Algebra1860 |
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Page ix
... Equations with one Un- known Quantity • XI . Simultaneous Equations of the First Degree with two Un- known Quantities • XII . Simultaneous Equations of the First Degree with more than two Unknown Quantities XIII . Problems which lead to ...
... Equations with one Un- known Quantity • XI . Simultaneous Equations of the First Degree with two Un- known Quantities • XII . Simultaneous Equations of the First Degree with more than two Unknown Quantities XIII . Problems which lead to ...
Page x
... Equation of Payments XLIV . Continued Fractions 198 206 . 212 222 227 240 . 250 258 . 262 267 . 278 286 · • 300 306 ... Equations of the First Degree . XLVII . Indeterminate Equations of a Degree higher than the first . 367 Partial ...
... Equation of Payments XLIV . Continued Fractions 198 206 . 212 222 227 240 . 250 258 . 262 267 . 278 286 · • 300 306 ... Equations of the First Degree . XLVII . Indeterminate Equations of a Degree higher than the first . 367 Partial ...
Page 64
... equation . The expressions thus connected are called sides of the equation , or members of the equa- tion . The expression to the left of the sign of equality is called the first side , and the expression to the right the second side ...
... equation . The expressions thus connected are called sides of the equation , or members of the equa- tion . The expression to the left of the sign of equality is called the first side , and the expression to the right the second side ...
Page 65
... equation . An identical equation is called briefly an identity . 150. An equation of condition is one which is not true for every value of the letters , but only for a certain number of values ; for example , x + 1 = 7 cannot be true ...
... equation . An identical equation is called briefly an identity . 150. An equation of condition is one which is not true for every value of the letters , but only for a certain number of values ; for example , x + 1 = 7 cannot be true ...
Page 66
... equation without destroying the equality which it expresses . It will be seen afterwards that these operations are useful when we have to solve equations . 154. If every term on each side of an equation be multiplied or divided by the ...
... equation without destroying the equality which it expresses . It will be seen afterwards that these operations are useful when we have to solve equations . 154. If every term on each side of an equation be multiplied or divided by the ...
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Common terms and phrases
7th term a+b+c arithmetic mean arithmetical ax˛ 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
Popular passages
Page 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.
Page 445 - Christ and other Masters. A Historical Inquiry into some of the Chief Parallelisms and Contrasts between Christianity and the Religious Systems of the Ancient World.
Page 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.
Page 48 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 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.
Page 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.
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Page 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.
Page 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.
Page 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.