Huygens, Christiaan - Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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143

49[Figure 49]11De linea-
RUM CUR-
VARUM
EVOLUTIO-
NE.

HOROLOGII OSCILLATORII

PARS TERTIA.

De linearum curvarum evolutione & dimenſione.

DEFINITIONES.

LINEA in unam partem inflexa vocetur quam
rectæ omnes tangentes ab eadem parte contin-
gunt. Si autem portiones quasdam rectas lineas ha-
buerit, hæ ipſæ productæ pro tangentibus habentur.

II.

Cum autem duæ hujusmodi lineæ ab eodem pun-
cto egrediuntur, quarum convexitas unius obverſa
ſit ad cavitatem alterius, quales ſunt in figura
adſcripta curvæ A B C, A D E, ambæ in ean-
22TAB. XI.
Fig. 2. dem partem cavæ dicantur.

III.

Si lineæ, in unam partem cavæ, filum ſeu linea
flexilis circumplicata intelligatur, & manente una
fili extremitate illi affixa, altera extremitas ab-
ducatur, ita ut pars ea quæ ſoluta eſt ſemper ex-
tenſa maneat; manifeſtum eſt curvam quandam
aliam hac fili extremitate deſcribi. Vocetur autem
ea, Deſcripta ex evolutione.

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Scan	Original
121	76
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129	81
130	82
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134	83
135	84
136	85
137	86
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141	87
142	88
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144	90
145	91
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150	93