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, 1816 - Mathematics |
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Page xiv
... . Definitions Axioms - Theorems Of Ratios and Proportions Of Planes and Solids - Definitions Problems 275 281 $ 19 336 353 Applications Page Applications of Algebra to Geometry Plane Trigonometry Heights und πίν CONTENTS .
... . Definitions Axioms - Theorems Of Ratios and Proportions Of Planes and Solids - Definitions Problems 275 281 $ 19 336 353 Applications Page Applications of Algebra to Geometry Plane Trigonometry Heights und πίν CONTENTS .
Page 1
... Heights und Distances 369 $ 77 398 Mensuration of Planes Mensuration of Solids Land Surveying Artificers ' Works Timber Measuring Conic Sections Of the Ellipse 402 419 429 457 466 469 473 Of the Hyperbola Of the Parabola 491 514 Of the ...
... Heights und Distances 369 $ 77 398 Mensuration of Planes Mensuration of Solids Land Surveying Artificers ' Works Timber Measuring Conic Sections Of the Ellipse 402 419 429 457 466 469 473 Of the Hyperbola Of the Parabola 491 514 Of the ...
Page 48
... height of 36 feet , was raised 9 feet high by 16 men in 6 days ; then how many men must be employed to finish the wall in 4 days , at the same Ans . 72 men . rate of working ? 37. What will be the charge of keeping 20 horses for a year ...
... height of 36 feet , was raised 9 feet high by 16 men in 6 days ; then how many men must be employed to finish the wall in 4 days , at the same Ans . 72 men . rate of working ? 37. What will be the charge of keeping 20 horses for a year ...
Page 79
... height or degree of that power ; and it is 1 more than the number of multiplications used in producing the same . So 1 is the index or exponent of the first power or root , two of the 2d power or square , 3 of the third power or cube ...
... height or degree of that power ; and it is 1 more than the number of multiplications used in producing the same . So 1 is the index or exponent of the first power or root , two of the 2d power or square , 3 of the third power or cube ...
Page 200
... equal to the number 2 , when raised to that power . Thus 1 + 1 power ; 1 + 2 + 14 = 22 in the square ; 1 + 3 + 3 + 1 = 8 23 in the cube , or third power ; and so on . the the same height as the intended power : and the 200 ALGEBRA .
... equal to the number 2 , when raised to that power . Thus 1 + 1 power ; 1 + 2 + 14 = 22 in the square ; 1 + 3 + 3 + 1 = 8 23 in the cube , or third power ; and so on . the the same height as the intended power : and the 200 ALGEBRA .
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Common terms and phrases
ABCD abscisses ac² altitude arithmetical arithmetical progression axis base bisected CA² CD² centre chord circle circumference common compound cone consequently cube root cubic equation cylinder decimal denominator denotes diameter difference distance divide dividend divisor draw equal angles equal th equation equiangular equilateral EXAMPLES feet figure fraction frustum geometrical progression given number gives greater Hence improper fraction inches infinite series inscribed length Let ABC logarithm manner measured by half multiply ordinates parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. Corol Q. E. D. THEOREM quantity QUEST quotient radii radius ratio rectangle Reduce right angles right line right-angled triangle rule side AC sine square root subtract surd tangent theor theref transposing triangle ABC VULGAR FRACTIONS whole number yards
Popular passages
Page 6 - 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 285 - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
Page 438 - 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 187 - 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 202 - Subtract its power from that term, and bring down the second term for a dividend. 3. Involve the root, last found, to the next lowest -power, and multiply it by the index of the given power for a divisor.
Page 290 - A perpendicular is the shortest line that can be drawn from a given point to a given line.
Page 86 - Then say, by the rule of three, as the sum of the given number and double the assumed cube is to the sum of the assumed cube and double the given number, so is the root of the assumed cube to the root required, nearly ; Or as the first sum is to the difference of the given and assumed...
Page 398 - Two ships of war, intending to cannonade a fort, are, by the shallowness of the water, kept so far from it, that they suspect their guns cannot reach it with effect. In order, therefore, to measure the distance, they separate from each other a quarter of a mile, or 440 yards ; then each ship observes and measures the angle which the other ship and the fort subtend, which angles are 83° 45
Page 355 - B draw chords BA, BC, to the two other points, and bisect these chords perpendicularly by lines meeting in O, which will be the centre. Then from the centre O, at the distance of any one of the points, as ( ) A, describe a circle, and it will pass through the two other points B, C, as required.
Page 56 - To reduce an improper fraction to a whole, or mixed number. Divide the numerator by the denominator, and the quotient will be the whole, or mixed number required.