Pure Mathematics, Volumen11874 |
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Página 82
... Goods are now being sold at 10 per cent . loss . How much per cent . must be put upon the selling price in order that they may be sold at 20 per cent . gain ? Square Root and Cube Root . 53. To avoid unnecessary 82 ARITHMETIC .
... Goods are now being sold at 10 per cent . loss . How much per cent . must be put upon the selling price in order that they may be sold at 20 per cent . gain ? Square Root and Cube Root . 53. To avoid unnecessary 82 ARITHMETIC .
Página 83
Edward Atkins. Square Root and Cube Root . 53. To avoid unnecessary repetition , the student is referred to the ... cubic measure , sup . for superficial measure , run . for running or lineal measure . Builders , too , are in the ...
Edward Atkins. Square Root and Cube Root . 53. To avoid unnecessary repetition , the student is referred to the ... cubic measure , sup . for superficial measure , run . for running or lineal measure . Builders , too , are in the ...
Página 154
... cube whose edge is a . 17. The square root of a quantity is that quantity which , when raised to the second power or squared , will give the original quantity . = It is generally written . Thus , √16 4 , 144 = 12 . The cube root of a ...
... cube whose edge is a . 17. The square root of a quantity is that quantity which , when raised to the second power or squared , will give the original quantity . = It is generally written . Thus , √16 4 , 144 = 12 . The cube root of a ...
Página 180
... root of ao . And so , since the cube or third power of a2 is ( a2 ) 3 or ao , we call a2 the cube root or the third root of ao . So , generally , since the nth power of am call am the nth root of amn . = ( am ) n = Thus , we have a ...
... root of ao . And so , since the cube or third power of a2 is ( a2 ) 3 or ao , we call a2 the cube root or the third root of ao . So , generally , since the nth power of am call am the nth root of amn . = ( am ) n = Thus , we have a ...
Página 187
... Cube Root . 40. We will next develop the method of finding the cube root of a quantity . Ex . 1. Find the cube root of a3 + 3 a2b + 3 ab2 + b3 . = We know ( Art . 33 ) that ( a + b ) 3 a3 + 3 a2b + 3 ab2 + b3 . Hence a + b is the cube root ...
... Cube Root . 40. We will next develop the method of finding the cube root of a quantity . Ex . 1. Find the cube root of a3 + 3 a2b + 3 ab2 + b3 . = We know ( Art . 33 ) that ( a + b ) 3 a3 + 3 a2b + 3 ab2 + b3 . Hence a + b is the cube root ...
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Términos y frases comunes
a²b a²b² ab² ab³ ABCD algebraical angle ABC angle BAC angle BCD base BC BC is equal bisect brackets cent centim centre circle ABC circumference coefficient common Const cosec cube root decimal figures denominator divided divisor draw equation expression exterior angle factor Find the value fraction given straight line gnomon gram greater Hence integer join kilom less Let ABC logarithm metres miles millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment sides sin² sine square on AC square root subtraction touches the circle triangle ABC twice the rectangle x²y² x³y xy³
Pasajes populares
Página 272 - The angles in the same segment of a circle are equal to one another.
Página 103 - 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 233 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines, and let BC be divided into any...
Página 112 - IF two triangles have two sides of the one equal to two sides of the...
Página 128 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Página 119 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Página 113 - ... equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other.
Página 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Página 281 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 121 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.