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

314276Apollonij Pergæi

SECTIO SECVNDA

Continens Propoſit. II. III. IV. VI.
& VII. Apollonij.

PROPOSITIO II. & III.

SI in ſectione A B à termino cõmuni A vtriuslibet interceptæ
11a educatur linea recta A B vſq; ad ſectionem, atquè ab eius
termino B ad axim A E ducatur perpendicularis B E; erit qua-
dratum A B ad rectangulum contentum à rectis lineis inter per-
pendicularis incidentiam, & terminos interceptæ, nempe A E
in G E habebit eandem proportionem, quàm habet inclinatus,
ſiuè tranſuerſus A C ad præſectam C G.

362[Figure 362]

Sit itaque A F erectus A C, & ponamus A E in E H æquale quadra-
to B E; igitur A E in E H ad A E in E C, nempe H E ad E C eſt vt

363[Figure 363]

Table of handwritten notes

Text layer

Text normalization

Search