# A system of practical mathematics; being no.xvi. of a new series of school-books

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### 目次

 Algebraic Definitions 12 Algebraic Fractions 22 Multiplication and Division of Fractions 29 63 36 Simple Equations 40 Simultaneous Equations with three unknown quantities 48 Surds 55 To multiply or divide Surds 60
 29 81 Axioms and Explanation of Symbols 131 Solid Geometry 139 Geometrical Exercises 152 General Exercises in Algebra 164 Quadratic Equations 170 139 152 152

 28 62 Geometrical Ratio 67 Proportion Theorems 75
 164 159 167 55

### 人気のある引用

124 ページ - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
115 ページ - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or...
79 ページ - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
80 ページ - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
84 ページ - ... is supposed . to be divided into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
80 ページ - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
136 ページ - To draw a straight line perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH ; it is required to draw from the point A a straight line perpendicular to the plane BH.
118 ページ - ... of the base, have the same ratio which the other sides of the triangle have to one...
71 ページ - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
125 ページ - Weigh the denser body and the compound mass, separately, both in water and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...