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

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[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)
[111.] III. DOMINI GREGORII RESPONSUM AD ANIMADVERSIONES DOMINI HUGENII, IN EJUS LIBRUM, DE VERA CIRCULI ET HYPERBOLÆ QUADRATURA.
Page: 196 (466)
[112.] PROP. X. PROBLEMA.
Page: 197 (467)
[113.] Tom. II. Nnn
Page: 197 (467)
[114.] CONSECTARIUM.
Page: 198 (468)
[115.] IV. EXCERPTA EX LITERIS Dni. HUGENII DE RESPONSO, QUOD Dnus. GREGORIUS DEDIT AD EXAMEN LIBRI, CUI TITULUS EST, VERA CIRCULI ET HYPERBOLÆ QUADRATURA.
Page: 202 (472)
[116.] V. EXCERPTA EX EPISTOLA D. JACOBI GREGORII, CONTINENTE QUASDAM EJUS CONSIDERATIO-NES, SUPER EPISTOLA D. HUGENII, IMPRESSA IN VINDICATIONEM EXAMINIS SUI LIBRI, DE VERA CIRCULI ET HY-PERBOLÆ QUADRATURA.
Page: 206 (476)
[117.] FINIS.
Page: 212 (482)
[118.] CHRISTIANI HUGENII GEOMETRICA VARIA. Tom. II. Ppp
Page: 213
[119.] I. CONSTRUCTIO LOCI AD HYPERBOLAM PER ASYMPTOTOS.
Page: 215 (485)
[120.] DEMONSTRATIO.
Page: 217 (487)
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page |< < (476) of 568 > >|
206476JAC. GREG. CONSID. rii, de qua ſuperius dixi, ſed vererer, ne nimium hoc ſcriptum
producerem, & certus ſum præterea, poſt illa, quæ Dus. Mer-
cator nuper feliciter invenit de illa quadratura, & correctionem
Dni. Walliſii, inventa noſtra hac de re parum eſſe conſi-
deranda.
80[Figure 80]
V.
EXCERPTA EX EPISTOLA
D. JACOBI GREGORII,
CONTINENTE QUASDAM EJUS CONSIDERATIO-
NES, SUPER EPISTOLA
D. HUGENII,
IMPRESSA IN VINDICATIONEM EXAMINIS
SUI LIBRI, DE VERA CIRCULI ET HY-
PERBOLÆ QUADRATURA.
Ex duobus argumentis, quibus conatur Nob. D.
Hugenius doctrinam meam evertere, primo qui-
dem, reſponſionis fundamentum dedi in Proœm.
ad Geometr. partem univer ſalem; alterum au-
tem provenit ſolummodo à Prop. 11. non re-
cte, opinor, ab Hugenio intellecta, quam tandem admit-
tit poſt correctiones (ut inquit) à me factas. Ut autem,
ſimul cum reſolutione Objectionum, omnem evertam du-
bitandi rationem, ex admiſſa Prop. 11. in forma proba-
re conabor Syllogiſtica, Nullam eſſe rationem analyticam
inter Circulum & Diametri Quadratum: Præter Modum
quippe & figuram nil deeſt in hactenus à me

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