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 contents

< >
[241.] Notæ in Propoſit. XXVIII.
[242.] LEMMAX.
[243.] SECTIO VNDECIMA Continens Propoſit. XXIX. XXX. & XXXI. PROPOSTIO XXIX.
[244.] PROPOSITIO XXX.
[245.] PROPOSITIO XXXI.
[246.] Notæ in Propoſit. XXIX.
[247.] Notæ in Propoſit. XXX.
[248.] Notæ in Propoſit. XXXI.
[249.] LIBRI SEXTI FINIS.
[250.] DEFINITIONES. I.
[251.] II.
[252.] III.
[253.] IV.
[255.] VI.
[256.] VII.
[257.] VIII.
[258.] NOTÆ.
[259.] SECTIO PRIMA Continens Propoſit. I. V. & XXIII. Apollonij. PROPOSITIO I.
[260.] PROPOSITIO V. & XXIII.
[261.] Notæ in Propoſit. I.
[262.] Notæ in Propoſit. V. & XXIII.
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
[264.] PROPOSITIO IV.
[265.] PROPOSITIO VI. & VII.
[266.] Notæ in Propoſit. II. III.
[267.] Notæ in Propoſit. IV.
[268.] Notæ in Propoſit. VI. & VII.
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
[270.] Notæ in Propoſit. VIII.
< >
page |< < (246) of 458 > >|
284246Apollonij Pergæi
Notæ in Propoſit. XXVIII.
DEinde ſit ſectio elliptica, vt A B, & axis eius tranſuerſus B D, &
11a erectus illius B E;
& ſit triãgulum coni H F I, & circumducamus
circa illum circulum, &
educamus ex F lineam F L K occurrentem ipſi
extra circulum in K;
& occurrat circulo in L ita vt ſit F K ad K L, vt
D B ad B E;
& eſt facile ( vti demonſtrauimus in 59. ex I.) , & c.
331[Figure 331]
Senſus propoſitionis hic erit. In cono recto, cuius triangulum per axim H F I
reperire ſectionem æqualem datæ ellipſi A B, cuius axis tranſuerſus D B, &

latus rectum B E.
In conſtructione poſtea duci debet recta linea F L K extra
circulum, &
triangulum ad vtraſque partes, alias conſtructio non eſſet perfecta.
Lemma verò, quod repoſuiſſe, dicit Arabicus interpres in I. libro, ab hoc
ſequenti for ſam diuerſum non erit.
LEMMAX.
SEcetur latus F I in S, vt ſit F I
332[Figure 332] ad I S in eadem ratione, quàm
habet axis tranſuerſus D B ad latus re-
ctum B E:
& ducatur S L æquidiſtans
trianguli baſi H I, quæ ſecet circulum ex
vtraque parte in L, &
coniungantur re-
ctæ lineæ F L, producanturque quoſquè
ſecent baſim H I in punctis K.
Quoniam in triangulo F I K ducitur recta
linea S L æquidiſtans baſi I K, erit F I

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index