Elements of Arithmetic, Algebra, and GeometryAdam Black and William Tait, 1826 |
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Σελίδα 8
... divisors than if it had been expressed on the Denary ; and hence fewer fractions would have occurred from the division of numbers expressed on the former scale than do from those expressed on the latter . It is a curious fact , that the ...
... divisors than if it had been expressed on the Denary ; and hence fewer fractions would have occurred from the division of numbers expressed on the former scale than do from those expressed on the latter . It is a curious fact , that the ...
Σελίδα 21
... divisor , it is manifest , that the product of the divisor and quotient must be equal to the dividend . Hence division has sometimes been defined , to be the method of finding a number , which , when multiplied by the less of two given ...
... divisor , it is manifest , that the product of the divisor and quotient must be equal to the dividend . Hence division has sometimes been defined , to be the method of finding a number , which , when multiplied by the less of two given ...
Σελίδα 22
... divisor , will produce the dividend . Ex . 1. Let it be required to find how often 2 is 2 ) 864 contained in 864 . 432 Here we readily perceive that 800 contains 2 , 400 times , because 400 multiplied by 2 are equal to 800. In the same ...
... divisor , will produce the dividend . Ex . 1. Let it be required to find how often 2 is 2 ) 864 contained in 864 . 432 Here we readily perceive that 800 contains 2 , 400 times , because 400 multiplied by 2 are equal to 800. In the same ...
Σελίδα 23
... divisor is considerably great , it will be necessary that the whole numerical process appear , with the view of disburdening the memory , and insur- ing an accurate result . Let it be required , to find , for example , how often 35 is ...
... divisor is considerably great , it will be necessary that the whole numerical process appear , with the view of disburdening the memory , and insur- ing an accurate result . Let it be required , to find , for example , how often 35 is ...
Σελίδα 24
... divisor and quotient , added to the remainder , if there be any , be equal to the dividend . FRACTIONS . 33. A fraction is a quantity which represents a part or parts of a unit or whole . If a unit be divided into two equal parts , each ...
... divisor and quotient , added to the remainder , if there be any , be equal to the dividend . FRACTIONS . 33. A fraction is a quantity which represents a part or parts of a unit or whole . If a unit be divided into two equal parts , each ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
algebraic quantities angle ABC angle ACB angle BAC angle CAB angle EBA annex Arithmetic binomial Binomial Theorem bisected Book centre ciphers circumference coefficient consequently continued fraction cube root denominator diameter difference divided dividend divisor drawn equation example expressed exterior angle figure find the values fore fourth given circle given number greater greatest common measure guinea Hence improper fraction join least common multiple less manner merator minuend multiplied number of terms opposite angles parallel parallelogram perpendicular preceding prefixed PROP Q. E. D. Cor quotient ratio Reduce remaining angle Required the sum right angles rule Scholium sides square root straight line subtracted subtrahend surd tangent THEOREM third Transp triangle ABC units unity unknown quantity vulgar fraction Wherefore whole angle whole number
Δημοφιλή αποσπάσματα
Σελίδα 174 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Σελίδα 132 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 172 - But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore...
Σελίδα 171 - 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.
Σελίδα 129 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle also contained by the sides of that which has the greater base, shall be greater than the angle contained by the sides equal to them of the other.
Σελίδα 171 - C to the remaining angle at F. For, if the angles ABC, DEF be not equal, one of them is greater than the other : Let ABC be the greater, and at the point B, in the straight line AB, make the angle ABG equal to the angle (23.
Σελίδα 164 - If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, be equal to the square on GEOMETRY.
Σελίδα 142 - EK, because EH is less than EK ; therefore the square of BH is greater than the square of FK, and the straight line BH greater than FK, and therefore BC is greater than FG.
Σελίδα 109 - 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.
Σελίδα 148 - From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent angles are equal, they ate right angles.