"If two equal weights have not the same centre of gravity, the centre of gravity of both taken together is at the midd…"

"Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnit…"

"I thought fit to... explain in detail in the same book the peculiarity of a certain method, by which it will be possi…"

"I am persuaded that it [The Method of Mechanical Theorems] will be of no little service to mathematics; for I apprehe…"

"δῶς μοι πᾶ στῶ καὶ τὰν γᾶν κινάσω. [Dôs moi pâ stô, kaì tàn gân kinásō.]"

"Noli turbare circulos meos. or Noli tangere circulos meos."

"How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!"

"Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended…"

"Equal weights at equal distances are in equilibrium and equal weights at unequal distances are not in equilibrium but…"

"The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides."