Arrive Quotes - page 14
Well! according to the sketch your picture [which Whistler sent him in a letter] seems well-composed, the lines of sky, sea, the position of the figures all that seems very, very well done[, ] on opening the letter it struck me immediately, an impression of decorative ornamentation which makes a good picture appeal to the eye as well - upside down and any other way up. Arrangement, layout, composition. etc - mysterious words harmonious laws - in no way conventional - needs of the Artist glory of the Raphael's Michelangelo's etc etc - for me a repetition a hesitation, a matter of feeling - which should also be a law, a mathematical thing, like form, like light, colour[. ] I find similarities with the colour method which works by opposing colours to arrive at a harmony that is to say to make a canvas a complete whole, to put into a small space an image with all the forces all the principles of nature - [instead of showing a part of it]..
Henri Fantin-Latour
The method of exhaustion was not discovered all at once; we find traces of gropings after such a method before it was actually evolved. It was perhaps Antiphon. the sophist, of Athens, a contemporary of Socrates, who took the first step. He inscribed a square (or, according to another account, a triangle) in a circle, then bisected the arcs subtended by the sides, and so inscribed a polygon of double the number of sides; he then repeated the process, and maintained that, by continuing it, we should at last arrive at a polygon with sides so small as to make the polygon coincident with the circle. Thought this was formally incorrect, it nevertheless contained the germ of the method of exhaustion.
Thomas Little Heath