A Course of Mathematics, Volume 1Longman, Rees, 1836 - Mathematics |
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Page 2
... given in numbers . A Geometrical Solution is the answer given by the principles of Geometry . And a Mechanical Solution is one which is gained by trials . 9. A Lemma is a preparatory proposition , laid down in order to shorten the ...
... given in numbers . A Geometrical Solution is the answer given by the principles of Geometry . And a Mechanical Solution is one which is gained by trials . 9. A Lemma is a preparatory proposition , laid down in order to shorten the ...
Page 8
... given to the number 9 , on account of its being more convenient in practice . A similar property belongs to the number 11 . Now , from the demonstration above given , the reason of the rule itself is evident : for the excess of 9s in ...
... given to the number 9 , on account of its being more convenient in practice . A similar property belongs to the number 11 . Now , from the demonstration above given , the reason of the rule itself is evident : for the excess of 9s in ...
Page 62
... given number , after the manner of a quotient figure in Division . Subtract the square thus found from the same period , and to the remainder annex the two figures of the next following period , for a dividend . Double the root above ...
... given number , after the manner of a quotient figure in Division . Subtract the square thus found from the same period , and to the remainder annex the two figures of the next following period , for a dividend . Double the root above ...
Page 68
... given number , whether it be greater or less ; and call it the assumed cube . 2. Then say , by the Rule of Three , As the sum of the given number and double the assumed cube , is to the sum of the assumed cube and double the given ...
... given number , whether it be greater or less ; and call it the assumed cube . 2. Then say , by the Rule of Three , As the sum of the given number and double the assumed cube , is to the sum of the assumed cube and double the given ...
Page 69
... given power or number , n the index of the power , a the assumed power , r its root , R the required root of P. As the sum of n + 1 times A and n is to the sum of n + 1 times P and n so is the assumed root r , to be required R. case ...
... given power or number , n the index of the power , a the assumed power , r its root , R the required root of P. As the sum of n + 1 times A and n is to the sum of n + 1 times P and n so is the assumed root r , to be required R. case ...
Common terms and phrases
AB² ABCD Algebra altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients contained Corol cube root decimal denominator denote diagonal diameter distance divide dividend division divisor draw drawn equal equation equiangular EXAMPLES expression feet figure fraction frustum geometrical geometrical progression given number gives greater half height Hence improper fraction inches infinite series integer intersect length less logarithms measure method multiply number of terms parallel parallelogram perpendicular plane polygon PROBLEM proportional Q. E. D. THEOREM quadratic equation QUEST quotient radius ratio rectangle Reduce remainder right angles right-angled triangle rule segment sides sine solid angle square root straight line subtract surd tangent third triangle ABC u₁ VULGAR FRACTIONS yards