Content of type 'definitions'
Book I Definitions
A point is that which has no part.
Book II Definitions
Any rectangular parallelogram is said to be contained by the two straight lines containing the right angle.
Book III Definitions
Equal circles are those the diameters of which are equal, or the radii of which are equal.
Book IV Definitions
A rectilineal figure is said to be inscribed in a rectilineal figure when the respective angles of the inscribed figure lie on the respective sides of that in which it is inscribed.
Book V Definitions
A magnitude is a part of a magnitude, the less of the greater, when it measures the greater.
Book VI Definitions
Similar rectilineal figures are such as have their angles severally equal and the sides about the equal angles proportional.
Book VII Definitions
An unit is that by virtue of which each of the things that exist is called one.
Book X Definitions
Those magnitudes are said to be commensurable which are measured by the same measure, and those incommensurable which cannot have any common measure.
Book X Definitions II
1. Given a rational straight line and a binomial, divided into its terms, such that the square on the greater term is greater than the square on the lesser by the square on a straight line commensurable in length with the greater, then, if the greater term be commensurable in length with the rational straight line set out, let the whole be called a first binomial straight line;
Book X Definitions III
1. Given a rational straight line and an apotome, if the square on the whole be greater than the square on the annex by the square on a straight line commensurable in length with the whole, and the whole be commensurable in length with the rational straight line set out, let the apotome be called a first apotome.
Book XI Definitions
A solid is that which has length, breadth, and depth.