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

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### Common terms and phrases

added amount Answer arithmetical base called centre chord circle circumference common compound consequently contained Corol cube root decimal denominator denotes diameter difference distance divide dividend division divisor double draw drawn equal equation EXAMPLES expressed extract extremes feet figure former four fraction geometrical given gives greater half height Hence inches interest join length less letters logarithm manner means measure meeting method multiply namely Note opposite parallel parallelogram perpendicular places plane position PROBLEM progression proportional quantity quotient radius ratio rectangle Reduce remainder right angles rule shillings sides simple square root subtract taken tangent THEOREM things third triangle whole yards

### Popular passages

Page 2 - The sum of the three angles of any triangle is equal to two right angles, this is a . Theorem, the truth of which is demonstrated by Geometry.

Page 410 - 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.

Page 251 - 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.

Page 25 - 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,.

Page 220 - 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.

Page 306 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.

Page 55 - 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.

Page 257 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.

Page 347 - 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.

Page 221 - RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other...