One of the most curious of these cases [geometrical paradoxers] was that of a student, I am not sure but a graduate, of the University of Virginia, who claimed that geometers were in error in assuming that a line had no thickness. He published a school geometry based on his views, which received the endorsement of a well-known New York school official and, on the basis of this, was actually endorsed, or came very near being endorsed, as a text-book hi the public schools of New York.
Simon NewcombRelated topics
came endorsement error geometry line near public school sureRelated quotes
Because finally, "the equal right of every citizen to the free exercise of his religion according to the dictates of conscience” is held by the same tenure with all his other rights. If we recur to its origin, it is equally the gift of nature; if we weigh its importance, it cannot be less dear to us; if we consider "the declaration of those rights which pertain to the good people of Virginia as the basis and foundation of government,” it is enumerated with equal solemnity, or rather studied emphasis.
James Madison
In ancient times there was no public education, except that of the forum, the theater, and the street, and the general degree of illiteracy was very high.... the early men of science were left very much to themselves and such a phrase as "the scientific culture of Alexandria in the third century B. C." does not cover any reality. In a sense, this is still true today; the real pioneers are so far ahead of the crowd (even a very literate crowd) that they remain almost alone...
George Sarton
Geometry is of much assistance in architecture, and in particular it teaches us the use of the rule and compasses, by which especially we acquire readiness in making plans for buildings in their grounds, and rightly apply the square, the level, and the plummet. By means of optics the light in buildings can be drawn from fixed quarters of the sky. Difficult questions involving symmetry are solved by means of geometrical theories and methods.
Vitruvius
Marshes that are stagnant and have no outlets either by rivers or ditches, like the Pomptine marshes, merely putrefy as they stand, emitting heavy, unhealthy vapors. A case of a town built in such a spot was Old Salpia in Apulia ... Year after year there was sickness, until finally the suffering inhabitants came with a public petition to Marcus Hostilius and got him to agree to seek and find them a proper place to which to remove their city.
Vitruvius
Fir: it contains a great deal of air and fire with very little moisture and the earthy, so that, as its natural properties are of the lighter class, it is not heavy. Hence, its consistence being naturally stiff, it does not easily bend under the load, and keeps its straightness when used in the framework. But it contains so much heat that it generates and encourages decay, which spoils it; and it also kindles fire quickly because of the air in its body, which is so open that it takes in fire and so gives out a great flame.
Vitruvius