The Directional Calculus: Based Upon the Methods of Hermann GrassmannGinn, 1890 - 247 páginas |
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The Directional Calculus: Based Upon the Methods of Hermann Grassmann ... Edward Wyllys Hyde Sin vista previa disponible - 2014 |
Términos y frases comunes
angles anti-polar becomes C₁ circle coefficients collinear common line common point complement cone conic conjugate points coplanar curve developable surface diameter e₁ e₂ ellipse ellipsoid equation Find the condition find the locus fixed point forces four points function Grassmann hence hyperbola hyperbolic paraboloid hyperboloid imaginary intersect L₁ L₂ last article linear m₁ magnitude mean point middle points Multiply n₁ negative P₁ and P₂ P₂ parabola paraboloid parallel parallelopiped pass pe₁ perpendicular plane space plane-vector point-plane-vector point-vector polar plane positive q₁ quadric Quaternion reciprocal reference points reference triangle represents right line satisfied scalar scalar quantity second degree self-conjugate Show sides solid space substituted surface tangent plane three planes three points three vectors three-dimensional space tion unit points values vector system vertex vertices whence write zero φρ
Pasajes populares
Página 256 - Its peculiarities are the rigorous use of the Doctrine of Limits, as a foundation of the subject, and as preliminary to the adoption of the more direct and practically convenient infinitesimal notation and nomenclature ; the early introduction of a few simple formulas and methods for integrating; a rather elaborate treatment of the use of infinitesimals in pure geometry: and the attempt to excite and keep up the interest of the student by bringing in throughout the whole book, and not merely at the...
Página 256 - ... has been inserted on Line, Surface, and Space Integrals. The Key has been enlarged and improved, and the Table of Integrals, formerly published separately, has been much enlarged, and is now bound with the Calculus. John E. Clark, Prof, of Mathematics, Sheffield Scientific School of Yale University : The additions to the present edition seem to me most judicious and to greatly enhance its value for the purposes of university instruction, for which in several important respects it seems to me...
Página 256 - Mailing price, $2.15; for introduction, $2.00. 'pIIIS work contains, in addition to the subjects usually treated in a text-book on the Integral Calculus, an introduction to Elliptic Integrals and Elliptic Functions ; the Elements of the Theory of Functions ; a Key to the Solution of Differential Equations ; and a Table of Integrals. John E. Clark, Prof, of Mathematics...
Página 75 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 255 - Mailing price, 55 cents ; for introduction, 50 cents. rFHE design of the author has been to give to students a more complete and accurate knowledge of the nature and use of Logarithms than they can acquire from the cursory study commonly bestowed on this subject.
Página 195 - The locus of a point, the sum of the squares of whose distances from n fixed points is constant, is a circle.
Página 49 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 144. Theorem. The bisector of an exterior angle of a triangle divides the opposite side produced into segments proportional to the other two sides.
Página 132 - To prove that the locus of the middle points of a system of parallel chords of a parabola is a straight line parallel to the axis of the parabola.
Página 195 - Find the locus of a point the sum of the squares of whose distances from two given points is constant.