The American Mathematical Monthly: Devoted to the Interests of Collegiate Mathematics, Volumes 7-8

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Mathematical Association of America, 1900 - Mathematics
Registers of officers and members were issued as supplements to some vols.
 

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Page 124 - propositions already proved by Euclid without it? Euclid, demonstrated things more axiomatic by far. He proves what every dog knows . that any two sides of a triangle are together greater than the third. Yet after he has finished his demonstration, that straight lines making with
Page 182 - describes equal areas in equal times and that the squares of the periodic times of the planets are in the same proportion as the cubes of their mean distances from the sun.
Page 201 - I enjoy here," said Goethe, "both good days and good nights. Often before dawn I am already awake, and lie down by the open window to enjoy the splendor of the three planets, which are at present to be seen together, and to refresh myself with the increasing brilliancy of the morning red,
Page 204 - I enjoy here," said Goethe, "both good days and good nights. Often before dawn I am already awake, and lie down by the open window, to enjoy the splendor of the three planets, which are at present to be seen together, and to refresh myself with the increasing brilliancy of the morning-red.
Page 252 - I have hit upon promises me with certainty the attainment of the goal, if it in general is attainable. It is not yet attained, but I have discovered such magnificent things that I am myself astonished at them. It would be damage eternal if they were lost. When
Page 110 - Legendre proved that the sum of the angles of a triangle can never exceed two right angles, and that if there is a single triangle in which this sum is equal to two right angles, the same is true of all triangles. This was, of course, on the supposition that a line is of infinite length.
Page 130 - It is assumed, that a straight line may be drawn from any one point to any other point.
Page 126 - I have discovered such magnificent things that I am myself astonished at them. It would be damage eternal if they were lost. , When you see them, my father, you yourself will acknowledge it. Now I cannot say more, only so much
Page 56 - did not comprehend it or immediately forgot it, and went on with his work. After some little time, the servant came again to say that his mistress was much worse, and to beg that he would come to her at once; to which he replied : 'I will come presently.
Page 98 - experience has it not the esthetic character although the senses take no part in it ? Only the privileged few are called to enjoy it fully, it is true, but is it not the same with all the noblest arts

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