## A Course of Mathematics: In Two Volumes. For the Use of Academies, as Well as Private Tuition, Volume 1Samuel Campbell, Evert Duyckinck, T. & J. Swords, Peter A. Mesier, R. M'Dermut, Thomas A. Ronalds, John Tiebout, and George Long, 1818 - Arithmetic - 558 pages |

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### Common terms and phrases

ABCD abscisses altitude arithmetical arithmetical mean arithmetical progression axis base bisected breadth ca˛ CD˛ centre chord ciphers circle circumference common cone consequently cube root curve DE˛ decimal denominator denotes diameter difference distance divide dividend division divisor draw equal equation equiangular EXAMPLES feet figure fraction frustum geometrical geometrical progression given number gives greater half Hence improper fraction inches length logarithm manner measure multiply number of terms ordinates parabola parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radius ratio rectangle Reduce remainder right angles right line rule Scholium side AC sine square root subtract surd surface tangent theor theref triangle ABC VULGAR FRACTIONS whole number 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...