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A Course of Mathematics ...: For the Use of Academies, As Well As Private ...
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ABCD algebraic annum answer arithmetical mean arithmetical progression arithmetical series cent ciphers circle common denominator common difference compound contained Corol cube root cubic equation decimal denotes Divide dividend division divisor equal equation errors EXAMPLES extremes figures find the value geometric series geometrical geometrical progression given number gives greater greatest common measure Hence inches infinite series integer interest last term less letters logarithm manner means mult Multiply natural number number of combinations number of terms number of things parallel parallelogram perpendicular places plane pound PROBLEM quantity QUEST quotient ratio rectangle Reduce remainder resolvend right angles right-hand shillings shot side simple square root subtract surd THEOREM third three numbers tion transposing VULGAR FRACTIONS whole number yards
Page 277 - 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 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 302 - 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 287 - 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 172 - 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 294 - 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 349 - 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 430 - 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...