A system of practical mathematics; being no.xvi. of a new series of school-books |
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Side 12
... quantities into another , their difference is the coefficient of the sum , and is plus if the sum of the plus coefficients be the greater , and minus if it be the less . 2d . EXAMPLES . 1st . 7acx 4a√1 + p2 12 ALGEBRA . Addition,
... quantities into another , their difference is the coefficient of the sum , and is plus if the sum of the plus coefficients be the greater , and minus if it be the less . 2d . EXAMPLES . 1st . 7acx 4a√1 + p2 12 ALGEBRA . Addition,
Side 13
... difference ; and to subtract a greater , and then add a less , is the same as to subtract their difference , which is the rule . Again , it is evident that the third rule just enables us to combine several accounts in the second into ...
... difference ; and to subtract a greater , and then add a less , is the same as to subtract their difference , which is the rule . Again , it is evident that the third rule just enables us to combine several accounts in the second into ...
Side 17
... difference of two quantities is less than the sum of their squares by twice their product . ( See Art . 28 , Example 2. ) 31. THEOREM III . The product of the sum and diffe- rence of two quantities is equal to the difference of their ...
... difference of two quantities is less than the sum of their squares by twice their product . ( See Art . 28 , Example 2. ) 31. THEOREM III . The product of the sum and diffe- rence of two quantities is equal to the difference of their ...
Side 18
... difference of its exponents , and in the denominator of a fraction , when the exponent of the divisor is the greater ; thus , a6 ÷ a1a2 , as3 ÷ a2 = a3 , 1 a2 ÷ a3 - a - 3 , or am ÷÷÷ a " = a " -3 , a3 " m - n · 33. CASE I. When the ...
... difference of its exponents , and in the denominator of a fraction , when the exponent of the divisor is the greater ; thus , a6 ÷ a1a2 , as3 ÷ a2 = a3 , 1 a2 ÷ a3 - a - 3 , or am ÷÷÷ a " = a " -3 , a3 " m - n · 33. CASE I. When the ...
Side 21
... difference of the same powers of two quantities is always divisible by the difference of the quantities themselves , whether the exponents be even or odd . See 1st and 3d . 39. THEOREM II . The difference of the same powers of two ...
... difference of the same powers of two quantities is always divisible by the difference of the quantities themselves , whether the exponents be even or odd . See 1st and 3d . 39. THEOREM II . The difference of the same powers of two ...
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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...