A Short View of the First Principles of Differential CalculusJ. Deighton, 1824 - 198 strán (strany) |
Vyhľadávanie v obsahu knihy
Výsledky 1 - 5 z 58.
Strana xv
... greater triumph , to those effi- cient clergymen , who are dispersed in great numbers through the country , and who , having received their education here , attribute much of their usefulness , as religious instructors , to the mental ...
... greater triumph , to those effi- cient clergymen , who are dispersed in great numbers through the country , and who , having received their education here , attribute much of their usefulness , as religious instructors , to the mental ...
Strana xix
... greater importance , than the advancement of science , and since the usefulness and efficiency of those , who are hereafter to become public teachers , depend greatly upon the education , which they here receive : it should always be ...
... greater importance , than the advancement of science , and since the usefulness and efficiency of those , who are hereafter to become public teachers , depend greatly upon the education , which they here receive : it should always be ...
Strana 4
... greater degree of accuracy ; and as there is no limit to the number of parts into which a linear unit can be divided , there can also be no limit to the degree of accuracy , with which incommensurable lines may be represented by numbers ...
... greater degree of accuracy ; and as there is no limit to the number of parts into which a linear unit can be divided , there can also be no limit to the degree of accuracy , with which incommensurable lines may be represented by numbers ...
Strana 8
... greater than P , which represents the quarter of the cylinder , standing upon the " quadrant BAO . In the same way it may be shown , that , if S represent the sum of the rect- angles OK , GL , FM , & c . , Sa will be less than P. Hence ...
... greater than P , which represents the quarter of the cylinder , standing upon the " quadrant BAO . In the same way it may be shown , that , if S represent the sum of the rect- angles OK , GL , FM , & c . , Sa will be less than P. Hence ...
Strana 10
... greater than the sum of the latter , hence P lies between ne'a and nca . Again , C manifestly lies between ne ' and nc , and , therefore , Ca lies between nc'a , and nca , and since P and Ca lie both between nc'a and nea , the ...
... greater than the sum of the latter , hence P lies between ne'a and nca . Again , C manifestly lies between ne ' and nc , and , therefore , Ca lies between nc'a , and nca , and since P and Ca lie both between nc'a and nea , the ...
Časté výrazy a frázy
1+p² A'PQ a²+x² abscissa algebraic algebraic curve Analytics angle LSP arc PQ assume axes calculated cient circle A"PQ circle of curvature circle Pq co-ordinates coeffi common logarithm consequently considered contrary flexure convex curve APQ cylinder d²p dp dp dp² dx² Dx³ equal equation finite function ƒ² ƒ³ given line greater than SQ Hence horizontal axis hyp.log initial line length less lies linear unit logarithmic spiral manifest Mathematics maximum minimum negative ordinate parabola parallelopiped perpendicular point of contrary positive Prop proposition R₂ radius of curvature radius vector rect rectangle represented second differential coefficient series D spiral is concave straight line substituted suppose tangent Taylor's theorem
Populárne pasáže
Strana xvii - Excudent alii spirantia mollius aera, Credo equidem, vivos ducent de marmore vultus, Orabunt causas melius, caelique meatus Describent radio et surgentia sidera dicent; Tu regere imperio populos, Romane, memento : Hae tibi erunt artes, pacisque imponere morem, Parcere subiectis, et debellare superbos.
Strana xvii - Excudent alii spirantia mollius aera, credo equidem, vivos ducent de marmore vultus, orabunt causas melius, caelique meatus describent radio et surgentia sidera dicent : 850 tu regere imperio populos, Romane, memento (hae tibi erunt artes), pacisque imponere morem, parcere subiectis et debellare superbos.
Strana 50 - The differential of the product of any number of functions is equal to the sum of the products which arise by multiplying the differential of each function by the product of all the others: d(uts) = tsdu + usdt -4- utds.
Strana 5 - The area of a rectangle is equal to the product of the length by the breadth.
Strana 44 - It was also shown in the same article, that the differential of the sum of any number of functions is equal to the sum of their...
Strana 67 - Show how to divide a straight line into two parts so that the sum of the squares on the parts shall be equal to the square on a given line.
Strana 74 - The sum of the logarithms of two numbers, is the logarithm of the product of those numbers; and the difference of the logarithms of two numbers, is the logarithm of the quotient of one of the numbers divided by the other. (Art. 2.) In Briggs' system, the logarithm of 10 is 1.
Strana 133 - ... the angle which the tangent to the curve at that point makes with the axis of strain ; I will call this angle <f>.
Strana 1 - If two sides and the included angle of a triangle are given, show how to solve the triangle. Ex. The two sides are 345, 174 feet respectively, and the included angle is 37° 20'; find the remaining angles of the triangle. log.,» 5'19 = -715167, log. tan. 71° 20/ = 10-471298. log.,0 1-71 = -232996, log. tan. 44° 17
Strana 24 - If three magnitudes of the same kind are so related that the first is greater than the second, and the second greater than the third, then the first is greater than the third.