Philosophiae naturalis principia mathematica . em conftruftiones Mechanicas quibus hanc feriem proxime afTequerer;cujufmodi funt hse : Age reftam AB , & erit fegmentum B^A=|AB_^BDxtAD proxime ; exillente fcilicet errore tantum .-^.Vdx-^^c. in defeftu : Vel proximius, erit fegmentum illud (bi- feftoADinF, & aaareftaBF) = ^-^\-4AD; exiftente errore fo- lummodo -^y dx-^^c. qui femper minor erit quam ^^ totius feg- memi, etiamfi fegmentum illud ad ufque femicirculum augeatur. Sic & in Ellipii BA^ , SJ^id. Fig. Tracedent.] cujus vertex A,axis alteruter AK, & latus redum AP; cape PG=iAP-H-^^^=^^^xAP

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Philosophiae naturalis principia mathematica . em conftruftiones Mechanicas quibus hanc feriem proxime afTequerer;cujufmodi funt hse : Age reftam AB , & erit fegmentum B^A=|AB_^BDxtAD proxime ; exillente fcilicet errore tantum .-^.Vdx-^^c. in defeftu : Vel proximius, erit fegmentum illud (bi- feftoADinF, & aaareftaBF) = ^-^\-4AD; exiftente errore fo- lummodo -^y dx-^^c. qui femper minor erit quam ^^ totius feg- memi, etiamfi fegmentum illud ad ufque femicirculum augeatur. Sic & in Ellipii BA^ , SJ^id. Fig. Tracedent.] cujus vertex A,axis alteruter AK, & latus redum AP; cape PG=iAP-H-^^^=^^^xAP. InHyperbolavero, cape PG=t AP+^^^^^tr^xAP. Et ada reda GBE abfcindet tangentem AE quamproximeaequalemarcuiEI-liptico vel Hyperbolico AB , dummodo Arcus ille non iit nimismagnus. Et pro Area fegmenti Hyperbolici BM; inDP cape MD = ^\ & ad D & M erige per- pendicula D/3, MN occurrentia femicircu-lo fuper Diametro AP defcripto : Eritque-^^^^x^AD^B^A proxime: Vel proxi- P mius, erit ^-^^^^^^x^ad^BM; fi modocapiatur DM=^.. 32- EPISTOLARUM

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Keywords: ., bookauthornewtonisaacsir16421727, booksubj, booksubjectmechanics