An Elementary Treatise on the Differential and Integral CalculusW. P. Grant, 1828 - 398 lappuses |
Saturs
| 50 | |
| 62 | |
| 73 | |
| 80 | |
| 86 | |
| 93 | |
| 116 | |
| 123 | |
| 244 | |
| 252 | |
| 255 | |
| 259 | |
| 266 | |
| 280 | |
| 293 | |
| 302 | |
| 129 | |
| 135 | |
| 143 | |
| 154 | |
| 169 | |
| 192 | |
| 195 | |
| 217 | |
| 229 | |
| 235 | |
| 316 | |
| 325 | |
| 343 | |
| 355 | |
| 361 | |
| 364 | |
| 367 | |
| 374 | |
| 380 | |
| 396 | |
Citi izdevumi - Skatīt visu
An Elementary Treatise on the Differential and Integral Calculus (Classic ... J. L. Boucharlat Priekšskatījums nav pieejams - 2018 |
An Elementary Treatise on the Differential and Integral Calculus Jean-Louis Boucharlat Priekšskatījums nav pieejams - 2015 |
Bieži izmantoti vārdi un frāzes
abscissa angle arbitrary constants axes axis betwixt common factor complete differential complete integral consequently considered contain coordinates curve cycloid d³y day dx2 definite integral denominator determine differential coefficient differential equation differentiating the equation dividing dx dx dx dy dy day dy dx dy dy dz dz eliminate equa equal equations 194 equations of condition example expression f(x+h ferential follows formula function give homogeneous function hypothesis infinite infinitesimal loga logarithm logarithmic spiral multiplying obtain ordinate osculate parabola partial differential equations particular solution plane point of inflexion polar curves primitive equation proposed equation quantity radius reduced represented respect result satisfied second order second side straight line substituting these values substituting this value subtangent suppose surface tangent Taylor's theorem tegrating theorem tion whence we deduce
Populāri fragmenti
185. lappuse - Reducing then the second side of this equation to a common denominator, the numerator of each of these fractions will be multiplied by the product of the denominators of all the others, ie by a polynomial in terms of x of the order (m — 1) ; and the second side of the equation will consequently be a polynomial consisting of m terms. It follows, therefore, that if we equate the coefficients of the same powers of x on the two sides of the equation, we shall have m equations of condition for determining...
xx. lappuse - Find the equation to a straight line passing through a given point, and perpendicular to a given straight line.
18. lappuse - ... complement of any angle is called the Cosine, Cotangent, or Cosecant of that angle. Thus, let CL or DB, which is equal to CL, be the sine of the angle CBH ; HK the tangent, and BK the secant of the same angle : CL or BD is the cosine, HK the cotangent, and BK the cosecant of the angle ABC. COR. 1. The radius is a mean proportional between the tangent and the cotangent of any angle ABC ; that is, tan. ABC X cot.
xii. lappuse - ... two intersecting circles there be drawn any two other chords, one in each circle, their four extremities all lie on a circle. 3. Draw through a given point within a circle a chord, one of whose segments shall be four times as long as the other. When is this possible? 4. Divide a given straight line into two parts, so that the rectangle contained by the parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point of BC and AD produced meets the circle...
93. lappuse - R is equal to the cube of the normal divided by the square of the semiparameter, R= _ ___ ?, since N = 2/w sec w.
384. lappuse - An INDEX of all the PASSAGES in GREEK and LATIN AUTHORS which are illustrated or referred to in the SYNTAX of BLOMJIELD'S TRANSLATION of MATTHLÏ'S GREEK GRAMMAR.
50. lappuse - THE AREAS OF THE SQUARES DESCRIBED ON THESE PARTS SHALL BE THE LEAST POSSIBLE. Let a = the given line, x one of the parts, then a — x will be the other part.
liii. lappuse - If both members of the last equation be divided by h, we shall have u' — u •which expresses the ratio of the increment of the function to that of the variable.
xxv. lappuse - Find by means of rectangular co-ordinates, the length of the perpendicular let fall from a given point on a given straight line.
62. lappuse - ... of the angle made by the tangent with the axis of x is represented by -^-, we must consequently, in this case, have ^=0.