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Σελίδα 374
... equations by pairs . 13. Investigate Waring's rule for the solution of a biquadratic equation , and shew that the reducing cubic equation is soluble by Cardan's rule , only in the case where two roots of the given equation are possible ...
... equations by pairs . 13. Investigate Waring's rule for the solution of a biquadratic equation , and shew that the reducing cubic equation is soluble by Cardan's rule , only in the case where two roots of the given equation are possible ...
Σελίδα 375
... equations to two straight lines in the same plane , find the tangent of the angle contained between them . 18. Obtain the equation to a straight line which passes through two given points of a parabola , and find what the equation ...
... equations to two straight lines in the same plane , find the tangent of the angle contained between them . 18. Obtain the equation to a straight line which passes through two given points of a parabola , and find what the equation ...
Σελίδα 377
... equation 11x + 15y = 1031 . 2. Determine which is the greatest term of the expansion of ( a + b ) " . 682 305 and less than 2889 1292 3. Shew that 5 is greater than and that it differs from the latter fraction by a quantity less than 1 ...
... equation 11x + 15y = 1031 . 2. Determine which is the greatest term of the expansion of ( a + b ) " . 682 305 and less than 2889 1292 3. Shew that 5 is greater than and that it differs from the latter fraction by a quantity less than 1 ...
Σελίδα 378
... equation for finding b from q , r , s , given , and shew how to solve it . 8. Assuming that if p , q , dr , be the virtual velocities of three forces P , Q , R , which keep a point at rest , Pop + Q & q + R & r = 0 , in whatever ...
... equation for finding b from q , r , s , given , and shew how to solve it . 8. Assuming that if p , q , dr , be the virtual velocities of three forces P , Q , R , which keep a point at rest , Pop + Q & q + R & r = 0 , in whatever ...
Σελίδα 379
... equations , d2y dy dx2 + m + n2y = A sin nx , and dx and obtain a particular integral of d2 z 2dz d2z + • a y2 dx dxdy ... equation of the first order and degree be- tween four variables , is of the form P = ƒ ( Q , R ) . 16. Prove that ...
... equations , d2y dy dx2 + m + n2y = A sin nx , and dx and obtain a particular integral of d2 z 2dz d2z + • a y2 dx dxdy ... equation of the first order and degree be- tween four variables , is of the form P = ƒ ( Q , R ) . 16. Prove that ...
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Δημοφιλή αποσπάσματα
Σελίδα 14 - Ecclesiastical History of the Second and Third Centuries, Illustrated from the Writings of Tertullian.
Σελίδα 22 - A course of Lectures, containing a description and systematic arrangement of the several branches of Divinity, accompanied with an account both of the principal authors, and of the progress which has been made at different periods, in Theological learning.
Σελίδα 47 - Deists, not descending to any particular controversies or sects amongst Christians themselves, except some new or dangerous error, either of superstition or enthusiasm, as of popery or methodism, either in opinion or practice, shall prevail; in which case only it...
Σελίδα 12 - Doctrine of the Greek Article applied to the Criticism and Illustration of the New Testament.
Σελίδα 40 - After having taken an actual survey of almost every thing curious in the kingdom on such subjects, he contrived a mode of exhibiting the operations and processes that are in use in nearly all of them. Having provided himself with a number of brass wheels of all...
Σελίδα 1 - The Chancellor, Masters, and Scholars of the University of Cambridge. The frame of this little commonwealth standeth upon the union of seventeen colleges, or societies, devoted to the study of learning and knowledge, and for the better service of the Church and State. All these...
Σελίδα 23 - Law, in which a comparison is occasionally made between the Roman Laws and those of England, by Samuel Hallifax, late Lord Bishop of St. Asaph, and formerly the King's Professor of Civil Law in this university.
Σελίδα 296 - ... by the students of this college, in the following order : One medal of 15 guineas for the best Latin Dissertation on some evidence of Christianity; another of 15 guineas for the best English Composition on some Moral Precept of the Gospel ; and one of 10...
Σελίδα 54 - MA; — and the other two are open to all Undergraduates who shall have resided not less than seven terms at the time when the exercises are to be sent in. The subjects...
Σελίδα 325 - The foundation estate of Lord Audley consists of the impropriate' parsonage of St. Catharine Cree Church, in London; and also a considerable part of the city, anciently called Covent Garden Christ Church. ANNUAL PRIZES. Books to the amount of five or six guineas to the best proficient in each of the two first years, at the annual examination in Classics and Mathematics.— Last year adjudged to Urquhart, Robins, and Broadhurst.