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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145	91
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148
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150	93
151	94
152	95
153	96
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155
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157	97
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Scan	Original
141	87
142	88
143
144	90
145	91
146	92
147
148
149
150	93
151	94
152	95
153	96
154
155
156
157	97
158	98
159	99
160	100
161	101
162	102
163	103
164	104
165
166
167
168	105
169	106
170

Scan	Original
141	87
142	88
143
144	90
145	91
146	92
147
148
149
150	93
151	94
152	95
153	96
154
155
156
157	97
158	98
159	99
160	100
161	101
162	102
163	103
164	104
165
166
167
168	105
169	106
170