Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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[271.] Notæ in Propoſit. IX.
Page: 324 (286)
[272.] Notæ in Propoſit. X.
Page: 325 (287)
[273.] Notæ in Propoſit. XI.
Page: 325 (287)
[274.] Notæ in Propoſit. XV.
Page: 326 (288)
[275.] Notæ in Propoſit. XIX.
Page: 326 (288)
[276.] Notæ in Propoſit. XVI.
Page: 327 (289)
[277.] Notæ in Propoſit. XVIII.
Page: 327 (289)
[278.] Notæ in Propoſit. XVII.
Page: 328 (290)
[279.] Notæ in Propoſit. XX.
Page: 328 (290)
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
Page: 329 (291)
[281.] Notæ in Propoſit. XII.
Page: 332 (293)
[282.] Notæ in Propoſit. XIII.
Page: 333 (294)
[283.] Notæ in Propoſit. XXIX.
Page: 334 (295)
[284.] Notæ in Propoſit. XXX.
Page: 334 (295)
[285.] Notæ in Propoſit. XIV. & XXV.
Page: 335 (296)
[286.] Notæ in Propoſit. XXVII.
Page: 335 (296)
[287.] SECTIO QVINTA Continens Propoſit. XXI. XXVIII. XXXXII. XXXXIII. XXIV. & XXXVII.
Page: 337 (298)
[288.] PROPOSITIO XXI. & XXVIII.
Page: 338 (299)
[289.] PROPOSITIO XXVI
Page: 339 (300)
[290.] PROPOSITIO XXXXII.
Page: 340 (301)
[291.] PROPOSITIO XXXXIII.
Page: 341 (302)
[292.] PROPOSITIO XXIV.
Page: 342 (303)
[293.] PROPOSITIO XXXVII.
Page: 343 (304)
[294.] Notę in Propoſit. XXVIII.
Page: 344 (305)
[295.] LEMMA. I.
Page: 345 (306)
[296.] Notę in Propoſit. XXI.
Page: 347 (308)
[297.] Notę in Propoſit. XXXXII.
Page: 349 (310)
[298.] Notæ in Propoſit. XXXXIII.
Page: 350 (311)
[299.] Notæ in Propoſit. XXIV.
Page: 352 (313)
[300.] SECTIO SEXTA Continens Propoſit. XXXIII. XXXIV. XXXV. & XXXVI. PROPOSITIO XXXIII.
Page: 353 (314)
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page |< < (295) of 458 > >|
334295Conicor. Lib. VII.
Notæ in Propoſit. XXIX.
QVoniam in hyperbola differentia quadratorum ex axi A C, & ex axi Q
1112. huius. R æqualis eſt differentiæ inter quadratum I L à quadrato eius coniugatæ
N O; eſtque Q R media proportionalis inter ſiguræ latera A C, &
2216. lib. 1. A F; ergo rectangulum C A F ſub extremis contentum æquale eſt quadrato in-
termediæ Q R: Et propterea differentia inter quadratum A C, & rectangu-
lum C A F æqualis erit differentiæ inter quadratum A C à quadrato Q R.
386[Figure 386] pari ratione erit differentia quadrati I L à rectangulo L I P æqualis differen-
tiæ quadrati I L à quadrato N O; & propterea in hyperbole differentia qua-
drati axis A C à rectangulo ſub figuræ lateribus contentum C A F æqualis
eſt differentiæ quadrati diametri I L à rectangulo L I P ſub lateribus figuræ
eius.
Notæ in Propoſit. XXX.
QVoniam in ellipſi quadratorum ex A C, & ex Q R ſumma æqualis eſt
33Prop. 13.
huius.
ex 15.
lib. 1. ſummæ quadratorum ex I L, & ex N O: eſtque rectangulum C A F
æquale quadrato Q R, & rectangulum L I P æquale quadrato N O
(vt in præcedenti nota dictum eſt) igitur in ellipſi quadratum axis A C, &
rectangulum C A F ſub eius lateribus cõtentum ſimul ſumpta æqualia ſunt qua-
drato ex I L cum rectangulo figuræ eius L I P.

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