Algebraical exercises progressively arranged, by C.A. Jones and C.H.H. Cheyne |
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Σελίδα 24
... distance between the boats 30 strokes of the second boat , after how many strokes will it bump the first ? EXERCISE XXIX . 1. Multiply ( I − 1 ) + y ? ( −1 ) by x2 - 1 ) —y ? ( P - 1 ) , and prove the result by division . Divide a3 b3 ...
... distance between the boats 30 strokes of the second boat , after how many strokes will it bump the first ? EXERCISE XXIX . 1. Multiply ( I − 1 ) + y ? ( −1 ) by x2 - 1 ) —y ? ( P - 1 ) , and prove the result by division . Divide a3 b3 ...
Σελίδα 28
... distance of 180 miles ) travels half as fast again as an ordinary train , and performs the distance in two hours less time ; find the rates of travelling . EXERCISE XXXIII . 1. Divide aa'x2 + ( ab ' + a'b ) xy + bb'y2 + ( ac22 + a′c2 ) ...
... distance of 180 miles ) travels half as fast again as an ordinary train , and performs the distance in two hours less time ; find the rates of travelling . EXERCISE XXXIII . 1. Divide aa'x2 + ( ab ' + a'b ) xy + bb'y2 + ( ac22 + a′c2 ) ...
Σελίδα 33
... distance in 25 minutes ; supposing both crews to row uniformly , and 40 strokes of the former to be equiva- lent to 36 of the latter , find the position of the losing boat at the end of the race ? EXERCISE XXXVIII . 1. Find the G.C.M. ...
... distance in 25 minutes ; supposing both crews to row uniformly , and 40 strokes of the former to be equiva- lent to 36 of the latter , find the position of the losing boat at the end of the race ? EXERCISE XXXVIII . 1. Find the G.C.M. ...
Σελίδα 47
... distance between the towns , and the rates of the train . EXERCISE L. 1. Shew that 4a2 - 462 is a factor of ( a2 + ab — b2 ) 2 — ( a2 — ab — b2 ) 3 , and find the condition that a2 + nax + a2 may be a factor x2 + ax3 + a2x2 + a3x + aa ...
... distance between the towns , and the rates of the train . EXERCISE L. 1. Shew that 4a2 - 462 is a factor of ( a2 + ab — b2 ) 2 — ( a2 — ab — b2 ) 3 , and find the condition that a2 + nax + a2 may be a factor x2 + ax3 + a2x2 + a3x + aa ...
Σελίδα 67
... distance between the boats is equal to 30 strokes of the second boat , after how many strokes will it bump the first ? EXERCISE LXVI . 1. Find the value of the continued product of ( 1 - ax ) ( 1 - bx ) { 1- ( a + b ) x } 1 1 + if x ...
... distance between the boats is equal to 30 strokes of the second boat , after how many strokes will it bump the first ? EXERCISE LXVI . 1. Find the value of the continued product of ( 1 - ax ) ( 1 - bx ) { 1- ( a + b ) x } 1 1 + if x ...
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Algebraical Exercises Progressively Arranged, by C.A. Jones and C.H.H. Cheyne Charles Alfred Jones,Charles Hartwell H Cheyne Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c a²-b² a²+ab+b² a²+b² Algebra Author has endeavoured BEGINNERS Binomial Theorem boat BROOKE FOSS WESTCOTT Calculus Cambridge cloth Collection of Examples Crown 8vo cube root D'Alembert's Principle digits Divide dozen elementary factors ELEMENTARY TREATISE equal EXERCISE Extract the square Fellow of St Find the coefficient Find the G.C.M. Find the number Find the value fraction geometrical progression harmonic means infinity ISAAC TODHUNTER John's College late Fellow Latin Lecturer of St M.A. Fellow Mathematical Lecturer Multiply number of combinations numerous Examples P. G. TAIT positive integers prove ratio scale SCHOOL CLASS BOOK Second Edition shew shillings simplest forms Simplify the expressions Solutions Solve the equations square root St John's College strokes student Sum the series Third Edition tions Uppingham School x²+y³ yards
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