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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 105v, page id 00068193:0212
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De Motu difformi seu accel. vel retaro
dussea cudorum (0. 1. 8. 27. 64. 125. etc.) uo nempo hae diffe
tentra sunt 1. 7. 19. 37. 61. qui reptraesentant dicta spatia Aisiet
I(IT2SZCIC, 2C25353C2C etc. posito primam ArsiCA etse 1, et
tempora A1F, 1527, 2538
secunde sunt 6. scilicet
0. 1. 8. 27. 64. 125. Cubi.
1. 7. 19. 37. 61.
6. 12. 18. 24.
6. 6. 6.
numem patiorum.
differentiae primae.
differentiae secundae.
In casu velocitatis propontione temporum triplicatae erescentis
numeri spatia dicta aequalibus temporibus percursa repraerentan
tes sunt differentia biquadratorum. Et horum spatiorum pro–
inde differentire terriae sunt 24 scilieit
9. 1. 16. 81. 256. 625. Sequadrati.
1. 15. 65. 175.
369.
14. 50. 110. 194.
36. 60. 84.
24 24.
atque ita porro m altioribus.
isdem positis media arithmetuca temporio velocitat,
qua motum mobile uniformiter eodem tempore tantundem quan
tum nunc longitudnis percurrisset, si velocitates sint n temponu
ratione simplico, duplicata, triplicata etc. Mt (respective) portio ve
locitatis ltiae acquisitae dimidia, tertia, quarta etc seu gene
-
caliter portio gus secundum numerum qui est caponens multipt
cate rationis unitate auctus.
Nam ad cum modum quo ratioainati sumus propo. 4: huc, si
rectang. H 4F sit aequale areae A454 Ct, et A sint tempora
ac TC veloeitates, tunc HA repraesentat velocitatem temporis
mediam arithmeticam. Jam si sC sint ut quadrata, cubi, bi
quadrata ete ipptarum AP, erit sea nota paraboloidum quadatus
AA
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numeri spatiorum.
differentiae primae.
differentia secunde
differentiae tertiae
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