# Rectilineal sentence example

A triangle is a

**rectilineal**figure; i.e.Since the area of a circle equals that of the

**rectilineal**triangle whose base has the same length as the circumference and whose altitude equals the radius (Archimedes, KIKXou A ir, prop.i), it follows that, if a straight line could be drawn equal in length to the circumference, the required square could be found by an ordinary Euclidean construction; also, it is evident that, conversely, if a square equal in area to the circle could be obtained it would be possible to draw a straight line equal to the circumference.Aristotle could not know enough, physically, about Nature to understand its matter, or its motions, or its forces; and consequently he fell into the error of supposing a primary matter with four contrary primary qualities, hot and cold, dry and moist, forming by their combinations four simple bodies, earth, water, air and fire, with natural

**rectilineal**motions to or from the centre of the earth; to which he added a quintessence of ether composing the stars, with a natural circular motion round the earth.Thus by combined induction and identification we apprehend that one and one are the same as two, that there is no difference between a triangle and a three-sided

**rectilineal**figure, that a whole must be greater than its part by being the whole, that inter-resisting bodies necessarily force one another apart, otherwise they would not be interresisting but occupy the same place at the same moment.Advertisement