## A Course of Mathematics: For the Use of Academies as Well as Private TuitionCampbell, 1812 - Mathematics |

### Contents

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### Other editions - View all

A Course of Mathematics ...: For the Use of Academies, As Well As Private ... Charles Hutton No preview available - 2015 |

### Common terms and phrases

ABCD abscisses altitude Answer arithmetical arithmetical mean arithmetical progression axis base bisected breadth CA² centre chord ciphers circle circumference compound cone consequently cube root curve decimal denominator denotes diameter difference distance divide dividend division divisor draw equal equation equiangular EXAMPLES feet figure fraction frustum Geom geometric series geometrical geometrical progression given number gives greater half Hence improper fraction inches integer length less logarithm manner multiply number of terms ordinates parabola parallel parallelogram perpendicular places plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root subtract surd surface tangent theor theref triangle ABC VULGAR FRACTIONS whole numbers yards

### Popular passages

Page 275 - 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 4 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...

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 300 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.

Page 285 - In any triangle, the difference of the squares of the two sides w equal to the difference of the squares of the segments of the base, or of the two lines or distances included between the extremes of the base and the perpendicular.

Page 170 - When the index of the logarithm to be divided is negative, and does not exactly contain the divisor without some remainder, increase the index by such a number as will make it exactly divisible by the index, carrying the units borrowed, as so many tens, to the left-hand place of the decimal, and, then divide as in whole numbers. EXAMPLES. 1.

Page 292 - The 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 347 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees. 58. The Measure of an 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 428 - BRICKLAYERS- WORK. — Brickwork is estimated at the rate of a brick and a half thick. So that, if a wall be more or less than this standard thickness, it must be reduced to it, as follows : — Multiply the superficial content of the wall by the number of half bricks in the thickness, and divide the product by 3. The...

Page 299 - Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third.