Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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væ parabolicæ. </
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<
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xml:space
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">Qua utraque inventa, ulterius inde inveſti-
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<
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gans, in alias iſtas curvas paraboloides incidit, quibus rectæ
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æquales abſolute inveniuntur.</
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<
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<
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<
s
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echoid-s2274
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xml:space
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">Ac de Conoidis quidem ſuperficie in planum redacta, ne
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quis forte teſtimonium deſideret, pauca hæc adſcribere vi-
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ſum eſt ex literis viri clariſſimi, atque inter præcipuos ho-
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die Geometras cenſendi, Franc. </
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<
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echoid-s2275
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xml:space
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">Sluſii, quibus eo ipſo anno
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mihi inventum illud, ac prolixius forte quam pro merito,
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gratulatus eſt. </
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<
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">In quibus literis 24. </
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<
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<
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">da-
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tis, iſta habentur. </
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<
s
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xml:space
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">Duo tantum addo, unum &</
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<
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">c. </
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<
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xml:space
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">Alterum
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eſt, me has omnes curvas, ipſumque adeo locum linearem in-
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tegrum, nihili pene facere præ invento hoc tuo, quo ſuperfi-
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ciei in conoide parabolico rationem ad circulum ſuæ baſeos de-
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monſtraſti. </
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<
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xml:space
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">Hanc pro circuli quadratura pulcherrimam ἀ{πα}-
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{γ@}{γὴ}ν præfero libens iis omnibus, quas ex loco lineari nec pau-
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cas olim deduxi, & </
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<
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xml:space
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">quas tecum, ſi ita juſſeris, data occa-
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ſione communicabo.</
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<
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<
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<
s
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echoid-s2286
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xml:space
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">Anno autem inſequenti etiam ſuperficies conoidum hyper-
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bolicorum & </
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<
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">ſphæroidum reperi, quomodo ad circulos re-
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duci poſſent, conſtructionesque eorum problematum, non
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addita tamen demonſtratione, Geometris quibuscum tunc
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literarum commercium habebam, in Gallia Paſchalio aliis-
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que, in Anglia Walliſio impertii, qui non multo poſt ſua
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quoque ſuper his, una cum aliis multis ſubtilibus inventis
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in lucem edidit, fecitque ut noſtris demonſtrationibus per-
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ficiendis ſuperſederem. </
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<
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">Quoniam vero non inelegantes viſæ
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ſunt conſtructiones noſtræ, neque adhuc publice extant,
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placet hoc loco illas adſcribere.</
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<
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style
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xml:space
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">Conoidis parabolici ſuperficiei curvæ circulum
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æqualem invenire.</
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<
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<
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<
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">TAB. XIII.
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Fig. @.</
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axis ejus B D, vertex B, diameter baſis A C, quæ ſit axi
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B D ad angulos rectos. </
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<
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xml:space
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">Et oporteat ſuperficiei portionis cur-
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væ invenire circulum æqualem.</
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