. Acta Societatis Regiae Scientiarum Upsaliensis. Science. io8 ( o ( 5& Rea ciirv3E, cujus abfciHa eft z & ordinata , fumendo y — ~ mutatur in alium ipfi jequalem, cujus abfciffa eft ^ & ordinata — . Hxccum formam habeat ordina- tx curvx inqua quadrandahucusque fuimiis occupati, niii v^uod fi^no negativo afficiatur, patet aream hujusad- jacentem abfciflk & ordinatie,acqualem efle areae illius ad- jacenti abfciflcE ultra ordinatam produQix, modo earum abfciffe z & y habeant relationem exprefiam iEquatio- ne — Quare fi in expreffione areae Probl. 4 in- ventae pro curva cujus
. Acta Societatis Regiae Scientiarum Upsaliensis. Science. io8 ( o ( 5& Rea ciirv3E, cujus abfciHa eft z & ordinata , fumendo y — ~ mutatur in alium ipfi jequalem, cujus abfciffa eft ^ & ordinata — . Hxccum formam habeat ordina- tx curvx inqua quadrandahucusque fuimiis occupati, niii v^uod fi^no negativo afficiatur, patet aream hujusad- jacentem abfciflk & ordinatie,acqualem efle areae illius ad- jacenti abfciflcE ultra ordinatam produQix, modo earum abfciffe z & y habeant relationem exprefiam iEquatio- ne — Quare fi in expreffione areae Probl. 4 in- ventae pro curva cujus abfcifia eft z & ordinata ^ 71 4- r I ? : , pro z fcribatur f, habetur area cur- I—<22,«+z-"' ^ vac cujus abfcifia eft z & ordinata ; adja- 1 — z" -f- z^"^ cens abfciffe produ8:te. Qua quidem ratione partes are^e geometricc rationales facile inveniuntur. ' / // // /// /// I . i?r. 2;" ^'' , ^i"* ^"" in f- -— 1 . : &c. ;" r—n r—211 r—3« r—4» Partes vero iiTationales fimplicius ita inveftigantur: Producatur OP ad s (vid. Fig. 5. quae pars effe in- teil'gdtur Fig. 4.) ut fint OS,'OP,OS continuepro- portionales^ ducaturque sA, unde per Probl. 4: prima panium irratio- nalium areae curva£,cu- jusabfcifla 2 = Os& ordinata. erit I _ m 71 Rr — a*(sA; AO) O^. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Vetenskaps-societeten i Upsala. Stockholm
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Keywords: ., bookdecade1740, bookpublisherst, booksubjectscience, bookyear1740
