A system of practical mathematics; being no.xvi. of a new series of school-books |
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Página 6
... Ratio , Proportion , Theorems in , Interest , Simple , · Interest , Compound , Page 59 60 61 ib . 63 65 67 ៨ ៨៨៨ ខ 69 72 73 75 78 Annuities , Promiscuous Exercises , GEOMETRY . Plane Geometry - Definitions , Axioms and Explanation ...
... Ratio , Proportion , Theorems in , Interest , Simple , · Interest , Compound , Page 59 60 61 ib . 63 65 67 ៨ ៨៨៨ ខ 69 72 73 75 78 Annuities , Promiscuous Exercises , GEOMETRY . Plane Geometry - Definitions , Axioms and Explanation ...
Página 65
... ratio , and is com- monly represented by r ; and if a be put for the first term , the general representation of a geometrical series will be the following : a , ar , ar2 , ar3 , ar1 , & c .; and if n be put for the number of terms , and ...
... ratio , and is com- monly represented by r ; and if a be put for the first term , the general representation of a geometrical series will be the following : a , ar , ar2 , ar3 , ar1 , & c .; and if n be put for the number of terms , and ...
Página 66
... . EXERCISES . 1. Given the first term of a geometrical series 1 , the common ratio 2 , and the number of terms 10 , to find the last term and the sum of the series . Substitute in Theorems 9th and 6th , and we have 66 ALGEBRA .
... . EXERCISES . 1. Given the first term of a geometrical series 1 , the common ratio 2 , and the number of terms 10 , to find the last term and the sum of the series . Substitute in Theorems 9th and 6th , and we have 66 ALGEBRA .
Página 67
... ratio 3 , when continued to infinity . Ans . 5 . 5. Find the sum of the geometrical series whose first term is m and common ratio when continued to in- finity . Ans . mn . n - 1 n 6. A servant agreed with his master to serve him for ...
... ratio 3 , when continued to infinity . Ans . 5 . 5. Find the sum of the geometrical series whose first term is m and common ratio when continued to in- finity . Ans . mn . n - 1 n 6. A servant agreed with his master to serve him for ...
Página 68
... ratio which has the greater numerator . Ratios are com- monly written by placing two points between the antece- dent and consequent ; thus a : b expresses the ratio of a to b , and is read a is to b . 99. Proposition 1st . A ratio of ...
... ratio which has the greater numerator . Ratios are com- monly written by placing two points between the antece- dent and consequent ; thus a : b expresses the ratio of a to b , and is read a is to b . 99. Proposition 1st . A ratio of ...
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A System of Practical Mathematics: Being No.XVI. of a New Series of School-Books Scottish School-Book Assoc Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD acres altitude annuity base bisected breadth bushels cask cent centre chord circle circumference coefficient common Cosec Cosine cubic denominator depth diagonal diameter difference distance divided divisor draw equal equation EXAMPLE EXERCISES feet figure Find the area Find the sum Find the surface fraction frustum gallons gauge given greater height hence hypotenuse inches LADC latitude least common multiple length less logarithm miles Multiply number of sides parallel Parallel Sailing parallelogram parallelopipeds perpendicular plane Plane Sailing poles polygon prism Prop proportional PROPOSITION pyramid quotient radius ratio remainder right angles RULE sailed SCHOLIUM Secant Cotang segment side AC Sine slant height solid angles specific gravity square root station straight line subtract surd surface and solidity Tang tangent THEOREM trapezium triangle ullage unknown quantities yards
Pasajes populares
Página 122 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 113 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or...
Página 77 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Página 78 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
Página 82 - ... is supposed . to be divided into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Página 78 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 134 - To draw a straight line perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH ; it is required to draw from the point A a straight line perpendicular to the plane BH.
Página 116 - ... of the base, have the same ratio which the other sides of the triangle have to one...
Página 69 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 123 - Weigh the denser body and the compound mass, separately, both in water and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...