Pure Mathematics, Volumen11874 |
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Página 7
... MULTIPLICATION , AND DIVISION , III . - INVOLUTION AND EVOLUTION , 155 · 178 99 IV . GREATEST COMMON MEASURE , AND LEAST COMMON MULTIPLE , 195 91 V. - FRACTIONS , 204 97 VI . SIMPLE EQUATIONS AND PROBLEMS PRODUCING THEM , 209 · · STAGE ...
... MULTIPLICATION , AND DIVISION , III . - INVOLUTION AND EVOLUTION , 155 · 178 99 IV . GREATEST COMMON MEASURE , AND LEAST COMMON MULTIPLE , 195 91 V. - FRACTIONS , 204 97 VI . SIMPLE EQUATIONS AND PROBLEMS PRODUCING THEM , 209 · · STAGE ...
Página 11
... multiplied by 10 , 100 , 1000 , & c . , that is , by 10 , 102 , 103 , & c . , by removing the dot 1 , 2 , 3 , & c . , places respectively to the right . Thus , 6872-3476 divided by 10 , 100 , 1000 respec- tively , becomes 687-23476 , 68 ...
... multiplied by 10 , 100 , 1000 , & c . , that is , by 10 , 102 , 103 , & c . , by removing the dot 1 , 2 , 3 , & c . , places respectively to the right . Thus , 6872-3476 divided by 10 , 100 , 1000 respec- tively , becomes 687-23476 , 68 ...
Página 12
... Multiplication . = 3. Suppose we have to multiply 2.935 by 6 · 34 , and let us suppose the dot in each case removed to the extreme right . Then ( Art . 1 ) , we have multiplied the number 2.935 by 1000 . and the number 6.34 by 100 , and ...
... Multiplication . = 3. Suppose we have to multiply 2.935 by 6 · 34 , and let us suppose the dot in each case removed to the extreme right . Then ( Art . 1 ) , we have multiplied the number 2.935 by 1000 . and the number 6.34 by 100 , and ...
Página 13
... Multiply 0063 , by 017 . • 0063 • 017 441 63 1071 And pointing off ( 4 + 3 ) , or 7 decimal figures , we obtain for our product 0001071 . Division . 4. Suppose we have to divide 76875 by 6.25 . We will proceed as in the case of ...
... Multiply 0063 , by 017 . • 0063 • 017 441 63 1071 And pointing off ( 4 + 3 ) , or 7 decimal figures , we obtain for our product 0001071 . Division . 4. Suppose we have to divide 76875 by 6.25 . We will proceed as in the case of ...
Página 19
... multiply the numerator and de- nominator of the fraction each by 4 , we get = 1. Now the ratio of 3 : 7 is , from the definition of a ratio , four times as small as the ratio ( 3 × 4 ) : 7 or 12 : 7 ; and the ratio 12 : 7 is , for the ...
... multiply the numerator and de- nominator of the fraction each by 4 , we get = 1. Now the ratio of 3 : 7 is , from the definition of a ratio , four times as small as the ratio ( 3 × 4 ) : 7 or 12 : 7 ; and the ratio 12 : 7 is , for the ...
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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.