A Synopsis of Elementary Results in Pure and Applied Mathematics, Volume 1, Part 1C. F. Hodgson, 1880 - Mathematics |
Other editions - View all
A Synopsis of Elementary Results in Pure and Applied Mathematics G. Shoobridge Carr Limited preview - 2005 |
A Synopsis of Elementary Results in Pure and Applied Mathematics ..., Volume 1 G. S. Carr No preview available - 2017 |
A Synopsis of Elementary Results in Pure and Applied Mathematics (Volume I) George S. Carr No preview available - 2020 |
Common terms and phrases
Arithmetic mean Binomial Theorem biquadratic centre changes of sign circle column continued fraction convergent cosine cubic cubic equation determinant diameter difference divided divisible divisors equal Equate coefficients event happening expansion formula functions given highest common factor hyperbola imaginary roots infinite integer last term least logarithms method multiplied negative Newton's Method number of changes number of terms O O O obtained partial fractions permutations perpendicular powers probability Proof Proof.—Let proper fraction quadratic equation quantities quotient radical axis radius ratio real root reciprocal equation remainder result rH rH right angle sides Similarly sine solution square Sturm's Substitute surds Table tangent Theorem triangle unity vanish zero
Popular passages
Page 131 - ... lines drawn from the angles of a triangle to the middle points...
Page xvi - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular to the plane MN; then, A'B
Page xiv - To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part*.
Page 131 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.
Page 131 - The sum of the squares of the four sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the mid-points of the diagonals.
Page 124 - If two angles of a triangle are equal, the opposite sides are also equal, and the triangle is isosceles.
Page xiv - Angle formed by a Tangent to a Circle, and a Chord drawn from the Point of Contact, is Equal to the Angle in the Alternate Segment.
Page 150 - If the radii of the inscribed and circumscribed circles of a regular polygon of n sides...
Page xvi - THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the.
Page 14 - The number of permutations of n things taken r at a time is n!