But what virtue the number one hundred has must now be explained.
In the first place, a hundred is the power of the number ten.
In the second place, the number ten thousand is the power of this number a hundred, and ten thousand is the brother of the unit, for as one times one is one, so ten thousand times one is ten thousand.
In the third place, every part of the number a hundred is honourable.
In the fourth place, this number consists of thirty-six and sixty-four, which is a cube, and at the same time a triangle.
In the fifth place, it is composed of all these separate odd numbers: one, three, five, seven, nine, eleven, thirteen, fifteen, seventeen, nineteen, which added together make a hundred.
In the sixth place, it is composed of these four numbers: one and its double, and four and its double; as one, two, four, eight, which make fifteen, and of these four numbers also added together, one, four, fifteen, sixty-four, which make eightyfive. And the principle of doubling pervades all these numbers, containing that principle which is by fours and by fives: and the principle of four times and twice pervades them all.
In the seventh place, it is composed of five numbers taken simply, one, two, three, four, which make ten; and of five triangular numbers, one, three, six ten, which make twenty; and of five quadrangular numbers, one, four, nine, sixteen, which make thirty; and of five quinquangular numbers, one, five, twelve, twenty-two, which make forty: and all these added together make a hundred.
In the eighth place, it is composed of four cubes taken simply beginning with the unit, for after giving one, two, three, four, their cubes one, eight, twenty-seven, sixty-four, make a hundred.
In the ninth place, it is divided into forty and sixty, each of which is a very natural number; and in accordance with the first order of decimals up to ten thousand in a quinquangular figure the number a hundred holds the middle place; for instance: one, ten, a hundred, one thousand, ten thousand, where a hundred is the middle number of one, ten, a hundred, one thousand, and ten thousand.