Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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SUPPLEMENTA §. III.
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<
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nem quancun-
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que.</
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ſæ ſit infiniteſima, & </
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<
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ordinatæ eſſe ordinis cujuſcunque, vel utcunque inferioris, vel
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intermedii, inter quantitates finitas, & </
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mi.</
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<
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pro ratione fi-
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nita.</
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poteſt curva tranſire per quotcunque, & </
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<
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adeoque per puncta, ex quibus ductæ ordinatæ ſint utcunque in-
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ter ſe proximæ, & </
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<
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vis infiniteſimo-
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rum ordine.</
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curvæ inventæ, vel quas oſculatur quocunque oſculi genere,
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poteſt differentia abſciſſæ ad differentiam ordinatæ eſſe pro di-
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verſa curvarum natura in datis earum punctis in quavis ratio-
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ne, quantitatis infiniteſimæ ordinis cujuſcunque ad infiniteſi-
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mam cujuſcunque alterius.</
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<
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ejuſmodi pen-
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dere a poſitione
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tangentis.</
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curvæ inventæ inclinata in angulo finito ad axem, fore diffe-
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rentiam abſciſſæ ejuſdem ordinis, ac eſt differentia ordinatæ:
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">ubi tangens fuerit parallela axi, fore differentiam ordinatæ or-
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dinis inferioris, quam ſit differentia abſciſſæ, & </
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abi tangens fuerit perpendicularis axi.</
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<
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ſa terminetur in
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limite.</
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tis, quæ vel augeatur, vel minuatur utcunque; </
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dinatæ erit ipſa ordinata integra: </
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dinata ſit nihilo æqualis.</
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<
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cunque recedere
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b axe.</
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cepti binis limitibus quibuſcunque, poſſunt recedere ab axe,
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quantum libuerit, adeoque fieri poteſt, ut alii propiores aſym-
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ptoto recedant minus, quam alii remotiores, vel ut quodam
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ordine eo minus recedant ab axe, quo ſunt remotiores ab aſym-
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ptoto, vel ut poſt aliquot arcus minus recedentes aliquis arcus
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longiſſime recedat.</
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<
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tranſire per quævis data puncta.</
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<
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poſtremum crus
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aſymptoticum,
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& alia crura a-
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ſymptotica.</
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aſymptoto ad partes C', & </
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vel repulſivus, vel attractivus; </
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<
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mitibus quibuſcunque interceptus abire in infinitum, ac habere
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pro aſymptoto rectam axi perpendicularem, utcunque proxi-
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mam utrilibet limiti, vel ab eo remotam.</
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<
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di primum.</
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euntibus binis interſectionibus in contactum, tum concipiatur,
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ipſam diſtantiam contactus excreſcere in infinitum; </
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<
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æquivalet rectæ curvam tangenti in puncto infinite remoto,
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adeoque evadit aſymptotus: </
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<
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mos duos limites coeuntes fuerit arcus repulſionis; </
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<
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arcus aſymptoticus erit arcus attractionis. </
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<
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cus evaneſcens fuerit arcus attractionis.</
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