantur duo plana FGHL et item
assumatur planum aliquod FeGM, exeu
exempli causa FAGM cyliadrum terminans,
et recta hoc peanum secaus, exempli
causa axis cylindri pG. et a puncto
Cducantur duae perpendiculares seu minimae
una C.B ad polanum altera cd ad axem
et ex puncto P quo axis occurrit plano
jungatur recta PB ex cujus puncto quolibet
C velC ponatur ad planum aliquod
exempli causa FMGN quod cylindrum
terminat demitti perpendicularis (aliave
semper aliave ordinatim applicato angulo
quocunque semper eodem) si modo planum
aliquod assumatur in quo desigentur
curva et in eo designentur puncta
pis punctis linea in solido ducta respondentia,
quod fiet si verbi gratia ex quolibet lineae in solidi
huius lincae puncto ducatur perpendicularis ordinata
ad illud planum. Haec puncta cadent in
lineam quandam in ipso plano descriptam,
cuiu natula si per per praecedentem modum plugo
ordinatae
cognoscatur, et quaeratur, quamnam distantiae punctium
puncti lineae datae a plano, ad ipsas ordima planum ductae
ordinatas, vel abscissas relationem habeant
tum tunc habebitur modus inveniendi quodlibet
lineae hujus curvae punctum Exempli gratia
in superficie conica in solidi superficie ductae
Eodem modo solidi
quodlibet punctum super ipsius superficiei
punctum
corporis solidi natura cognosci potest;
si inde ducantur ordinatae ad duo plana
diversa et ex punctis ubi ordinatae
plagis occurrunt ducantur ordinatae ad
rectam planis communem quae sumetur
pro directrice, cognit cujus portionies
abscossae quod si cognoscatur quam portiones
 directrice abscissae relatio venu
abeant
ad ordinatas ex punctis in polano sumtis
ad directricem ductas.
e
habebitur relatio
siit
tres quantitur
rectas variantes
planis vidinata
relatte quntum nter dnes variantes siepliratam et alsiseud exhive naturum liaee
abscissum
phibens naturqm
superficie solidi
e lineae in olida datae ad
tcurvae in plano respondentis
ad