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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[121.] Notæ in Propoſ. LXXVI.
Page: 137 (99)
[122.] Notæ in Propoſit. LXXVII.
Page: 138 (100)
[123.] COROLLARIVM.
Page: 143 (105)
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
Page: 147 (109)
[125.] PROPOSITO XXXXII.
Page: 147 (109)
[126.] PROPOSITIO XXXXIII.
Page: 148 (110)
[127.] Notæ in Propoſ. XXXXI.
Page: 148 (110)
[128.] Notæ in Propoſ. XXXXII.
Page: 149 (111)
[129.] Notæ in Propoſit. XXXXIII.
Page: 149 (111)
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
Page: 150 (112)
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
Page: 152 (114)
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
Page: 154 (116)
[133.] PROPOSITIO XX. XXI. & XXII.
Page: 155 (117)
[134.] PROPOSITIO XXIII. & XXIV.
Page: 156 (118)
[135.] PROPOSITIO XXV.
Page: 157 (119)
[136.] Notæ in Propoſit. XIX.
Page: 157 (119)
[137.] Notæ in Propoſit. XX. XXI. XXII.
Page: 158 (120)
[138.] Notæ in Propoſ. XXIII. XXIV.
Page: 161 (123)
[139.] Notæ in Propoſ. XXXV.
Page: 161 (123)
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
Page: 162 (124)
[141.] PROPOSITIO XXXIII. XXXIV.
Page: 163 (125)
[142.] PROPOSITIO XXXV.
Page: 163 (125)
[143.] PROPOSITIO XXXVI.
Page: 164 (126)
[144.] PROPOSITIO XXXVII. XLVI.
Page: 164 (126)
[145.] PROPOSITIO XXXVIII.
Page: 165 (127)
[146.] PR OPOSITIO XXXIX.
Page: 166 (128)
[147.] PROPOSITIO XXXX.
Page: 166 (128)
[148.] PROPOSITIO XXXXVII.
Page: 166 (128)
[149.] PROPOSITIO XXXXVIII.
Page: 167 (129)
[150.] Notæ in Propoſit. XXXII.
Page: 167 (129)
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page |< < (141) of 458 > >|
179141Conicor. Lib. VI. Quapropter duæ figuræ G I, H K ſunt æquales, & ſimiles. Quod erat
oſtendendum.
PROPOSITIO IV.
SImili modo demõſtrabitur, quod
11a duæ ſectiones oppoſitæ ſintſimi-
181[Figure 181] les, & æquales.
Eo quod axis inclinatus eſt communis',
& erecti ſunt æquales (16. ex 1.) & prot
2214. lib. 4. pterea earum figuræ æquales quoque ſun-
inter ſe. Et hoc erat propoſitum.
PROPOSITIO X.
PAriter conſtat, quod ſi poten-
33a tiales cum ſuis abſciſſis cõpræ-
hendant angulos æquales obliquos,
eadem conſequentur, quæ prius dicta ſunt.
Et hoc erat propoſitum.
Notæ in Propoſit. I.
QVælibet duæ ſectiones parabolicæ,
182[Figure 182]44a vt A B, C D, quarum relationes
ſunt duo plana A L, C M, &
erecti earum A I, C N æquales. ipſæ quo-
que ſunt æquales. Si verò duæ illæ ſectio-
nes fuerint æquales, vtique earum appli-
cata, & erecti erunt æquales, & c. Verba
illa propoſitionis (applicata ſunt duo plana
A L, C M, & c.) caſu in textum irrepſiſſe
puto, eo quod rectangula illa A L, C M, ne-
dum æqualia non ſupponuntur, ſed è contra.
conſtruuntur, atque demonſtrantur æqualia eſ-
ſe inter ſe.
Quia ſi ponamus ſagittam C H ſuper ſa-
55b gittã A G, cadet ſectio C D ſuper ſectio-
nem A B: 11 verò non cadit ſuper illam,
ſignemus ſuper literam, in quam non ca-
dit punctum D: & c. Sic legendũ puto.

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