A Course of Mathematics: For the Use of Academies, as Well as Private Tuition ...S. Campbell & son, E. Duyckinck, 1822 - Mathematics |
From inside the book
Results 1-5 of 54
Page xv
... Planes and Solids - Definitions Problems Applications of Algebra to Geometry Plane Trigonometry 275 281 319 336 353 369 377 Heights Heights and Distances Mensuration of Planes Mensuration of Solids Land CONTENTS . XV.
... Planes and Solids - Definitions Problems Applications of Algebra to Geometry Plane Trigonometry 275 281 319 336 353 369 377 Heights Heights and Distances Mensuration of Planes Mensuration of Solids Land CONTENTS . XV.
Page xvi
... Heights and Distances Mensuration of Planes Mensuration of Solids Land Surveying Artificers ' Work Timber Measuring Conic Sections Of the Ellipse Of the Hyperbola Of the Parabola Page 398 402 419 429 457 486 469 473 491 514 Of the Conic ...
... Heights and Distances Mensuration of Planes Mensuration of Solids Land Surveying Artificers ' Work Timber Measuring Conic Sections Of the Ellipse Of the Hyperbola Of the Parabola Page 398 402 419 429 457 486 469 473 491 514 Of the Conic ...
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 rate of working ? Ans 72 men . 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 rate of working ? Ans 72 men . 37. What will be the charge of keeping 20 horses for a year ...
Page 79
... height or degree of that power ; and it is 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 , 4 ...
... height or degree of that power ; and it is 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 , 4 ...
Page 200
... when raised to that power . Thus 1 + 1 = 2 in the first power ; 1 + 2 + 1 = 4 = 2 in the square ; 1 +3 +3 + 18 = 23 in the cube , or third power ; and so on . the the same height as the intended power : and the 200 ALGEBRA .
... when raised to that power . Thus 1 + 1 = 2 in the first power ; 1 + 2 + 1 = 4 = 2 in the square ; 1 +3 +3 + 18 = 23 in the cube , or third power ; and so on . the the same height as the intended power : and the 200 ALGEBRA .
Contents
223 | |
230 | |
249 | |
257 | |
266 | |
275 | |
281 | |
319 | |
62 | |
68 | |
76 | |
110 | |
119 | |
127 | |
135 | |
150 | |
159 | |
167 | |
175 | |
181 | |
188 | |
199 | |
206 | |
213 | |
336 | |
353 | |
369 | |
377 | |
393 | |
402 | |
419 | |
429 | |
458 | |
466 | |
473 | |
491 | |
514 | |
532 | |
558 | |
571 | |
Other editions - View all
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.