Search Results for Statics

Biographies

1. Cremona biography
   
   • He wrote articles on such diverse topics as twisted cubics, developable surfaces, the theory of conics, the theory of plane curves, third- and fourth-degree surfaces, statics and projective geometry.
     
   • Cremona's work in statics is of great importance and gives, in a clearer form, some theorems due to Maxwell.
     
   • In addition he was appointed professor of graphic statics.
     

2. Jordanus biography
   
   • In particular, he laid the foundation for the entire area of medieval statics.
     
   • On statics he wrote De ratione ponderis which contains results such as:- .
     
   • We can compare this result on statics with a result from De numeris datis which illustrates a possible motivation for the algebraic results in the latter text:- .
     

3. Sturm Rudolf biography
   
   • In 1872 Sturm was appointed assistant professor at the Technical College in Darmstadt where he taught descriptive geometry and graphic statics.
     
   • In order to provide a good teaching book for his students, Sturm published a textbook Elemente der darstellenden Geometrie on descriptive geometry and graphical statics for his students in 1874.
     
   • Sturm wrote extensively on geometry and, other than the teaching textbook on descriptive geometry and graphical statics which we mentioned above and one other teaching text Maxima und Minima in der elementaren Geometrie which he published in 1910, all his work was on synthetic geometry.
     

4. Monte biography
   
   • Guidobaldo's book Liber mechanicorum (1577) was regarded as the greatest work on statics since Greek times.
     
   • What were the main ideas in his book? He strongly adhered to the principle that more force was required to move a weight than was required to keep it in motion, so dynamics and statics had to be two separate subjects.
     
   • Galileo would later show how to unify statics and dynamics.
     

5. Stevin biography
   
   • Mainly dealing with statics, his treatment appears in his book De Beghinselen der Weegconst published in 1586.
     
   • It is famous for containing the theorem of the triangle of forces which gave impetus to statics.
     

6. Varignon biography
   
   • Varignon's chief contributions were to graphical statics and mechanics.
     
   • In 1724 Varignon's Nouvelle mecanique was published which gave the best approach to geometrical statics until the work of Poinsot over 75 years later.
     

7. Poinsot biography
   
   • He had published a number of works on geometry, mechanics and statics beginning with Elements de statique in 1803 and following this with [Dictionary of Scientific Biography (New York 1970-1990).',1)">1]:- .
     
   • His research in geometry, statics and dynamics is important.
     

8. Henrici biography
   
   • introduced projective geometry, vector analysis, and graphical statics into the University College mathematics syllabus - a radical departure from the analytically biased Cambridge-style course previously taught.
     
   • He also introduced graphical statics into the Bedford College syllabus and at the Central Technical College he set up a mechanics laboratory.
     

9. Brashman biography
   
   • The following year his textbook on mechanics, covering statics and hydrostatics using a highly original presentation, again won him the whole of the Demidov Prize.
     

10. Laplace biography
    
    • Imparting geometry, trigonometry, elementary analysis, and statics to adolescent cadets of good family, average attainment, and no commitment to the subjects afforded little stimulus, but the post did permit Laplace to stay in Paris.
      

11. Dechales biography
    
    • Topics covered in this wide ranging work included practical geometry, mechanics, statics, magnetism and optics as well as topics outwith the usual topics of mathematics such as geography, architecture, astronomy, natural philosophy and music.
      

12. Avicenna biography
    
    • Geometry he subdivided into geodesy, statics, kinematics, hydrostatics, and optics; astronomy he subdivided into astronomical and geographical tables, and the calendar; arithmetic he subdivided into algebra, and Indian addition and subtraction; music he subdivided into musical instruments.
      

13. Hamel biography
    
    • it was based on his lectures at the Technical University [of Brunn] dealing with the elements of statics, dynamics, and hydrodynamics, as well as more advanced problems.
      

14. Brioschi biography
    
    • In mechanics Brioschi dealt with problems of statics, proving Mobius's results by analytic means; with the integration of equations in dynamics, according to Jacobi's method; with hydrostatics; and with hydrodynamics.
      

15. Angeli biography
    
    • Angeli examined fluid statics based on Archimedes' principle and Torricelli's experiments.
      

16. Reye biography
    
    • This led him to graphical statics and von Staudt's work on geometry.
      

17. Dandelin biography
    
    • Dandelin also worked on stereographic projection of a sphere on a plane (1827), statics, algebra and probability.
      

18. Petersen biography
    
    • He wrote a series of textbooks based on courses he had given at the College of Technology: one on plane geometry in 1877; one on statics in 1881; one on kinematics in 1884; and one on dynamics in 1887.
      

19. Mobius biography
    
    • In 1837 he published Lehrbuch der Statik which gives a geometric treatment of statics.
      

20. Green Sandy biography
    
    • with First Class Honours in Mathematics in 1947 having taken the compulsory courses of Geometry, Algebra, Analysis, Statics, Dynamics and the optional courses of Special Functions, and Algebra in his final year of study.
      

21. Coulomb biography
    
    • to determine, as far as a combination of mathematics and physics will permit, the influence of friction and cohesion in some problems of statics.
      

22. Dehn biography
    
    • Dehn also wrote on statics, projective planes and the history of mathematics.
      

23. Lindemann biography
    
    • At Erlangen he studied for his doctorate and, under Klein's direction, he wrote a dissertation on non-Euclidean line geometry and its connection with non-Euclidean kinematics and statics.
      

24. Pearson biography
    
    • As well as giving lectures on statics, dynamics and mechanics, he completed the unfinished first volume of Clifford's The Common Sense of the Exact Sciences (published in 1885), completed and edited the half written first volume of Todhunter's History of the Theory of Elasticity, began working on the second volume which had hardly been started by Todhunter, and published many papers on applied mathematics.
      

25. Heron biography
    
    • It also examines the theory of motion, certain statics problems, and the theory of the balance.
      

26. Todhunter biography
    
    • Among his textbooks are Analytic Statics (1853), Plane Coordinate Geometry (1855), Examples of Analytic geometry in Three Dimensions (1858).
      

27. Zuse biography
    
    • working through the long statics calculations which are so important in the training of civil engineers..
      

28. Thabit biography
    
    • In astronomy Thabit was one of the first reformers of the Ptolemaic system, and in mechanics he was a founder of statics.
      

29. Bobillier biography
    
    • At the time of his death he was working on problems in kinematics, having earlier studied statics and in particular the catenary.
      

30. Mascheroni biography
    
    • In 1786 Mascheroni became professor of algebra and geometry at the University of Pavia, mainly on the strength of his excellent work on statics Nuove ricerche su l'equilibrio delle volte which he had published one year earlier.
      

31. Meshchersky biography
    
    • The text has three parts: Statics of rigid bodies, Kinematics, and Dynamics.
      

32. Saccheri biography
    
    • It is a work on statics of relatively little importance.
      

33. Menabrea biography
    
    • The principle of Menabrea states that the elastic energy of a body in perfect elastic equilibrium is a minimum with respect to any possible system of stress-variation compatible with the equations of the statics of continua in addition to the boundary conditions.
      

34. Stokes biography
    
    • a student was to become acquainted with the differential and integral calculus and to go on to statics, dynamics, conic sections and the first three sections of Newton's "Principia"..
      

35. Archimedes biography
    
    • Archimedes on statics .
      

36. Joachimsthal biography
    
    • At the University of Berlin Joachimsthal taught courses on analytic geometry and calculus, giving more advanced courses on the theory of surfaces, the calculus of variations, statics and analytic mechanics.
      

37. Wallis biography
    
    • There, to avoid being diverted to other discourses and for some other reasons, we barred all discussion of Divinity, of State Affairs, and of news (other than what concerned our business of philosophy) confining ourselves to philosophical inquiries, and related topics; as medicine, anatomy, geometry, astronomy, navigation, statics, mechanics, and natural experiments.
      

38. Ceva Giovanni biography
    
    • He also studied applications of mechanics and statics to geometric systems.
      

History Topics

1. Abstract linear spaces
   
   • In 1837 Mobius published a book on statics in which he clearly states the idea of resolving a vector quantity along two specified axes.
     

Famous Curves

Societies etc

References

1. References for La Hire
   
   • A Buti and M Corradi, The contributions of a 17th century mathematician to an architectural problem : Philippe de la Hire and the statics of arches (Italian), Atti Accad.
     

2. References for Valerio
   
   • P D Napolitani, Method and statics in Valerio : With editions of two early works (Italian), Boll.
     

3. References for Duhem
   
   • R N D Martin, The genesis of a mediaeval historian : Pierre Duhem and the origins of statics, Ann.
     

4. References for Varignon
   
   • I A Tjulina, The geometric statics of P Varignon (Russian), Voprosy Istor.
     

Additional material

1. Archimedes on statics
   
   • Archimedes on statics .
     
   • In On the Equilibrium of Planes, Archimedes discusses statics and the law of the lever in Book I, Postulates and Propositions.
     
   • http://www-history.mcs.st-andrews.ac.uk/Extras/Archimedes_on_statics.html .
     

2. St Andrews Physics Examinations
   
   • STATICS AND DYNAMICS.
     

3. Mathematics in Aberdeen.html
   

4. Mathematics in Aberdeen
   
   • The course embraces the subjects of Statics, Dynamics, Hydrostatics, Pneumatics, the Theory of Heat, &c., the whole being treated both Experimentally and Mathematically.
     
   • Todhunter's Statics, First Ten Chapters, Chap.
     

5. Mathematics in St Andrews
   
   • The following books are also recommended for study:- Todhunter's Statics.
     

6. Hagia Sophia
   
   • He had the good sense to turn to someone who was not trained as an architect but who was a scholar, knowledgeable in mathematics, statics and dynamics.
     

7. Levi-Civita: 'Absolute Differential Calculus
   
   • A further characteristic of our exposition is that we make extensive use not only of geometrical representation but also of the differential properties pertaining to the space-time continuum; attention is drawn also to the special importance of the Einsteinian statics, the treatment being rigorous in some cases, while in others which involve fields variable with the time, it is approximate.
     

8. Gibson History 2 - Mathematics in the schools
   
   • The oldest of these academies is Perth Academy, founded in 1760, and it began with a very ambitious programme in mathematics, viz., the higher branches of arithmetic; mathematical, physical and political geography; algebra, including the theory of equations, and the differential calculus; geometry, consisting of the first six books of Euclid; plane and spherical trigonometry; mensuration of surfaces and solids; navigation, fortification; analytical geometry and conic sections, natural philosophy, consisting of statics, dynamics, hydrostatics, pneumatics, optics and astronomy.
     

9. Mathematics in Edinburgh
   
   • Abstract Dynamics - including Kinematics, Statics and Kinetics of Solid, Liquid, and Gaseous Bodies, with their applications.
     

10. G H Hardy's schedule of lectures in the USA
    
    • He and Milne were two of the four lecturers giving courses at a symposium on theoretical physics at the University of Michigan, 24 June-16 August, 1929: Milne spoke on problems in astrophysics and vector and tensor methods in statics and dynamics; Dirac gave an introduction to quantum mechanics.
      

Quotations

Chronology