A Rudimentary Treatise on Analytical Geometry and Conic Sections |
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a² b2 a² e² A² m² a² sin² a² y² a²² a²b² ABC2 abscissa ANALYTICAL GEOMETRY asymptotes Ax² axis of x b² a² b² cos² b²² b²x² b²x²² centre chord circle circumference coefficients completing the square conic section conjugate diameters curve determine different signs directrix distance ellipse equal find the equation find the locus focus given point Given the base hence HP² hyperbola I. F. Heather latus rectum line passing m² b² major axis negative normal oblique ordinate origin parabola parallel parallelogram perpendicular point of contact point of intersection Porisms positive principal diameters radius rectangle rectangular axes right line semi-diameters SERIES OF RUDIMENTARY shews SP² squares straight line substituting subtangent subtracting tan² tana tangent TREATISE triangle values vertex
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Page 1 - ... inestimable value, and too many attempts cannot be made to render them perfect and complete." To carry out this new Series successfully and methodically, the most eminent men in scholastic erudition and elementary instruction have been selected, under the able management and editing of Mr. JAMES...
Page 14 - PROBLEM VI. (13.) To find the equation of the straight line which passes through a given point, and which makes a given angle with a given straight line. Let the given line be represented by the equation, y = ax -f- b ; then, because the required line passes through a given point, (x, y',) its equation will take the form y — y' = a' (x — x') ; and we have to determine a', so that these lines may intersect in a given angle.
Page 1 - BRIDGES, tec., more particularly the Conway and Britannia Bridges, describing the Experiments made to determine their form, strength, and efficiency, together with the construction of the same, the floating and raising the tubes, *c 2 li.
Page 15 - In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin.
Page 1 - Is. each volume. It has been observed by Bonnycastle, in the Preface to his admirable Elementary Work on Algebra, that " Books of Rudiments, concisely written, well digested, and methodically arranged, are treasures of inestimable value, and too many attempts cannot be made to render them perfect and complete.