The elements of algebra1857 |
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Σελίδα 45
... n , a " ÷ a " = a " - " × a " ÷ a " = a " ~ " . Similarly 6ab ÷ 3a′b3 = 2a2b3 × 3a2b3 ÷ 3a2b3 = 2a2b3 ; and ( a TM b " ) ÷ ( a2b1 ) = : a TM -3 / * ~ ¶ ̧ a2b1 ÷ aol¶ = am - Pl " -9 . a a a b 96. LEMMA . To shew that DIVISION . 45 Division.
... n , a " ÷ a " = a " - " × a " ÷ a " = a " ~ " . Similarly 6ab ÷ 3a′b3 = 2a2b3 × 3a2b3 ÷ 3a2b3 = 2a2b3 ; and ( a TM b " ) ÷ ( a2b1 ) = : a TM -3 / * ~ ¶ ̧ a2b1 ÷ aol¶ = am - Pl " -9 . a a a b 96. LEMMA . To shew that DIVISION . 45 Division.
Σελίδα 46
James Wood Thomas Lund. a a a b 96. LEMMA . To shew that a ÷ b is equal to the fraction Б ' According to the definition of a ' fraction ' the unit is divided into b equal parts , and a of them are taken , to make the quantity represented ...
James Wood Thomas Lund. a a a b 96. LEMMA . To shew that a ÷ b is equal to the fraction Б ' According to the definition of a ' fraction ' the unit is divided into b equal parts , and a of them are taken , to make the quantity represented ...
Σελίδα 77
... shew the number of figures , or places in the square root . Thus the square root of 4357 consists of two figures , the square root of 56478 , of three figures , & c . NOTE 2 . Ex . 1. Let the square root of 4856 be required . Having ...
... shew the number of figures , or places in the square root . Thus the square root of 4357 consists of two figures , the square root of 56478 , of three figures , & c . NOTE 2 . Ex . 1. Let the square root of 4856 be required . Having ...
Σελίδα 79
... shew the number of places in its cube root . NOTE 2 . Ex . 1. Let the cube root of 405224 be required . 405224 ( 70 + 4 a3 = 343000 3a2 = 14700 ) 62224 the first remainder . 58800 = 3a2b 3360 = 3ab2 64b3 62224 subtrahend . By pointing ...
... shew the number of places in its cube root . NOTE 2 . Ex . 1. Let the cube root of 405224 be required . 405224 ( 70 + 4 a3 = 343000 3a2 = 14700 ) 62224 the first remainder . 58800 = 3a2b 3360 = 3ab2 64b3 62224 subtrahend . By pointing ...
Σελίδα 84
... shew that the several Definitions are not in practice inconsistent with each other — and to supply the proofs still wanting in order that the Rules may be extended to all possible cases which can occur .. ( 1 ) The primary Definition ...
... shew that the several Definitions are not in practice inconsistent with each other — and to supply the proofs still wanting in order that the Rules may be extended to all possible cases which can occur .. ( 1 ) The primary Definition ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
according added algebraical amount annuity appears applied assume becomes binomial called cent chance coefficient combinations common common measure Comp compound contain continued convergent cube decimal denominator determined difference digits divided divisible divisor Edition equal equation EXERCISES expansion expressed Extract factors figures Find the value former four fraction given greater greatest happen Hence History hour increased integer interest latter least less manner means method miles multiplied negative obtained operation paid person places positive Present prime probability Progression proportion proposed prove quantity quotient ratio reduced remainder represented respectively result rule scale shew shillings side simple solution square root subtracted suppose surd taken things third true unit unknown quantities varies vols whole number
Δημοφιλή αποσπάσματα
Σελίδα 574 - Ephemera. — The Book of the Salmon: Comprising the Theory, Principles, and Practice of Fly-fishing for Salmon: Lists of good Salmon Flies for every good River in the Empire ; the Natural History of the Salmon, all its known Habits described, and the best way of artificially Breeding it explained. With numerous coloured Engravings. By EPHEMERA j assisted by ANDREW YOUNG.
Σελίδα 577 - Kirby and Spence's Introduction to Entomology ; or, Elements of the Natural History of Insects : Comprising an Account of Noxious and Useful Insects, of their Metamorphoses, Food, Stratagems, Habitations, Societies, Motions, Noises, Hybernation, Instinct, &c.