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Updated: May 19, 2025
Theodorus, Plato's teacher in mathematics, extended the theory of the irrational by proving incommensurability in certain particular cases other than that of the diagonal of a square in relation to its side, which was already known.
Drew’s left hand was caught in a tight grip which pulled him to the right, face to the wall. So secured, he inched along what he knew must be the face of the ravine, his toes on some small ledge midway between lip and foot. Somehow the three of them reached ground level, their diagonal course of descent putting some distance between them and the camp.
Then Barry lifted her in his arms and the others supported her on either side, and they climbed slowly and gently up to the path, not by the sheer way of their descent but by a diagonal track that joined the path further down. "I'm sorry, darling," Barry said through his teeth when he jolted her. "I'm frightfully sorry.... Only a little more now."
And for a long while there was neither sound nor sun-glitter from him. Then, without even a glance or a word for me, the Mohican quietly dropped back from the lead, waited until the last Oneida had passed, and moved swiftly on a diagonal course to the left, which brought him in the tracks of the Wyandotte.
The left was the diagonal edge of the case itself, about twenty inches or two feet in width. But I troubled myself very little either about back, left, or right. It was the ceiling of the little chamber that had the greatest interest for me; for it was in that direction I intended, if possible, to continue my tunnel.
Thus it is that the diagonal composition is particularly suited to portray scenes of grandeur, and to induce a feeling of awe in the spectator, because only here can the eye rove in one large sweep from side to side of the picture, recalled by the mass and interest of the side from which it moves.
As the course to be taken by the barge was diagonal rather than direct, a few powerful strokes of the oars brought it so near the skiff, that Ludlow, by placing his hand on the gunwale of the latter, could arrest its progress.
For goodness lies in the objective bearing of your action on such things as interests; precisely as the diagonal is a line connecting the vertices of opposite angles in a square, independently of all circumstances that do not affect the generic character of the square. In the second place, you may affirm that for you there are no interests but your own. But this is an equivocal proposition.
It is three stories high." "Yes, if we just jump we might miss the exit. We will do it together and depart from all of this death." Then she was looking up at the unhinged diagonal teetering of the bookshelf and glancing back at this strewn rubble of books girded about her on the floor.
Mr Perkins, have the goodness to bend on Y and run it up to the fore truck, if you please." A minute later, Don Hermoso and Carlos made their appearance on the top of the deck-house, just as Y a rectangular flag composed of red and yellow diagonal stripes went soaring up to the fore-mast-head. "Good-morning, Jack! good-morning, Captain!" said Don Hermoso.
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