The Mathematical Correspondent: Containing New Eludications, Discoveries, and Improvements, in Various Branches of the Mathematics, Volume 1 |
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The Mathematical Correspondent: Containing, New Elucidations, Discoveries ... George Baron No preview available - 2016 |
The Mathematical Correspondent: Containing, New Elucidations, Discoveries ... George Baron No preview available - 2016 |
Common terms and phrases
ABCD algebraic algebraic characters answer arises by multiplying assume ball Baron bisects Bunker's Hill centre centrifugal force circle consequently Coroll Corollary cosine cube cubic formula demonstrated denominator Diarius Yankee distance District of Maine ditto draw eastwardly equal equation evident expressed fluxion formula four numbers fourth fraction frustum greater Harrisburg Hence horizontal increments James John Capp John Craggs John Gummere John Smithis length Let ABC loxodromic Mathematical Mathematical Correspondent meridian mon language multiple multiplicand New-Jersey New-York Newbern North-Carolina number of digits p-q+r-s+t Pennsylvania perpendicular Philadelphia plane principles PRIZE QUEST product that arises prop proposition pure number radius ratio rectangle rectilineal right angles Robert Adrain root rule SCHOLIUM side signs similar triangles sine solutions Solved straight line subtracted suppose tangent theorem third Thomas Maughan tion tiple tube velocity whence whole number York-Town
Popular passages
Page 151 - What principles you proceed upon; how sound they may be; and how you apply them? It must be remembered that I am not concerned about the truth of your theorems, but only about the way of coming at them; whether it be legitimate or illegitimate, clear or obscure, scientific or tentative.
Page 150 - ... to demonstrate any proposition a certain point is supposed, by virtue of which certain other points are attained; and such supposed point be itself afterwards destroyed or rejected by a contrary supposition ; in that case all the other points attained thereby and consequent thereupon, must also be destroyed and rejected, so as from thenceforward to be no more supposed or applied in the demonstration.
Page 124 - We must therefore be careful to distinguish between the ratio of two evanescent quantities, and the limit of their ratio ; the former ratio never arriving at the latter, as the quantities vanish at the instant that such a circumstance is aboBt to take place.
Page 151 - C's part being lost by his death, it is required to divide the whole sum, properly, between the other two. Ans. A's part is $ 57,142$, and B's $ 42,857}.
Page 21 - The fourth term is equal to the product of the second and third terms, divided by the first term.
Page 197 - ... the product of the sum and difference of any two quantities, is equal to the difference of their squares.
Page 20 - If the answer is to be greater, place the greater of the two remaining numbers for the second term, and the less number for the first term; but if it is to be less, place the less of the...
Page 70 - ... They themselves also speak in the most contemptuous manner of Col. Jared Mansfield, superintendent of the Military Academy at West Point. The writer has a copy of No. 2. stitched in a blue cover, on which is an advertisement of a Lecture delivered in New York by G. Baron, which contains (as he says) "a complete refutation of the false and spurious principles, ignorantly imposed on the public, in the 'New American Practical Navigator,
Page 120 - ... by the motion of lines ; solids by the motion of superficies ; angles by the rotation of the sides ; portions of time by a continual flux ; and so in other quantities. These geneses really take place in the nature of things, and are daily seen in the motion of bodies.
Page 120 - These geneses really take place in the nature of things, and are daily seen in the motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles.