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Category Archives: Newton
Elegant Proofs – 1
Roger Penrose in his book “The Road to Reality” gives a remarkably simple proof of Pythagoras’ Theorem: Drawing a perpendicular to the hypotenuse from the right angle (line CD) will divide any right angled triangle into two similar triangles, both … Continue reading
Posted in Maths, Newton
Tagged Penrose, Pythagoras, Road to Reality, similar triangles
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Playing with numbers
A reader of Melbourne’s Herald-Sun newspaper has posted some data from the Australian Bureau of Meteorology, purporting to show a total lack of climate change, in spite of steadily increasing CO2 concentrations: Where’s the heat Funily enough, when you … Continue reading
Reinforced Concrete Section Analysis – 2
Previous Post Pseudo-code for elastic analysis of a layered reinforced concrete section under eccentric axial load and pre-stress load: Read data ‘For each reinforcement layer: Find area, first moment of area about top ,and depth of centroid. Find total reinforcement … Continue reading
Making light of gravity
The man who fell sideways A matter of some gravity
Evaluate Function
It would often be convenient to evaluate a function entered as text; for instance if we have the function for the deflection of a cantilever under point loading at the end: F*L^3/(3*E*I) then it would be convenient to be able … Continue reading