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Side 15
... hold for the multipli- cation of any algebraical expressions . This will appear from considering a few examples . Suppose , for instance , we have to multiply 4a2 - 5ab + 66a by 2a2 – 3ab + 4b3 . The required pro- duct here is - - 2a2 ...
... hold for the multipli- cation of any algebraical expressions . This will appear from considering a few examples . Suppose , for instance , we have to multiply 4a2 - 5ab + 66a by 2a2 – 3ab + 4b3 . The required pro- duct here is - - 2a2 ...
Side 36
... holds when a is a negative quantity . Similarly any other case may be established . 93. We must now shew that the rule for multiplying bino- mial and polynomial expressions given in Art . 48 is true , whatever the symbols denote . Take ...
... holds when a is a negative quantity . Similarly any other case may be established . 93. We must now shew that the rule for multiplying bino- mial and polynomial expressions given in Art . 48 is true , whatever the symbols denote . Take ...
Side 37
... hold when a or b is nega- tive , or when both are negative . Thus , for example , in algebraical language 1 is greater than -2 and -2 is greater than -3 . 96. Before leaving this part of the subject we may make a few general remarks ...
... hold when a or b is nega- tive , or when both are negative . Thus , for example , in algebraical language 1 is greater than -2 and -2 is greater than -3 . 96. Before leaving this part of the subject we may make a few general remarks ...
Side 38
... hold when the symbols have not purely arithmetical meanings . In recent works , as in the present , an attempt is made to establish the proofs completely . It must not however be denied that this branch of the subject presents ...
... hold when the symbols have not purely arithmetical meanings . In recent works , as in the present , an attempt is made to establish the proofs completely . It must not however be denied that this branch of the subject presents ...
Side 53
... hold uni- versally in Algebra . In the following articles the letters repre- sent whole numbers , unless it is stated otherwise . a b 132. By the expression we indicate that a unit has been divided into b equal parts , and that a of ...
... hold uni- versally in Algebra . In the following articles the letters repre- sent whole numbers , unless it is stated otherwise . a b 132. By the expression we indicate that a unit has been divided into b equal parts , and that a of ...
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Vanlige uttrykk og setninger
7th term a+b+c arithmetic mean arithmetical ax² Binomial Theorem black balls chance cloth coefficient common contains continued fraction convergent Crown 8vo denote digits divided divisible divisor equal event example expansion Extract the square factors Fcap Find the number Geometrical Progression greater than unity Hence least common multiple less than unity letters logarithm miles multiply negative quantity number of combinations number of terms obtain occur P₁ positive integers positive quantity preceding article prime number probability problem quadratic equation quadratic surd quotient radix ratio recurring decimal remainder result scale shew shillings Similarly solution square number square root subtraction suppose supposition surd things taken trial unknown quantities white balls whole number
Populære avsnitt
Side 445 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
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Side 467 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Side 48 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Side 465 - Prize Essay for 1877. 8vo. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Side 445 - Crown 8vo. 7s. 6d. HOWARD. — The Pentateuch ; Or, the Five Books of Moses. Translated into English from the Version of the LXX. With Notes on its Omissions and Insertions, and also on the Passages in which it differs from the Authorized Version. By the Hon. HENRY HOWARD, DD Crown 8vo. GENESIS, One Volume, 8s. 6d. ; EXODUS AND LEVITICUS, One Volume, 10s. 6d. ; NUMBERS AND DEUTERONOMY, One Volume, 10s. 6d. HOZIER. — The Seven Weeks' War ; Its Antecedents and its Incidents.
Side 468 - Wilson. — A MEMOIR OF GEORGE WILSON, MD, FRSE, Regius Professor of Technology in the University of Edinburgh. By his SISTER. New Edition. Crown 8vo. 6s. "An exquisite and touching portrait of a rare and beautiful spirit.
Side 467 - The fitness of Holy Scripture for Unfolding the Spiritual Life of Man : Christ the Desire of all Nations ; or, the Unconscious Prophecies of Heathendom.
Side 463 - NAPIER.— Lord Bacon and Sir Walter Raleigh. Critical and Biographical Essays. By MACVEY NAPIER, late Editor of the Edinburgh Review and of the Encyclopedia Britannica. Post 8vo. cloth, Is.
Side 445 - FROST— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St.