The quadrature of the circle: correspondence between an eminent mathematician and James SmithSimpkin, Marshall, 1861 - 200 σελίδες |
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Σελίδα
... ASSOCIATION FOR THE ADVANCEMENT OF SCIENCE . ' 66 Strike , but Hear ! " 180.a.21 LONDON SIMPKIN , MARSHALL & CO . , STATIONERS ' HALL COURT EDINBURGH : OLIVER & BOYD . MDCCCLXI . 183 . e . 45 . EDWARD HOWELL , PRINTER , CHURCH STREFT ...
... ASSOCIATION FOR THE ADVANCEMENT OF SCIENCE . ' 66 Strike , but Hear ! " 180.a.21 LONDON SIMPKIN , MARSHALL & CO . , STATIONERS ' HALL COURT EDINBURGH : OLIVER & BOYD . MDCCCLXI . 183 . e . 45 . EDWARD HOWELL , PRINTER , CHURCH STREFT ...
Σελίδα iii
... Association for the Advancement of Science , " APPENDIX B. - Paper read in the Mathematical Section of the British Association for the Advancement of Science , at their Twenty - ninth Meeting , held at Aberdeen , on Wednesday , the 21st ...
... Association for the Advancement of Science , " APPENDIX B. - Paper read in the Mathematical Section of the British Association for the Advancement of Science , at their Twenty - ninth Meeting , held at Aberdeen , on Wednesday , the 21st ...
Σελίδα viii
... Association for the Advancement of Science " may assume infallibility , and authoritatively proclaim that the solution of the problem is impossible ; and may consequently decline to permit the consideration of the subject to be ...
... Association for the Advancement of Science " may assume infallibility , and authoritatively proclaim that the solution of the problem is impossible ; and may consequently decline to permit the consideration of the subject to be ...
Σελίδα x
... Association , of which I have been a member almost from the earliest period of its existence . A short time before the meeting of the Association , I addressed a letter to the Honorary Secretary , informing him that it was my intention ...
... Association , of which I have been a member almost from the earliest period of its existence . A short time before the meeting of the Association , I addressed a letter to the Honorary Secretary , informing him that it was my intention ...
Σελίδα xi
... Association . I had the pleasure to hear His Royal Highness the Prince Consort , the President of the Association for that year , deliver his opening address , and I shall ever remem- ber the gratification I felt , on hearing His Royal ...
... Association . I had the pleasure to hear His Royal Highness the Prince Consort , the President of the Association for that year , deliver his opening address , and I shall ever remem- ber the gratification I felt , on hearing His Royal ...
Συχνά εμφανιζόμενοι όροι και φράσεις
angle approximative value area of circle area of square arithmetical mean arithmetical symbols Barkeley House circle inscribed circle X circum circumference of circle cumference decimal demonstrated describe the circle describe the square diameter and circumference diameter is unity diameter of circle diameter to circumference direct your attention EMINENT MATHEMATICIAN equal to half equal to three equal to twice equilateral triangle exactly equal facts ference geometrical figures given number half the area hypotheneuse inscribed circle inscribed square isosceles triangle Let the diameter letter linear unit orthodox data perimeter ratio of diameter rectangle represent the circumference side A B side B C side of square square A B C D square A K L B square ABCD square circumscribed square D square described square E F G H subtends superficial area third side three and one-eighth triangle A B C true twice the area writer's hypothesis
Δημοφιλή αποσπάσματα
Σελίδα 75 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 75 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα xi - Remembering that this association is a popular association, not a secret confraternity of men jealously guarding the mysteries of their profession, but inviting the uninitiated — the public at large — to join them ; having as one of its objects to break down those imaginary and hurtful barriers which exist between men of science and so-called men of practice...
Σελίδα 26 - Rule. — Multiply half the circumference by half the diameter, and the product will be the area.
Σελίδα vii - ... witnesses were cunningly imposed upon, or the wizard himself deluded. If the most numerous ship's company were all to asseverate that they had seen a mermaid, would any rational persons at the present day believe them? That they saw something which they believed to be a mermaid, would be easily conceded. No amount of attestation of innumerable and honest witnesses would ever convince any one, versed in mathematical and mechanical science, that a person had squared the circle or discovered perpetual...
Σελίδα xxii - ... equal to the right angles in the others, and the angle at C forms the angle at the base to every one of the three triangles, that is, it is common to all the three ; and as all the angles of a plane triangle are together equal to two right angles (Art. 5) the remaining or third angle must be equal in all the triangles ; for that angle is the complement (Art. 5) of the angle at C in each of the triangles. Now all plane triangles which are equiangular, have the sides which contain the corresponding...
Σελίδα 26 - The diamoter of a circle being given, to find the circumference. RULE.
Σελίδα 58 - TT denotes the number of times the diameter of a circle is contained in the circumference...
Σελίδα 61 - ... would be not at all the less true if a future state were a chimera, and prudence a quality which was nowhere met with; nor would the truth of the Mathematician's conclusion be shaken, that " circles are to each other as the squares of their diameters...
Σελίδα 143 - I was writing to one earnestly engaged in the search after truth, and my observations were confined to the pointing out to him, how he might convince himself that he was altogether wrong. My letters were not intended for publication, and I protest against their being published, for I do not wish to be gibbeted to the world as having been foolish enough to enter upon, what I feel now to have been, a ridiculous enterprize.