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Frederick Francis Percival Bisacre  
  
112   06:13 مساءً   date: 6-6-2017
Author : J J O,Connor and E F Robertson
Book or Source : J J O,Connor and E F Robertson
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Date: 13-6-2017 37
Date: 9-6-2017 88
Date: 9-6-2017 28

Born: 20 June 1885 in Tonbridge, Kent, England

Died: 9 November 1954 in Helensburgh, Scotland


F F P Bisacre's father was George Bisacre, born Wootton Under Edge, Gloucestershire in about 1846 and his mother was Emma Garrett born North Newington, Oxfordshire in about 1848. Frederick Bisacre had three older siblings: Edith Blanche (born about 1872), Elizabeth C (born about 1877) and Ernest born about 1880.

Bisacre was educated privately and at Trinity College, Cambridge. From 1910 to 1919 he was with Merz and McLellan Consulting, Engineers, first as Assistant, and later as Personal Assistant to Mr Charles Merz.

In 1915 Bisacre married Jean Margaret Blackie, eldest daughter of Walter W Blackie (1861-1953) and Anna Christina Younger (1866-1957). Walter W Blackie was the director of the well-known Glasgow publisher. The announcement appeared in the press as follows:-

At Glasgow Cathedral on the 28 April 1915, by the Rev. Alexander Ritchie, B.D. Dunblane assisted by the Rev. John G C Christie, B.D., Helensburgh, Frederick Francis Percival Bisacre, son of George Bisacre, Southborough, Kent, to Jean Margaret Blackie, eldest daughter of Walter W Blackie, The Hill House, Helensburgh, Dumbartonshire.

The Hill House is the finest of Charles Rennie Mackintosh's domestic creations. It is situated high above the Clyde commanding fine views over the river estuary. Walter Blackie commissioned not only the house and garden but much of the furniture and all the interior fittings and decorative schemes. In 1904 the Blackie family had moved into their new home. The Hill House is now a National Trust for Scotland property, and is open to the public.

In 1920 Bisacre joined Blackie & Son Ltd, and became a Director, and subsequently he was Chairman of the Company. Bisacre was elected an Associate Member of the Institute of Civil Engineers in 1914. For his paper on Overhead Track Construction for Direct-Current Electric Railways, he was awarded a Crampton Prize.

In 1921 Bisacre's Applied calculus; an introductory textbook was published by Blackie and Son. The book consisted of 446 pages and was reviewed in the Bulletin of the American Mathematical Society. 
See THIS LINK.

As examples of Bisacre's papers we quote his own abstract to two of them. First we gave the abstract of The theory of the formation of an image by a plane band grating used in the soft X-ray region which appears in Proc. Phys. Soc. 47 No 5 (1 September 1935) 948-963:-

ABSTRACT. 
This paper describes an investigation of the reflection of light from a plane grating illuminated by a cylindrical wave diverging from a Huygens line source. It is shown that for pencils sufficiently narrow the isophasics 
(properly parabolas) become circles with a virtual focus as centre. The position of this virtual focus is found. A formula is given for the intensity of the light along the reflected isophasic. It has a Fresnel integral as a factor. It is shown that if the dimensions of the grating are chosen so that the modulus of the Fresnel integral has its maximum value, the intensity along the isophasic varies after the fashion of an Airy image and the maximum possible intensity occurs on the axis of the reflected pencil - in other words, the reflected light is automatically focused. The critical (optimum) length of the grating for automatic focusing is determined by the condition that the quadratic term in the expansion for the optical path in powers of distance measured along the grating face from its centre must be three-eighths of a wave-length. Formulae for the dispersion and resolution of an optimum grating are given and the resolution turns out to be exactly the same as for an ordinary grating, namely the total number of lines on the grating multiplied by the spectral order. Some numerical examples are given. Third-order effects have been considered and it is shown that in the conditions contemplated in the use of these optimum gratings, the third-order term affects the length of the optical path by something like one 650th part of a wave-length, and is consequently negligible.

