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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
# Folio 3v, page id 00068010:0006
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Scholium. Cnepiriantur figurae duae,
ubi in priore progressus fit per lineam
pertam f, et huic in directum adje-
tam vertam a; regiessus autem (per
punita designatus) ab extremo adjerta
a, in eadem certa totali f+ a fit
per pertam b; ita inorerta f+a re-
manet e, adeoque est f+ a - b = + e.
da posteriore progreesus fit ut ante,
sed regressus in eadem ft a per ipam
tertam d majorem quam ft a, et ex
cedentem quantitate g. Unde talis
progressus eet falsus sive putatitius,
et qui sic progredi se putat, revera re-
greesus eet quantitate seu mole g. Ef est fta - d = -9
dtaque signum + desionat progreesum,
Et quod
signum - regrecsum, u inlineis, idem
in aliis augmentis et derementis
intelligi potest, velut in accepto et
expenso.
(25) Defin. Si sit a + b = f et sint ipso-
rum a, b, fi quantitates pos itiva,
dicetur f. Totum et a, b, dicen-
tur parter. Odem que est, si sint
plura, ut a + b+ c = f. Requiritur
ivitur, ut quantitates sibi addi,
adimive possint, simulque ut sint po-
sitivae.
(26) Defin. Minus eet, quad aequale est
parti alterius nempe majoris verb. gr.
sit f- a + b et g = a dicetur f
majur, et g mrinus, et scribetur
r g et gr f.
Setolium. Caterum cautio in definitione
totius et partis expressa, adeoque
etiam