# A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Samuel Campbell, Evert Duyckinck, T. & J. Swords, Peter A. Mesier, R. M'Dermut, Thomas A. Ronalds, John Tiebout, and George Long, 1818

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### Obsah

 Notation and Numeration 4 Reduction 23 Compound Addition 32 Multiplication 38 Golden Rule or Rule of Three 44 Vulgar Fractions 51 Addition of Vulgar Fractions 61 Addition of Decimals 67
 Infinite Series 213 Piling of Balls 223 Simple Equations 230 Quadratic Equations 249 Resolution of Cubic and Higher Equations 257 Simple Interest 266 GEOMETRY 275 Axioms Theorems 319

### Oblíbené pasáľe

Strana 382 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Strana 221 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Strana 23 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.
Strana 190 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Strana 278 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Strana 53 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Strana 229 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Strana 319 - The measure of any angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Strana 191 - RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other...