Full text: Volumen secundum. Opera geometrica. Opera astronomica. Varia de optica. (2)

PRÆFATIO AD LECTOREM. lum hinc fructum colliges.

62. DEFINITIONES.

1 Si in circulo, ellipſe vel hyperbola ducantur è centro
in ejus perimetrum duæ rectæ, appellamus planum
ab illis rectis & perimetri ſegmento comprehenſum,
ſectorem.

2 Si perimetri ſegmentum inter illas rectas comprehenſum à
rectis quotcumque ſubtendatur, ita ut triangula rectili-
nea (quorum communis vertex eſt ſectionis centrum & baſes rectæ ſubtendentes) ſint æqualia; vocamus rectili-
neum illud ab iſtis triangulis conflatum, polygonum re-
gulare inſcriptum, ſi ſectio conica fuerit circulus vel el-
lipſis; quod ſi fuerit hyperbola, vocamus illud rectili-
neum polygonum regulare circumſcriptum.

3 Si perimetri ſegmentum inter illas rectas comprehenſum à
rectis quotcunque tangatur & à tactibus ad ſectionis cen-
trum ducantur rectæ; ſi inquam omnia trapezia, a tan-
gentibus proximis & rectis ad centrum comprehenſa, fue-
rint æqualia; appello rectilineum ab illis conflatum, poly-
gonum regulare circumſcriptum, ſi ſectio conica ſit elli-
pſis vel circulus, & polygonum regulare inſcriptum ſi
fuerit hyperbola.

4 Si omnes anguli (excepto illo ad ſectionis centrum) po-
lygoni regularis à ſubtendentibus comprehenſi inſiſtant

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