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# Title: LBr. 695 · Oldenburg
# Folio 41r, page id DE-611-HS-860722:0081
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quas diximus, particularium, ait, In quauis aequatione habente ejusmodi
relationem inter radices suas, ut data vna reliquae omnes ope ejus possint
inveniri, 1. Regulam constitui posse, qua ipta reducatur ad simplucent
aequationem lateralem: 2 vel, si duarum Radicum adminiculo, caeter
benesicio
omnes inveniri queant; carum mn redue eam posse ad aequatione
quadraticam, radicibus istis duabus inveniendis accommodam: 3 vel,
si trium radicum ope reliqua omnes possent inveniri, reduci eamposse
ad aequationem cubucam pro istis tribus radicitus inveniendis, at que ua
de caeteris omnibus in infinitum: 4, dalis aequationibus duabus
tribusve, nouam aequationem inveneri posse, cujus radiae sit
radicum aequationum datarumt summa vel earum disserentia, vel
productum, vel (verbo dicam) quod libet quod conttitui potest ex
radicibus vel per radices aequationum superiorun priorun.
In litterit suit, 20 Aug. 1b7 5: datis, porro addit de methodo sua,
escit
aequationum surdis radicibus accommodata; probabile, este, laudati
Germani methodum universalem, quando vulgasa fuerit, magis
esse compendiosam sua: cum (ve verum fateatur) inventio particus
larium canonum Conus namque. canon semper inseruit omnibus aequa
tionibus, eodem numero dimensionum conttantibus) sit admodum
laboriosa, quin et excedens quicquid hactenus in pranin abierit: st que
Sic pergit) si ipsius methodus non compendifaciat meam, dubito, nunt
integri anni spatium suffecerit ineundo calculo canonum aequationum
pro coprioribus dimentionibus: Allamen mea methodi ratio fere me
persuasum tenet non dari aliam compendiosiorem; quin in aquanlla
cubicis et Bhiquadraticis majus habet compendium ulla mihi onquam
visa: verrom in immensum augelur labor auetit dimensionibus: et si
quis latorem subire vellet calculandi canones, lubens ipsi communicare
methodum meam demonstratione munitam: Cum, ve quod res est dicanu
in opere tam taedioso me destituat patientla.
Idem in exitola, oct. 3. 1675 scripta, ait, variando signa quanlitatum
radicem onam componentium (pro vnaquaque dimentione respectiua)
omnes alias radices componi, et methodum canones hosce invendendi
in eo consislere, ve deprematur semper aequatio a grudu supertore ad
gradum inferiorem.
si de aliis Gregorii Scoli inventionibus scire aues, hac porro
habet collinius;
1. Alum en stalia reducem factum Pondini A. 1668. ostendiste mano
Scriptum quoddam de Maronomia, P Lanelarum T Reorias ad methodu
Geometricam reducens, quod dicetat aliquando forre in lucem
emissum iri: ostendisse eodem tempore aliud scriptum suum
Dioptricum; Sed Doct. Barrouii lectiones, de eo argumento deinces
edita, in causa suient quod illud supprimere. Statuerit, saltem
oare nocres gare sasenes et cauranes ca dere cam as end