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Σελίδα 99
... digits ; the number is equal to three times the sum of its digits , and if it be multiplied by three , the result will be equal to the square of the sum of its digits . Find the number . 31. A certain number of two digits digits four ...
... digits ; the number is equal to three times the sum of its digits , and if it be multiplied by three , the result will be equal to the square of the sum of its digits . Find the number . 31. A certain number of two digits digits four ...
Σελίδα 107
... digits ; the number is equal to three times the sum of its digits , and if it be multiplied by three , the result will be equal to the square of the sum of its digits . Find the number . 31. A certain number of two digits digits four ...
... digits ; the number is equal to three times the sum of its digits , and if it be multiplied by three , the result will be equal to the square of the sum of its digits . Find the number . 31. A certain number of two digits digits four ...
Σελίδα 131
... digits , so that x cannot contain more than ха is a proper 2a 2n digits ; but a contains 2n + 1 digits , and thus , fraction . 247. We will now investigate the method of extracting the cube root of a compound quantity . a3 + 3a2b + 3ab2 ...
... digits , so that x cannot contain more than ха is a proper 2a 2n digits ; but a contains 2n + 1 digits , and thus , fraction . 247. We will now investigate the method of extracting the cube root of a compound quantity . a3 + 3a2b + 3ab2 ...
Σελίδα 139
... digits , its square root contains } { 2n + 1 - ( - 1 ) " } digits . 26. Shew that the following expression is an exact square : ( x3 — yz ) 3 + ( y2 — zx ) 3 + ( ≈3 — xy ) 3 − 3 ( x2 — yz ) ( y2 — zx ) ( ≈2 — xy ) . - XVIII . THEORY ...
... digits , its square root contains } { 2n + 1 - ( - 1 ) " } digits . 26. Shew that the following expression is an exact square : ( x3 — yz ) 3 + ( y2 — zx ) 3 + ( ≈3 — xy ) 3 − 3 ( x2 — yz ) ( y2 — zx ) ( ≈2 — xy ) . - XVIII . THEORY ...
Σελίδα 227
... connected with this subject . The figures by means of which a number is expressed are called digits . When we speak in future of any radix we shall 15-2 EXAMPLES ON VARIATION . CHAPTER XXVIII . 227 Scales of Notation.
... connected with this subject . The figures by means of which a number is expressed are called digits . When we speak in future of any radix we shall 15-2 EXAMPLES ON VARIATION . CHAPTER XXVIII . 227 Scales of Notation.
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 48 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.