geometry

The geometry, for instance, they taught you at school is founded on a misconception.'

"Thanks be, I'm done with geometry, learning or teaching it," said Anne Shirley, a trifle vindictively, as she thumped a somewhat battered volume of Euclid into a big chest of books, banged the lid in triumph, and sat down upon it, looking at Diana Wright across the Green Gables garret, with gray eyes that were like a morning sky.

You are aware that students of geometry, arithmetic, and the kindred sciences assume the odd and the even and the figures and three kinds of angles and the like in their several branches of science; these are their hypotheses, which they and everybody are supposed to know, and therefore they do not deign to give any account of them either to themselves or others; but they begin with them, and go on until they arrive at last, and in a consistent manner, at their conclusion?

For in sciences which use demonstration there is that which is prior and that which is posterior in order; in geometry, the elements are prior to the propositions; in reading and writing, the letters of the alphabet are prior to the syllables.

He himself undertook his daughter's education, and to develop these two cardinal virtues in her gave her lessons in algebra and geometry till she was twenty, and arranged her life so that her whole time was occupied.

Accordingly, seeing that our senses sometimes deceive us, I was willing to suppose that there existed nothing really such as they presented to us; and because some men err in reasoning, and fall into paralogisms, even on the simplest matters of geometry, I, convinced that I was as open to error as any other, rejected as false all the reasonings I had hitherto taken for demonstrations; and finally, when I considered that the very same thoughts(presentations) which we experience when awake may also be experienced when we are asleep, while there is at that time not one of them true, I supposed that all the objects (presentations) that had ever entered into my mind when awake, had in them no more truth than the illusions of my dreams.

By the end of the term Anne and Gilbert were both promoted into the fifth class and allowed to begin studying the elements of "the branches"--by which Latin, geometry, French, and algebra were meant.

It was in the left hand try-pot of the Pequod, with the soapstone diligently circling round me, that I was first indirectly struck by the remarkable fact, that in geometry all bodies gliding along the cycloid, my soapstone for example, will descend from any point in precisely the same time.

Of this nature are the maxims in geometry, that "the whole is greater than its part; things equal to the same are equal to one another; two straight lines cannot enclose a space; and all right angles are equal to each other." Of the same nature are these other maxims in ethics and politics, that there cannot be an effect without a cause; that the means ought to be proportioned to the end; that every power ought to be commensurate with its object; that there ought to be no limitation of a power destined to effect a purpose which is itself incapable of limitation.

The meanest mathematician in Spaceland will readily believe me when I assert that the problems of life, which present themselves to the well-educated -- when they are themselves in motion, rotating, advancing or retreating, and at the same time attempting to discriminate by the sense of sight between a number of Polygons of high rank moving in different directions, as for example in a ball-room or conversazione -- must be of a nature to task the angularity of the most intellectual, and amply justify the rich endowments of the Learned Professors of Geometry, both Static and Kinetic, in the illustrious University of Wentbridge, where the Science and Art of Sight Recognition are regularly taught to large classes of the ELITE of the States.

"Have you learned anything at Redmond except dead languages and geometry and such trash?" queried Aunt Jamesina.

While Daedalus, who is force, measured; while Orpheus, who is intelligence, sang;--the pillar, which is a letter; the arcade, which is a syllable; the pyramid, which is a word,--all set in movement at once by a law of geometry and by a law of poetry, grouped themselves, combined, amalgamated, descended, ascended, placed themselves side by side on the soil, ranged themselves in stories in the sky, until they had written under the dictation of the general idea of an epoch, those marvellous books which were also marvellous edifices: the Pagoda of Eklinga, the Rhamseion of Egypt, the Temple of Solomon.