The Mathematical Correspondent: Containing New Eludications, Discoveries, and Improvements, in Various Branches of the Mathematics, Τόμος 1Sage and Clough, 1804 - 248 σελίδες |
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Σελίδα 16
... circle intersects the circumference at right angles . Let ABCD be a cir- cle in which is the centre and AOC the di ... circle at the point C. In the circumference of the circle take any point E and draw the straight lines CE and AE ...
... circle intersects the circumference at right angles . Let ABCD be a cir- cle in which is the centre and AOC the di ... circle at the point C. In the circumference of the circle take any point E and draw the straight lines CE and AE ...
Σελίδα 17
... circle towards C , then will the angle EAC , during that motion , continually decrease . And be- cause the angle ECT ... circle ; is neither less nor greater than a right angle : and therefore the radius of a circle intersects the cir ...
... circle towards C , then will the angle EAC , during that motion , continually decrease . And be- cause the angle ECT ... circle ; is neither less nor greater than a right angle : and therefore the radius of a circle intersects the cir ...
Σελίδα 18
... circle ABCD . Then it is well known that the pole will be projected into P the centre of the equator or primitive circle AB CD - that the merid- ian circles will be rep- resented by straight D lines PA , PB , PC , PD , & c . which are ...
... circle ABCD . Then it is well known that the pole will be projected into P the centre of the equator or primitive circle AB CD - that the merid- ian circles will be rep- resented by straight D lines PA , PB , PC , PD , & c . which are ...
Σελίδα 44
... circle , which coincided with the plane of an upright wall . I afterwards observed a transit of the star An- tares over the same vertical semi - circle : when I found by my watch , which kept good solar time , that 15 min . 45 sec . had ...
... circle , which coincided with the plane of an upright wall . I afterwards observed a transit of the star An- tares over the same vertical semi - circle : when I found by my watch , which kept good solar time , that 15 min . 45 sec . had ...
Σελίδα 50
... circle , whose radius is equal to half the length of the PD , or when a2 = c2 ; = ladder . For when PL a2y 2 = c2 X 2ax x2 , becomes y = 2ax the known equation of a circle , whose radius is a . - x2 , VII . QUEST . 14. answered by the ...
... circle , whose radius is equal to half the length of the PD , or when a2 = c2 ; = ladder . For when PL a2y 2 = c2 X 2ax x2 , becomes y = 2ax the known equation of a circle , whose radius is a . - x2 , VII . QUEST . 14. answered by the ...
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The Mathematical Correspondent: Containing, New Elucidations, Discoveries ... George Baron Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Mathematical Correspondent: Containing, New Elucidations, Discoveries ... George Baron Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD algebraic angled triangle answer assume azimuth ball Baron bisects Bunker's Hill centre centrifugal force circle complete square consequently Corollary cube cubic formula demonstrated denominator Diarius Yankee difference distance District of Maine ditto divisor dollars draw eastwardly equal equation Euclid evident expressed fluxion formula four numbers four proportional numbers fourth fraction frustum greater Hence horizontal hypotenuse increments integer irreducible fraction James James Temple John Craggs latitude length Let ABC mathematical meridian multiple multiplicand nearest pole New-Jersey New-York Newbern North-Carolina number of digits parallel Penn Pennsylvania perpendicular Philadelphia plane PRIZE QUEST prop proposed proposition pure number quantity question radius ratio rectangle rectilineal right angles Robert Adrain root rule SCHOLIUM side similar triangles sine Solved sterling straight line subtracted tangent theorem tion tiple tube velocity whence yards York-Town
Δημοφιλή αποσπάσματα
Σελίδα 157 - 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.
Σελίδα 126 - ... motion, by means of which they increase or decrease ; as a line by the motion of a point ; a surface by the motion of a line ; and a solid by the motion of a surface.
Σελίδα 170 - ... the mark will have no meaning or signification : thus if it be said that the square of — 5, or the product of —5 into —5, is equal to +25, such an assertion must either signify no more than that 5 times 5 is equal to 25 without any regard to the signs, or it must be mere nonsense and unintelligible jargon.
Σελίδα 156 - ... 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.
Σελίδα 126 - I sought a method of determining quantities from the velocities of the motion or increments with which they are generated ; and calling these velocities of the motions or increments Fluxions, and the generated quantities Fluents, I fell by degrees upon the method of Fluxions, which I have made use of here in the quadrature of curves, in the years 1665 and 1666.
Σελίδα 126 - Lines are described, and therefore generated not by the apposition of parts, but by the continued motion of points ; superficies 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.
Σελίδα 130 - 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.
Σελίδα 25 - The fourth term is equal to the product of the second and third terms, divided by the first term.
Σελίδα 170 - ... some other quantity, as a, to which it is to be added, or from which it is to be subtracted, the mark will have no meaning or signification : thus if it be said that the square of — 5, or the product of —5 into —5, is equal to +25, such an assertion must either signify no more than that...