He drew diagonals this way and that across the advertisement.

But presently it took an unobstructed diagonal, and came steadily on to the long piazza steps, and up to the side door that opened upon the little passage to the dining-room.

the side and diagonal of a square, whereof the diagonal is an inch long, he may have the idea also of the division of that line into a certain number of equal parts; v.g. into five, ten, a hundred, a thousand, or any other number, and may have the idea of that inch line being divisible, or not divisible, into such equal parts, as a certain number of them will be equal to the sideline.