Lectures De Potentia Restitutiva, Or Of Spring, fol. 17
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.
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The machine reads it as
- Thave here already Thewed then that the porrerot
- all Sprinssisproportionare tothe deprec ot Aexure,
- 2iz. One deoree ot Aexure, or onc space bended hath
- onc porer, tro hath tro, and chrechrach threc, and
- (0 Formard. And erery point ot the space of Aexure
- hatha peculiar porver, and consequentlr chere being
- intinite poines of the space, there mult be infinite de-
- grees oF porer.
- And consequently all thole pomers beginning From
- noushe, and endins at the lalt degree ot tention or
- bendine, added together into one lum, or apgrerate,
- Will be in duplicate proportion co che spacc bended or
- degree oF Aexure; that is, the aggresate oF the
- porvers oF the Sprins cended trom its quielcent po-
- Aure by all the intermediate points to one space
- (Beit Wrhat lenoth vou pleale) is equal, or in the
- Tame proportion to the square ol one (suppotins
- the Caid space infinitely divisible into the Fractions ot
- OnC;) totmo, isequal, or in che lame proportion to
- the (quare ot trro, thatistour; to chrec is equalor
- in thelame proportionto the (quare ot chree, thatis
- nine, and (0 Formard; and consequently che agore.
- sate oF the Crstspace willbeone, oF the second space
- will bethree, of the third space will be sive, oF rhe
- tourth wils beseren, and so onmards in an Rrichme-
- cical proportion, beins the degrees or excesses by
- Whichthele aggregates exceed onc another.
- TheSprins cheretore in returnine from any degree
- oF Aexure, tortich ic hach been bent by any porrer
- receiveth at crery point of the space returned an
- impulse equal to the porver oF the Spring in that
- point ot Tention, and in recurnins the irhole it re-
- ceireth the wrtiole aegregate ot alltheforces belono-
- instothe oreatest degrecot that Tension trom Which
- it returned; (0 a Sprins bent tro spaces in its return
- reccivech Four degrees oF impulle, chat is, three in
- the trst space returnino, and onc in the second; 10
- Bentchree spaces it receireth in its Wrhole return nine
- deorees
Cite
Lectures De Potentia Restitutiva, Or Of Spring, fol. 17. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/859264114:0023?run=74