A Collection of Examples of the Applications of the Differential and Integral Calculus

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J. Smith, printer to the University; and sold by J. Deighton and Sons, Cambridge; G. & W.B. Whittaker, Ave-Maria Lane; J. Mawman, Ludgate Street, Longman & Company Paternoster Row, London., 1820 - Calculus - 506 pages
 

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Page 180 - Quoniam enim semper sibi similem &_ eandem Spiram gignit, utcunque volvatur, evolvatur, radiet; hinc poterit esse vel sobolis parentibus per omnia similis Emblema; Simillima Filia Matri. Vel, [si rem aeternae Veritatis Fidei mysteriis accomodare non est prohibitum] ipsius aeternae generationis Filii, qui...
Page 180 - Lumine emanans eidem 6{i6<3ios existit, qualiscumque adumbratio. Aut, si' mavis, quia curva nostra mirabilis in ipsa mutatione semper sibi constantissime manet similis et...
Page 222 - Find that point within a triangle, from which if lines be drawn to the angular points, the sum of their squares shall be a minimum.
Page 226 - To find a point within a triangle from which if lines be drawn to the angular points the sum of their squares is the least possible.
Page 180 - ... adumbratio. Aut, si mavis, quia curva nostra mirabilis in ipsa mutatione semper sibi constantissime manet similis et numero eadem, poterit esse, vel fortitudinis et constantise in adversitatibus ; vel etiam carnis nostrae post varias alterationes, et tandem ipsam quoque mortem, ejusdem numero...
Page 436 - Liouville's edition, p. 79). The equation solved is that of surfaces formed by the motion of a straight line which is always parallel to a given plane, and always passes through two given curves. 7. In the above examples V is equal to 0, and this always facilitates the application of Monge's method.
Page 166 - Location of Storage Tanks. It is usually required that diesel fuel oil storage tanks be separated from each other by a distance equal to the diameter of the largest, and from the nearest property line by the same distance.
Page 160 - A, as axes of co-ordinates, the equation to the cissoid is y* =- - ' The curve may be constructed mechanically. The area of the space included between the two branches and their asymptote, is equal to three times the area of the generating circle. If, instead of a circle, we employed any other curve as the generating curve, the curve generated in the same way as the C. of D., is called dssoidal.
Page 446 - Find the volume of a right cone whose altitude is a, and the radius of whose base is b.

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