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

Table of Notes

< >
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
< >
page |< < (165) of 458 > >|
203165Conicor. Lib. VI.221[Figure 221] vel hyperbolæ, nec habent baſes, à quibus circumſcribantur, igitur in ſectionibus
ſimilibus A B, &
G F homolegæ axium abſciſſæ B C, F H non ſupponuntur iam
dißectæ, &
determinatæ; quare poßunt eße cuiuſcunque menſuræ, & habere poſ-
ſunt eandem, &
non eandem proportionem ad conterminas potentiales; & ideo
ad vitandam incertitudinem adiungi debet determinatio, quod prædictæ homo-
logæ abſcißæ B C, F H proportionales ſint lateribus rectis B D, F I, at in ſeg-
mentis, ſeu portionibus ſectionum conicarum ſimilium inutilis omnino eßet illa
determinatio.
An verò hæc mea ſententia omninò reijci debeat alijs iudicandũ
relinquo.
Notæ in Propoſit. XI.
CVmque B C ad B L poſita ſit vt H F ad F N, & c. Quia inuertendo
11a D B ad B C eandem proportionem habet quàm I F ad F H, &
C B ad B
L eſt vt H F ad F N;
ergo ex æquali ordinata D B ad B L eandem proportio-
nem habebit, quàm I F ad F N;
eſtque ordinatim applicata Q L media pro.
222[Figure 222] portionatis inter abſciſſam B L, & latus rectum B D ( cum in parabola quadra-
tum Q L æquale ſit rectangulo L B D ) pariterque X N media proportionalis eſt
2211. lib. I. inter F N, &
I F; ergo Q L ad L B eſt vt X N ad N F, & antecedentium,
duplæ, ſcilicet Q R ad L B, atque X r ad N F in eadem ratione erunt.
Non
ſecus oſtendetur O P ad K B vt T V ad M F.

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index