A system of practical mathematics; being no.xvi. of a new series of school-books |
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Side 5
... Surds , · To add or subtract Surds , 48 49 51 52 55 58 To multiply or divide Surds , Involution of Surds ,
... Surds , · To add or subtract Surds , 48 49 51 52 55 58 To multiply or divide Surds , Involution of Surds ,
Side 6
Scottish school-book assoc. To multiply or divide Surds , Involution of Surds , Evolution of Surds , Equations containing Surds , Arithmetical Progression , Geometrical Progression , Geometrical Ratio , Proportion , Theorems in ...
Scottish school-book assoc. To multiply or divide Surds , Involution of Surds , Evolution of Surds , Equations containing Surds , Arithmetical Progression , Geometrical Progression , Geometrical Ratio , Proportion , Theorems in ...
Side 55
... surds , for their values cannot be expressed in finite terms . All surds may be expressed by means of fractional expo- nents , in which it is evident that the value of the surd will not be altered by multiplying or dividing both ...
... surds , for their values cannot be expressed in finite terms . All surds may be expressed by means of fractional expo- nents , in which it is evident that the value of the surd will not be altered by multiplying or dividing both ...
Side 56
... surd have a coefficient , the whole may be expressed in the form of a surd , by raising the coefficient to the power de- noted by the surd , and multiplying this power into the surd , then placing the symbol of the root over the whole ...
... surd have a coefficient , the whole may be expressed in the form of a surd , by raising the coefficient to the power de- noted by the surd , and multiplying this power into the surd , then placing the symbol of the root over the whole ...
Side 57
... surds having different indices to other equivalent ones having a common index . RULE . Reduce the fractional indices to a common de- nominator , then involve each quantity to the power denoted by the numerator of its fractional exponent ...
... surds having different indices to other equivalent ones having a common index . RULE . Reduce the fractional indices to a common de- nominator , then involve each quantity to the power denoted by the numerator of its fractional exponent ...
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A System of Practical Mathematics: Being No.XVI. of a New Series of School-Books Scottish School-Book Assoc Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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...
Side 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.
Side 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.
Side 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
Side 78 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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.
Side 116 - ... of the base, have the same ratio which the other sides of the triangle have to one...
Side 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.
Side 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...