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alumni American Arts Assistant Association born called Charles Charlottesville Chem Chemistry City classical close College committee County course Department elected English entered exercises experience fact faculty field final five four George German give given graduate grammar Greek Hall held high school human important institution instructor interest James Jefferson John June knowledge language Latin learning letter literature living Major March mastered Mathematics means meeting method mind names organization period Philosophy position practice prepared present President principles Professor pupil question reading received recently Richmond Secretary served session Society South student teacher teaching things Thomas thought tion University of Virginia Washington writing written York
Página 332 - See the wretch, that long has tost On the thorny bed of pain, At length repair his vigour lost, And breathe and walk again : The meanest floweret of the vale, The simplest note that swells the gale, The common sun, the air, the skies, To him are opening paradise.
Página 202 - Definition and relations of the six trigonometric functions as ratios ; circular measurement of angles. Proofs of principal formulas, in particular for the sine, cosine, and tangent of the sum and the difference of two angles, of the double angle and the half angle, the product expressions for the sum or the difference of two sines or of two cosines, etc.: the transformation of trigonometric expressions by means of these formulas.
Página 200 - The four fundamental operations for rational algebraic expressions. Factoring, determination of highest common factor and lowest common multiple by factoring; fractions, including complex fractions, and ratio and proportion; linear equations, both numerical and literal, containing one or more unknown quantities; problems depending on linear equations; radicals, including the extraction of the square root of polynomials and of numbers; exponents, including the fractional and the negative.
Página 201 - Quadratic equations, both numerical and literal. Simple cases of equations with one or more unknown quantities, that can be solved by the methods of linear or quadratic equations. Problems depending on quadratic equations. The binomial theorem for positive integral exponents. The formulas for the nth term and the sum of the terms of arithmetical and geometric progressions, with applications.
Página 121 - I am, moreover, averse to the communication of my religious tenets to the public; because it would countenance the presumption of those who have endeavored to draw them before that tribunal, and to seduce public opinion to erect itself into that inquisition over the rights of conscience, which the laws have so justly proscribed.
Página 201 - The usual theorems and constructions of good textbooks, including the relations of planes and lines in space; the properties and measurement of prisms, pyramids, cylinders, and cones; the sphere and the spherical triangle. The solution of numerous original exercises, including lori problems.
Página 124 - ... the simple record of three short years of active life has done more to regenerate and soften mankind than all the disquisitions of philosophers and all the exhortations of moralists.
Página 330 - The equal rights of man, and the happiness of every individual, are now acknowledged to be the only legitimate objects of government. Modern times have the signal advantage, too, of having discovered the only device by which these rights can be secured, to wit: government by the people, acting not in person, but by representatives chosen by themselves...