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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 124, page id 1815201908:0181
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PROGRESSTON ES
PROCRESSIONVMGEOMETRTOARNM
AR S T F R TI L
Prorressiones terminatas planis applicat, praeseruum similibus.
Vae de proctesponions Geomerricis secunaa parie halenus amonstummus;
ab sque ollo discrimine lineis, superficiebus, corporibu sque conveniunt: hac enim
ae causa nomen marnitudinis, non lineae perpetuo assumpsimus, 2t propositio-
num uniuersalitas indicaretur. quia tamen superficierum corporum que similium simi-
literque positorum progressiones, si extra invicem in directum constituantur, sinculares
habent proprietates non paucas, visum est operae pretium fururum illas hac tertia ac
quarta parte explicare.
Nota, duplici modo planorum ac corporum procressiones institui posse. primo qui-
rem et termini proeressionis simul sumpri, onam maenitud  a, ac ho-
oeneam comona. Sinis appositi exhibetur: secundus enim terminus N O
amprimo M V, onam maenitudinem MO componit; e tertius OP, cum secun-
ao ac primo, constituit unam maenicudinem MP; omnes denique termini simul
m am componunt maenitudinem MR, continuam ac homoreneam.
Secundus modus est quando termini progressionis similes inter se sunt, similiterque
fa nequeuata positionem qua dantur, constituunt (imul sumper onam maenitu-
linent. BulosModi procressiones (quas quidem in sequentibus prosequemur) exhibent fi-
curae appositae A, B, C, V,
F. I: in quibus termini
constituli; ita vt neque se-
cundus terminus BC; cum
omnes similes sunt simili–
terque positi, ac in directum
primo AB, neque tertius
es secundo, neque caeteri sub sequentes cum praecedentibus componant
SlM