Manual of Geometry and Conic Sections: With Applications to Trigonometry and Mensuration |
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Common terms and phrases
ACDE-K altitude angles are equal apothem base and altitude bisectrix bisects centre chord circle OA circumscribed coincide conic surface consequently corresponding Cosine Cosine D Cotang curve denoted diameter distance divide draw ellipse equal to AC equally distant find the area formula frustum given line greater hence hypothenuse included angle intersect lateral surface less Let ACD logarithm lower base M.
M. Sine mantissa mean proportional multiplied number of sides opposite parabola parallelogram parallelopipedon perimeter perpendicular plane KL prism prolongation PROPOSITION proved pyramid quadrant radii radius rectangle regular inscribed regular polygon right angles right-angled triangle Scho secant segments similar slant height sphere spherical excess spherical triangle square straight line subtracting Tang tangent THEOREM transverse axis triangle ACD triangles are equal triangular triangular prism triedral angle upper base vertex volume
Popular passages
Page 52 - The type is large and open ; there is no fine print to annoy ; the cuts are copies of genuine experiments or natural phenomena, and are of fine execution. In fine, by a system of condensation peculiarly his own, the author reduces each branch to the limits of a single term of study, while sacrificing nothing that is essential, and nothing that is usually retained from the study of the larger manuals in common use. Thus the student has rare opportunity to economize his time, or rather to employ that...
Page 1 - O's, points or dots are introduced instead of the 0's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N'.
Page 57 - He is more practical, more systematic more accurate, and besides introduces a number of invaluable features which have never before been combined in a German grammar. Among other things, it may be claimed for Professor Worman that he has been 1ht first to introduce, in an American text•book for learning German, a system of analogy and comparison with other languages. Our best teachers are also enthusiastic about his methods of inculcating the art of speaking, of understanding the spoken language,...
Page 72 - If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let bc=ad.
Page 52 - contain only that which every well-informed person should know, while all that which concerns only the professional scientist is omitted. The language is clear, simple, and interesting, and the illustrations bring the subject within the range of home life and daily experience. They give such of the general principles and the prominent facts as a pupil can make familiar as household word* within a single term.
Page 44 - During all the years in which he has been laboring, he constantly submitted his own theories and those of others to the practical test of the class-room — approving, rejecting, or modifying them as the experience thus obtained might suggest. In this way he has been able to produce an almost perfect series of class-books, in which every department of mathematics has received minute and exhaustive attention.
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Page 46 - HIGHER MATHEMATICS. Peck's Manual of Algebra. Bringing the methods of Bourdon within the range of the Academic Course. Peck's Manual of Geometry. By a method purely practical, and unembarrassed by the details which rather confuse than simplify science. Peck's Practical Calculus. Peck's Analytical Geometry. Peck's Elementary Mechanics. Peck's Mechanics, with Calculus. The briefest treatises on these subjects now published. Adopted by the great Universities : Yale, Harvard, Columbia, Princeton, Cornell,...
Page 108 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
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