Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.
Equal weights at equal distances are in equilibrium and equal weights at unequal distances are not in equilibrium but incline towards the weight which is at the greater distance.
Rise above oneself and grasp the world.
There are things which seem incredible to most men who have not studied Mathematics.
Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible.
The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides.
Having been the discoverer of many splendid things, he is said to have asked his friends and relations that, after his death, they should place on his tomb a cylinder enclosing a sphere, writing on it the proportion of the containing solid to that which is contained.
How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!
The centre of gravity of any cylinder is the point of bisection of the axis.
The diameter of the earth is greater than the diameter of the moon and the diameter of the sun is greater than the diameter of the earth.
The perimeter of the earth is about 3,000,000 stadia and not greater.
Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.
Fellow, stand away from my diagram.
Give me a lever long enough and a place to stand and I will move the entire earth.
If you are a pedestrian, you are not mechanical enough to be of priority to traffic engineers.
The contempt of motorists for pedestrians is so ironic, because no matter how many cars they have, they are also pedestrians, biologically. Unless they fly to the doors of their cars.
A city without some form of a transect is like a country without a constitution; It is a breeding ground for spatial anarchy.
If modern environmentalism continue on the current path of wilding the city, future urban dwellers might as well live in tree houses, for all the difference it will make.
Debates on housing policy have denigrated into shouting matches merely about ethics, values and rights. Polarised debates where socialism is regarded glorious and capitalism disastrous.
The environmental movement of the 21st century created a new path to sustainability for cities, the path of wilderness.
In postcolonial Africa, single dwelling housing is the biggest perpetrator of urban segregation.