The American Mathematical Monthly: The Official Journal of the Mathematical Association of America, Volume 27

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Mathematical Association of America, 1920 - Mathematicians
Includes articles, as well as notes and other features, about mathematics and the profession.
 

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Page 409 - Until the phenomena of any branch of knowledge have been submitted to measurement and number it cannot assume the status and dignity of a science.
Page 16 - That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Page 191 - our astronomical observer" at a salary of £100 per annum, his duty being " forthwith to apply himself with the most exact care and diligence to the rectifying the tables of the motions of the heavens and the places of the fixed stars, so as to find out the so much desired longitude of places for the perfecting the art of navigation.
Page 104 - Drill in algebraic manipulation should be limited to those processes and to the degree of complexity required for a thorough understanding of principles and for probable applications either in common life or in subsequent courses which a substantial proportion of the pupils will take.
Page 146 - Louis in connection with the meeting of the Department of superintendence of the National education association, February 27-29, 1912.
Page 146 - York (representing the Association of Teachers of Mathematics in the Middle States and Maryland...
Page 191 - Royal was established in 1765, the duty of the incumbent was declared to be " to apply himself with the most exact care and diligence to the rectifying the Tables of the Motions of the Heavens, and the places of the Fixed Stars in order to find out the so much desired Longitude at Sea for the perfecting -the Art of Navigation.
Page 221 - The great attraction of the theory is its logical consistency. If any deduction from it should prove untenable, it must be given up. A modification of it seems impossible without destruction of the whole. No one must think that Newton's great creation can be overthrown in any real sense by this or by any other theory. His clear and wide ideas will for ever retain their significance as the foundation on which our modern conceptions of physics have been built.
Page 52 - The squares on two sides of a triangle are together equal to twice the square on half the third side and twice the square on the median to that side. If ABC be a...
Page 178 - AFTER the lamentable breach in the former international relations existing among men of science, it is with joy and gratefulness that I accept this opportunity of communication with English astronomers and physicists.

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