Pure Mathematics, Volumen11874 |
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Página 13
... Hence , to get the true quotient of 76875 by 6.25 , we must remove the dot from the extreme right of the number 123 , five minus two , or three places to the left . Now three is the excess of the number of decimal figures in the ...
... Hence , to get the true quotient of 76875 by 6.25 , we must remove the dot from the extreme right of the number 123 , five minus two , or three places to the left . Now three is the excess of the number of decimal figures in the ...
Página 18
... hence follows that the fraction is properly expressed by the ratio 12 : 7 . The first term of a ratio is called the antecedent , and the second is called the consequent ; and hence we may consider a fraction as a ratio , the numerator ...
... hence follows that the fraction is properly expressed by the ratio 12 : 7 . The first term of a ratio is called the antecedent , and the second is called the consequent ; and hence we may consider a fraction as a ratio , the numerator ...
Página 20
... hence it follows that 3 x 3 = 98 9 It may be remarked that the two results , 24 and § , are of exactly the same value ( Art . 7 ) , since the latter may be ob- tained from the former by dividing each of its terms by 3 . In actual ...
... hence it follows that 3 x 3 = 98 9 It may be remarked that the two results , 24 and § , are of exactly the same value ( Art . 7 ) , since the latter may be ob- tained from the former by dividing each of its terms by 3 . In actual ...
Página 22
... Hence the ratio : 47 is equi- x 9 : 47 x 5 , and hence the 5 Now 16 and 9 are called the extreme terms of the complex 16 fraction , and 5 and 47 are called its mean terms . We arrive then at the following rule : — RULE . - Bring the ...
... Hence the ratio : 47 is equi- x 9 : 47 x 5 , and hence the 5 Now 16 and 9 are called the extreme terms of the complex 16 fraction , and 5 and 47 are called its mean terms . We arrive then at the following rule : — RULE . - Bring the ...
Página 23
... Hence we arrive at the result- = 5 X 3 7 X 4 = 3 X 5 4 X 7 3 of = 3 X 5 4 X 7 And in the same way we might show that 485 of of of 11 7 X 4 X3 X 11 . 8 X 9 X 5 X 1 Hence the rule : - RULE . - Multiply together the several numerators for ...
... Hence we arrive at the result- = 5 X 3 7 X 4 = 3 X 5 4 X 7 3 of = 3 X 5 4 X 7 And in the same way we might show that 485 of of of 11 7 X 4 X3 X 11 . 8 X 9 X 5 X 1 Hence the rule : - RULE . - Multiply together the several numerators for ...
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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.