Posts tagged 'even-number'

G.302 even number

An:term:**even number** <even-number> is that which is divisible into two equal parts.

G.303 there many numbers

If there be as many numbers as we please in continued proportion, and the first do not measure the second, neither will any other measure any other.

G.351 many even numbers

If as many even numbers as we please be added together, the whole is even.

G.352 odd number

An:term:**odd number** <odd-number> is that which is not divisible into two equal parts, or that which differs by an:term:unit <G.247> from an:term:even number <G.302>.

G.353 many odd numbers

If as many odd numbers as we please be added together, and their multitude be even, the whole is even.

G.354 many odd numbers

If as many odd numbers as we please be added together, and their multitude be odd, the whole is odd.

G.355 even number even

If from an even number an even number be subtracted, the remainder is even.

G.356 even number odd

If from an even number an odd number be subtracted, the remainder is odd.

G.357 odd number odd

If from an odd number an odd number be subtracted, the remainder is even.

G.358 odd number even

If from an odd number an even number be subtracted, the remainder is odd.

G.359 odd number multiplying

If an odd number by multiplying an even number make some number, the product is even.

G.361 odd number measure

If an odd number measure an even number, it will also measure the half of it.

G.362 odd number prime

If an odd number be prime to any number, it is prime to the double of it.

G.363 even-times even number

An:term:**even-times even number** <even-times-even-number> is that which is:term:measured <G.253> by an:term:even number <G.302> according to an even number.

G.364 numbers continually doubled

Each of the numbers which are continually doubled beginning from a dyad is even-times even only.

G.365 even-times odd number

An:term:**even-times odd number** <even-times-odd-number> is that which is:term:measured <G.253> by an:term:even number <G.302> according to an:term:odd number <G.352>.

G.366 number half odd

If a number have its half odd, it is even-times odd only.

G.367 number continually doubled

If a number neither be one of those which are continually doubled from a dyad, nor have its half odd, it is both even-times even and even-times odd.

G.371 unequal magnitudes set

Two unequal magnitudes being set out, if from the greater there be subtracted a magnitude greater than its half, and from that which is left a magnitude greater than its half, and if this process be repeated continually, there is left some magnitude which is less than the lesser magnitude set out.

G.574 circles center inscribe

Given two circles about the same center, to inscribe in the greater circle an equilateral polygon with an even number of sides which does not touch the lesser circle.

G.577 spheres center inscribe

Given two spheres about the same center, to inscribe in the greater sphere a polyhedral solid which does not touch the lesser sphere at its surface.