An easy introduction to the higher treatises on the conic sections. [With] Key |
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An easy introduction to the higher treatises on the conic sections. [With] Key John Hunter (of Uxbridge.) Visualização completa - 1866 |
Termos e frases comuns
1+m² 1+m²² 2nd equation gives 3rd equation a²+b² a²m² a²y abscissa Accordingly Account-Books Account-States ARITHMETIC asymptotes axes axis of x becomes centre coefficient Completing squares CONIC SECTIONS coordinates are 12 cos² directrix DOUBLE ENTRY Edition 12mo ELEMENTS of MENSURATION ellipse ENGLISH GRAMMAR ENGLISH LANGUAGE equa equation to AC equations we obtain equilateral EXAMINATION-QUESTIONS in BOOK-KEEPING Exercises 18mo Explanatory full-coloured Maps GEOGRAPHY given circles given equations given line half-bound 30 HISTORY HUNTER'S EXAMINATION-QUESTIONS hyperbola latus rectum Let AM=x Let the coordinates line meets line required line touching locus middle point parabola PARADISE LOST Parsing passing perpend PM=y points of intersection quired represents two parallel required circle required equation required line SCHOOL-BOOK to TEACH similar triangles SM SP squares with a²-6x substitution tangent tion transverse axis trapeziums TRIGONOMETRY vertex whence y=mx
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Página 19 - Find the locus of a point the sum of whose distances from two given parallel lines is equal to a given length.
Página 26 - ... the tangent of the angle which the line makes with the axis of abscissae), was lately employed by M. Crova* for the discussion of experiments relating to the degree of constancy possessed by so-called
Página 13 - ... Quadratic Equations will be learnt by the examples which we shall give in this chapter, but before we proceed to them, it is desirable that the student should be satisfied as to the way in which an expression of the form is made a perfect square. Our rule, as given in the preceding Article, is this : add the square of half the coefficient of the second term, that is, the square of - , that is, — ' We have to shew then that a' X- + OX+4 is a perfect square, whatever a may be.
Página 27 - This position of the slit is the one inclined to the axis of x, at an angle whose tangent is...
Página 21 - Thus (4) becomes (1+ m2) (x> + y2) = (a* + 62) (1 + m2), or, a2 + y2=a'2 + 62; which is the equation to a circle passing through the four points of intersection of the curves.