Apollonius <Pergaeus>; Lawson, John, The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

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pars eſſet ſecundæ ſubdiviſionis, cæteris permittitur. Deinde
proxima ſex problemata continentur in primo libro.
Reliqua
duo, nempe de duabus rectis datis &
circulo, & de tribus
datis circulis, ſola habentur in ſecundo libro;
ob multas di-
verſaſque poſitiones circulorum &
rectarum inter ſe, quibus
fit ut etiam plurium determinationum opus ſit.
Prædictis his
Tactionibus congener eſt ordo problematum, quæ ab edito-
ribus omiſſa fuerant.
Nonnulli autem priori horum librorum
illa prefixerunt:
Compendioſus enim & introductorius erat
tractatus ille, &
ad plenam de Tactionibus doctrinam abſol-
vendam maxime idoneus.
Hæc omnia rurſus una propoſitio
complectitur, quæ quidem quoad Hypotheſim magis quam
præcedentia contracta eſt, ſuperaddita autem eſt conditio ad
conſtructionem:
eſtque hujuſmodi. E punctis, rectis, vel
circulis, datis duobus quibuſcunque, deſcribere circulum
magnitudine datum, qui tranſeat per punctum vel puncta
data, ac, ſi fieri poſſit, contingat etiam lineas datas.
” Con-
tinet autem hæc propoſitio ſex problemata:
ex tribus enim
quibuſcunque diverſis generibus fiunt Duades inordinatæ di-
verſæ numero ſex.
Vel enim datis duobus punctis, vel duabus
rectis, vel duobus circulis, vel puncto &
rectâ, vel puncto &
circuìo, vel rectâ &
circulo, opportet circulum magnitudine
datum deſcribere, QUI DATA CONTINGAT;
hæc autem re-
ſolvenda ſunt &
componenda ut & determinanda juxta Caſus.
Liber primus Tactionum problemata habet ſeptem; ſe-
cundus vero quatuor.
Lemmata autem ad utrumque librum
ſunt XXI;
Theoremata LX.

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