Posts tagged 'parts-non-aliquot'

G.254 parts of a number

But:term:**parts** <parts-non-aliquot> when it does not:term:measure <G.253> it.

G.255 number part parts

Any number is either a part or parts of any number, the less of the greater.

G.258 number parts number

If a number be parts of a number, and another be the same parts of another, the sum is the same parts of the sum that the one is of the one.

G.260 number parts number

If a number be the same parts of a number that a number subtracted is of a number subtracted, the remainder is the same parts of the remainder that the whole is of the whole.

G.261 number part number

If a number be a part of a number, and another be the same part of another, alternately also, whatever part or parts the first is of the third, the same part, or the same parts, will the second also be of the fourth.

G.262 number parts number

If a number be parts of a number, and another be the same parts of another, alternately also, whatever parts or part the first is of the third, the same parts or the same part will the second also be of the fourth.

G.263 proportional numbers

Numbers are:term:**proportional** <G.180> when the first is the:term:same multiple <G.256>, or the:term:same part <G.253>, or the:term:same parts <G.254>, of the second that the third is of the fourth.

G.264 whole whole number

If, as whole is to whole, so is a number subtracted to a number subtracted, the remainder is to the remainder as whole to whole.

G.265 there many numbers

If there be as many numbers as we please in proportion, then, as one of the antecedents is to one of the consequents, so are all the antecedents to all the consequents.

G.266 numbers proportional proportional

If four numbers be proportional, they is proportional alternately.

G.274 least numbers ratio

The least numbers of those which have the same ratio with them measure those which have the same ratio the same number of times, the greater the greater and the less the less.

G.601 set out sides

To set out the sides of the five figures and to compare them with one another.