Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Table of contents

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[81.] PROP. XIII. THEOREMA.
Page: 161 (434)
[82.] PROP. XIV. THEOREMA.
Page: 162 (435)
[83.] PROP. XV. THEOREMA.
Page: 162 (435)
[84.] PROP. XVI. THEOREMA.
Page: 163 (436)
[85.] PROP. XVII. THEOREMA.
Page: 164 (437)
[86.] PROP. XVIII. THEOREMA.
Page: 164 (437)
[87.] PROP. XIX. THEOREMA.
Page: 165 (438)
[88.] CONSECTARIUM.
Page: 165 (438)
[89.] PROP. XX. THEOREMA.
Page: 165 (438)
[90.] PROP. XXI. THEOREMA.
Page: 166 (439)
[91.] PROP. XXII. THEOREMA.
Page: 167 (440)
[92.] SCHOLIUM.
Page: 168 (441)
[93.] PROP. XXIII. THEOREMA.
Page: 168 (441)
[94.] PROP. XXIV. THEOREMA.
Page: 169 (442)
[95.] PROP. XXV. THEOREMA.
Page: 170 (443)
[96.] PROP. XXVI. THEOREMA.
Page: 171 (444)
[97.] PROP. XXVII. THEOREMA.
Page: 172 (445)
[98.] PROP. XXVIII. THEOREMA.
Page: 173 (446)
[99.] PROP. XXIX. PROBLEMA. Dato circulo æquale invenire quadratum.
Page: 173 (446)
[100.] PROP. XXX. PROBLEMA. Ex dato ſinu invenire arcum.
Page: 175 (448)
[101.] PROP. XXXI. PROBLEMA. Ex dato arcu invenire ſinum.
Page: 175 (448)
[102.] PROP. XXXII. PROBLEMA. Invenire quadratum æquale ſpatio hyperbolico con-tento à curva hyperbolica, uno aſymptoto & dua-bus rectis alteri aſymptoto parallelis; quod ſpatium æquale eſt ſectori hyperbolico cujus baſis eſt eadem curva.
Page: 176 (449)
[103.] PROP. XXXIII. PROBLEMA. Propoſiti cujuscunque numeri logorithmum invenire.
Page: 182 (452)
[104.] SCHOLIUM.
Page: 183 (453)
[105.] PROP. XXXIV. PROBLEMA. Ex dato logorithmo invenire ejus numerum.
Page: 189 (459)
[106.] Tom. II. Mmm
Page: 189 (459)
[107.] PROP. XXXV. PROBLEMA. Rectâ per datum punctum in diametro ductâ, ſemicirculum in ratione data dividere.
Page: 190 (460)
[108.] SCHOLIUM.
Page: 190 (460)
[109.] FINIS.
Page: 192 (462)
[110.] II. HUGENII OBSERVATIONES IN LIBRUM JACOBI GREGORII, DE VERA CIRCULI ET HYPERBOLÆ QUADRATURA.
Page: 193 (463)
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134 70[Figure 70]
VERA
CIRCULI ET HYPERBOLÆ
QUADRATURA
AUTHORE
JACOBO GREGORIO.
LECTORI GEOMETRÆ
SALUTEM.
MEcum aliquando cogitabam, ami-
ce Lector, num Analytica cum
ſuis quinque operationibus eſſet
ſufficiens, & generalis methodus
inveſtigandi omnes quantitatum
proportiones, ut in initio ſuæ Ge-
ometriæ affirmare videtur Car-
teſius; ſi enim ita eſſet, poſſibile foret ejus ope to-
ties decantatam circuli quadraturam exhibere:
cumque hæc mente revolverem, facile percepi ex
hactenus repertis circuli proprietatibus nullam poſſe
analyſin inſtitui tali ſtructuræ inſervientem: dein-
de mihi alias quærenti incidit in mentem hujus ſe-
cunda, prima enim in circulo vulgo eſt cognita:
ex hiſce percepi ſeriem polygonorum convergentem,
cujus terminatio eſt circuli ſector; ubi ſtatim

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