The American Mathematical Monthly: Devoted to the Interests of Collegiate Mathematics, Bände 3-4

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Mathematical Association of America, 1896
Registers of officers and members were issued as supplements to some vols.
 

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Seite 162 - not Music be described as the Mathematic of sense, Mathematic as Music of the reason ? the « soul of each the same! Thus the musician feels Mathematic, the mathematician thinks Music, « — Music the dream, Mathematic the working life — each to receive its consummation from « the other when the human intelligence, elevated to its perfect type, shall shine forth glorified « in some future MOZART-DIRICHLET or BEETHOVEN-GAUSS — a union already not indistinctly « foreshadowed in the genius...
Seite 251 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Seite 162 - ... of being obtained by composition, by mixture, so to say, of a certain limited number of fundamental forms, standard rays, as they might be termed in the Algebraic Spectrum of the Quantic to which they belong. And, as it is a leading pursuit of the Physicists of the present day to ascertain the fixed lines in the spectrum of every chemical substance, so it is the aim and object of a great school of mathematicians to make out the fundamental derived forms, the Cpvariants and Invariants, as they...
Seite 77 - Cor. 13. 1.), together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 158 - Perhaps I may without immodesty lay claim to the appellation of the Mathematical Adam, as I believe that I have given more names (passed into general circulation) to the creatures of the mathematical reason than all the other mathematicians of the age combined.
Seite 162 - But for the persistence of a student of this University in urging upon me his desire to study with me the modern Algebra I should never have been led into this investigation ; and the new facts and principles which I have discovered in regard to it (important facts, I believe), would, so far as I am concerned, have remained still hidden in the wornb of time*.
Seite 27 - ... were prompted by a common motive and their true character has been systematically concealed by Turkish official reports. The following paper is based upon full accounts of the massacres, written on the ground by the parties above referred to. Their names for obvious reasons cannot be made public. I. In...
Seite 207 - The area of the surface generated by a straight line revolving about an axis in its plane is equal to the product of. the projection of the line on the axis by the circumference whose radius is a perpendicular erected at the middle point of the line and terminated by the axis.

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