Pure mathematics, Volume 11874 |
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Page 7
... WHOLE NUMBERS AND DECIMAL FRAC- TIONS , 99 دو II . THE TREATMENT OF FRACTIONS CONSIDERED AS RATIOS , III . APPLICATION TO CONCRETE QUANTITIES , IV . THE METRIC SYSTEM , 9 • ཋསྒྱུ ཙ 16 42 49 61 385 68 " " 99 V. - PROPORTION , VI ...
... WHOLE NUMBERS AND DECIMAL FRAC- TIONS , 99 دو II . THE TREATMENT OF FRACTIONS CONSIDERED AS RATIOS , III . APPLICATION TO CONCRETE QUANTITIES , IV . THE METRIC SYSTEM , 9 • ཋསྒྱུ ཙ 16 42 49 61 385 68 " " 99 V. - PROPORTION , VI ...
Page 9
... WHOLE NUMBERS AND DECIMAL FRACTIONS . Notation and Numeration . 1. We learn from elementary books on Arithmetic , that figures have a local as well as an intrinsic value , and that the local value of a figure increases tenfold , or ...
... WHOLE NUMBERS AND DECIMAL FRACTIONS . Notation and Numeration . 1. We learn from elementary books on Arithmetic , that figures have a local as well as an intrinsic value , and that the local value of a figure increases tenfold , or ...
Page 16
... whole . It is gener- ally expressed by two numbers , the one placed above the other and separated by a line . The lower number expresses the number of equal parts into which the whole quantity has been divided , and the upper number ...
... whole . It is gener- ally expressed by two numbers , the one placed above the other and separated by a line . The lower number expresses the number of equal parts into which the whole quantity has been divided , and the upper number ...
Page 20
... whole number , we may either multiply the numerator by the number , or divide the denominator by it . Ex . & × 3 = 8 X 3 & × 3 = 9 = 24 9 ; or we may proceed thus-- 8 93 = 8 3 As to the first method-- The ratio 89 will be evidently ...
... whole number , we may either multiply the numerator by the number , or divide the denominator by it . Ex . & × 3 = 8 X 3 & × 3 = 9 = 24 9 ; or we may proceed thus-- 8 93 = 8 3 As to the first method-- The ratio 89 will be evidently ...
Page 21
Edward Atkins. 9. To divide a fraction by a whole number , we may either multiply the denominator by the number , or we may divide the numerator by it . Ex . - Divide 12 by 4 . We may proceed thus , ( 1. ) 12 ÷ 4 As to the first method ...
Edward Atkins. 9. To divide a fraction by a whole number , we may either multiply the denominator by the number , or we may divide the numerator by it . Ex . - Divide 12 by 4 . We may proceed thus , ( 1. ) 12 ÷ 4 As to the first method ...
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Common terms and phrases
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
Popular passages
Page 272 - The angles in the same segment of a circle are equal to one another.
Page 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.
Page 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...
Page 112 - IF two triangles have two sides of the one equal to two sides of the...
Page 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.
Page 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.
Page 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.
Page 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Page 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.
Page 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.