A Course of Mathematics: For the Use of Academies, as Well as Private Tuition ...S. Campbell & son, E. Duyckinck, 1822 |
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Σελίδα v
... answer satisfactorily his lordship's wishes . This difficulty however was obviated by the reply , that , to pre- serve a uniformity between the former and the additional parts of the Course , it was requisite that I should undertake the ...
... answer satisfactorily his lordship's wishes . This difficulty however was obviated by the reply , that , to pre- serve a uniformity between the former and the additional parts of the Course , it was requisite that I should undertake the ...
Σελίδα 2
... answer . An Unlimited Pro- blem is that which has innumerable answers . And a Deter- minate Problem is that which ... answer given in numbers . A Geometrical Solution , is the answer given by the principles of Geometry . And a Mechanical ...
... answer . An Unlimited Pro- blem is that which has innumerable answers . And a Deter- minate Problem is that which ... answer given in numbers . A Geometrical Solution , is the answer given by the principles of Geometry . And a Mechanical ...
Σελίδα 15
... answer or whole product required . TO PROVE MULTIPLICATION . THERE are three different ways of proving Multiplication , which are as below . First Method . - Make the multiplicand and multiplier change places , and multiply the latter ...
... answer or whole product required . TO PROVE MULTIPLICATION . THERE are three different ways of proving Multiplication , which are as below . First Method . - Make the multiplicand and multiplier change places , and multiply the latter ...
Σελίδα 16
... answer of the question , reserving the remainders of these last two , which remainders must be equal when the work ... answer is correct . Thus , if we multiply 13 by 12 , the product is 156 , and the remainders are each 3 : but if we ...
... answer of the question , reserving the remainders of these last two , which remainders must be equal when the work ... answer is correct . Thus , if we multiply 13 by 12 , the product is 156 , and the remainders are each 3 : but if we ...
Σελίδα 19
... answer to the question . But when there is a remainder , it goes so much towards another time , as it approaches to the divisor ; so , if the remainder be half the divisor , it will go the half of a time more ; if the 4th part of the ...
... answer to the question . But when there is a remainder , it goes so much towards another time , as it approaches to the divisor ; so , if the remainder be half the divisor , it will go the half of a time more ; if the 4th part of the ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 293 - EBF, there are two angles in the one equal to two angles in the other, each to each ; and the...
Σελίδα 18 - The number to divide by, is the Divisor.- — And the number of times the dividend contains the divisor, is called the Quotient.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.