Next we give the abstract of Some preliminary notes on diffraction gratings which appeared in Proc. Phys. Soc. 48 No 1 (1 January 1936) 184-188:-

ABSTRACT. 
In 
§1 a simple test, using polarized light, for the best setting of a diffraction grating is described. When used under the best conditions for brightness, a grating should show little or no polarizing effect. The reason for this depends upon the fact that the Huygens-Kirchhoff integrals for the electric and magnetic vectors have different cosine factors which have the same value only in the case of ordinary reflection. 
In 
§2 an extension of the Huygens-Kirchhoff integrals bringing in a second approximation is given. This second approximation becomes important if either the radius of curvature is comparable to the wave-length of light or the angle of incidence is very nearly 90° , as it may be in soft X-ray experiments.
In 
§3 a new curve for the effect of slit-width upon the resolving-power of a spectroscope is given and compared with Schuster's curve also. Schuster's curve is based on the assumption that the slit is filled with incoherent light; the author's, with coherent light. These two curves are probably upper and lower limits. 
In 
§4 a new method of ruling concave gratings, namely radial ruling, is suggested. In this method the diamond is given a uniform chordal displacement, from line to line, as in the present method of ruling, but during its displacement from line to line it is constrained to rotate about an axis parallel to the ruled lines and passing through the centre of curvature of the face of the grating. For the metal concave grating of more than 20,000 lines per inch this method of ruling would do what figuring does for an astronomical mirror, though not to so high an order of accuracy.

In December 1925 Bisacre joined the Edinburgh Mathematical Society giving his address as c/o Messrs Blackie & Co., 17 Stanhope Street, Glasgow.

Bisacre and his wife had two sons and one daughter. Their first son, George Henry Bisacre, was born on 13 March 1916. Their second son, David Walter Bisacre, was born three years later and their daughter, Margaret A Bisacre, was born in 1925. Margaret Bisacre graduated M.A. Ordinary from the University of St Andrews in 1947, then was awarded Second Class Honours in English Language and Literature in 1949. On 9 October 1947 the engagement was announced between George Henry Bisacre, elder son of Mr and Mrs F F P Bisacre, Ascania, Helensburgh, Dumbartonshire and Barbara Joan Plant. They were married on 27 December 1947 and had a son at Lorna Lodge Nursing Home, Manchester, on 17 January 1949. The announcement of the younger son's marriage appeared in the press in the following form:-

At Cambridge on Wednesday 29 March 1944, David Walter Bisacre, Captain, R.E., younger son of Mr and Mrs F F P Bisacre, Ascania, Helensburgh, Dumbartonshire to Phyllis Southwell Mansfield, A.T.S., eldest daughter of Mr and Mrs Wilfred Mansfield, 10 Grange Road, Cambridge. David Walter Bisacre attended Charterhouse School and was on the winning team for the School's Cup yachting races on the Gareloch in August 1936.


 

Article by: J J O,Connor and E F Robertson

November 2007

 




الجبر أحد الفروع الرئيسية في الرياضيات، حيث إن التمكن من الرياضيات يعتمد على الفهم السليم للجبر. ويستخدم المهندسون والعلماء الجبر يومياً، وتعول المشاريع التجارية والصناعية على الجبر لحل الكثير من المعضلات التي تتعرض لها. ونظراً لأهمية الجبر في الحياة العصرية فإنه يدرّس في المدارس والجامعات في جميع أنحاء العالم. ويُعجب الكثير من الدارسين للجبر بقدرته وفائدته الكبيرتين، إذ باستخدام الجبر يمكن للمرء أن يحل كثيرًا من المسائل التي يتعذر حلها باستخدام الحساب فقط.وجاء اسمه من كتاب عالم الرياضيات والفلك والرحالة محمد بن موسى الخورازمي.


يعتبر علم المثلثات Trigonometry علماً عربياً ، فرياضيو العرب فضلوا علم المثلثات عن علم الفلك كأنهما علمين متداخلين ، ونظموه تنظيماً فيه لكثير من الدقة ، وقد كان اليونان يستعملون وتر CORDE ضعف القوسي قياس الزوايا ، فاستعاض رياضيو العرب عن الوتر بالجيب SINUS فأنت هذه الاستعاضة إلى تسهيل كثير من الاعمال الرياضية.

تعتبر المعادلات التفاضلية خير وسيلة لوصف معظم المـسائل الهندسـية والرياضـية والعلمية على حد سواء، إذ يتضح ذلك جليا في وصف عمليات انتقال الحرارة، جريان الموائـع، الحركة الموجية، الدوائر الإلكترونية فضلاً عن استخدامها في مسائل الهياكل الإنشائية والوصف الرياضي للتفاعلات الكيميائية.
ففي في الرياضيات, يطلق اسم المعادلات التفاضلية على المعادلات التي تحوي مشتقات و تفاضلات لبعض الدوال الرياضية و تظهر فيها بشكل متغيرات المعادلة . و يكون الهدف من حل هذه المعادلات هو إيجاد هذه الدوال الرياضية التي تحقق مشتقات هذه المعادلات.