## A Course of Mathematics: For the Use of Academies as Well as Private Tuition, Volume 1 |

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### Contents

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### Common terms and phrases

abscisses altitude Answer arithmetical arithmetical mean arithmetical progression axis base bisected breadth centre chord ciphers circle circumference common denominator compound cone consequently cube root curve cylinder decimal denotes diameter difference distance divide dividend division divisor draw ellipse equal equation equiangular ExAM ExAMPLES feet figure fraction frustum Geom geometrical geometrical progression given number gives half Hence improper fraction inches inscribed integer length logarithm manner multiply º º ordinates OREM parabola parallel parallelogram perimeter perpendicular plane polygon pound prism PROBLEM proportional Q. E. D. Corol quantity Quest quotient radius ratio rectangle Reduce remainder right angles right-angled triangle rule secant segment sides sine square root subtract surd surface tangent theor THEOREM theref triangle Abc VULGAR FRACTIONS whole number yards

### Popular passages

Page 292 - 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 24 - 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 22 - 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 320 - 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 301 - 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 190 - 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 312 - 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 377 - 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 458 - 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 319 - 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.