A Course of Mathematics: For the Use of Academies, as Well as Private Tuition ...S. Campbell & son, E. Duyckinck, 1822 - Mathematics |
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Page iv
... length ; omitting to set down the work of all the other examples , how many soever he may be directed to work out upon his slate or waste paper . - In short , a great deal of the business , as to the quantity , and order , and manner ...
... length ; omitting to set down the work of all the other examples , how many soever he may be directed to work out upon his slate or waste paper . - In short , a great deal of the business , as to the quantity , and order , and manner ...
Page 27
... length and breadth only . When three dimensions are concerned , namely , length , breadth , and depth or thickness , it is called cubic or solid measure , which is used to measure Timber , Stone , & c . The cubic or solid Foot , which ...
... length and breadth only . When three dimensions are concerned , namely , length , breadth , and depth or thickness , it is called cubic or solid measure , which is used to measure Timber , Stone , & c . The cubic or solid Foot , which ...
Page 38
... length of the face of the bastion ? Ans . 89 yds 1 ft 8 in . COMPOUND MULTIPLICATION . COMPOUND MULTIPLICATION shows how to find the amount of any given number of different denominations repeated a certain proposed number of times ...
... length of the face of the bastion ? Ans . 89 yds 1 ft 8 in . COMPOUND MULTIPLICATION . COMPOUND MULTIPLICATION shows how to find the amount of any given number of different denominations repeated a certain proposed number of times ...
Page 46
... length must be cut off a board , that is 9 inches broad , to make a square foot , or as much as 12 inches in length and 12 a breadth contains ? Ans . 16 inches .. 7. If 750 men require 22500 rations of bread for a month ; how many ...
... length must be cut off a board , that is 9 inches broad , to make a square foot , or as much as 12 inches in length and 12 a breadth contains ? Ans . 16 inches .. 7. If 750 men require 22500 rations of bread for a month ; how many ...
Page 47
... length and 34 yards wide ? Ans . 8 yds 0 qrs 23 al . 29. If 5 yards of cloth cost 14s 2d , what must be given for 9 pieces , containing each 21 yards 1 quarter ? Ans . 27 is 101d . 30. If a gentleman's estate be worth 2107 12s a year ...
... length and 34 yards wide ? Ans . 8 yds 0 qrs 23 al . 29. If 5 yards of cloth cost 14s 2d , what must be given for 9 pieces , containing each 21 yards 1 quarter ? Ans . 27 is 101d . 30. If a gentleman's estate be worth 2107 12s a year ...
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Common terms and phrases
ABCD abscisses altitude arithmetical arithmetical mean arithmetical progression axis base bisected breadth ca² CD² centre chord circle circumference circumscribed common cone consequently cube root curve cylinder DE² decimal denominator denotes diameter difference distance divide divisor draw ellipse equation equiangular EXAM EXAMPLES feet figure fraction frustum Geom geometrical geometrical progression given number gives greater half height Hence improper fraction inches inscribed length Let ABC line drawn logarithm manner measure multiply ordinates parabola parallel parallelogram perimeter perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radius ratio rectangle Reduce right angles right line right-angled triangle rule Scholium segment side Ac sine sphere square root subtract surd surface tangent theor theref triangle ABC VULGAR FRACTIONS yards
Popular passages
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 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 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 189 - 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 293 - EBF, there are two angles in the one equal to two angles in the other, each to each ; and the...
Page 18 - The number to divide by, is the Divisor.- — And the number of times the dividend contains the divisor, is called the Quotient.
Page 280 - Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional.
Page 157 - Thus, the index or logarithm of 4, in the above series, is 2 ; and if this number be multiplied by 3, the product will be = 6 ; which is the logarithm of 64, or the third power of 4. And, if the logarithm of any number be divided by the index of its root, the quotient will be equal to the logarithm of that root.
Page 81 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on over every second figure, both to the left hand in integers, and to the right hand in decimals, which points will show the number of figures the root will consist of.
Page 278 - A Pentagon is a polygon of five sides ; a Hexagon, of six sides ; a Heptagon, seven; an Octagon, eight; a Nonagon, nine ; a Decagon, ten ; an Undecagon, eleven ; and 4 Dodecagon, twelve sides.