Essay on pythagoras

After these two noble fruits of friendship (peace in the affections, and support of the judgment), followeth the last fruit; which is like the pomegranate, full of many kernels; I mean aid, and bearing a part, in all actions and occasions. Here the best way to represent to life the manifold use of friendship, is to cast and see how many things there are, which a man cannot do himself; and then it will appear, that it was a sparing speech of the ancients, to say, that a friend is another himself; for that a friend is far more than himself. Men have their time, and die many times, in desire of some things which they principally take to heart; the bestowing of a child, the finishing of a work, or the like. If a man have a true friend, he may rest almost secure that the care of those things will continue after him. So that a man hath, as it were, two lives in his desires. A man hath a body, and that body is confined to a place; but where friendship is, all offices of life are as it were granted to him, and his deputy. For he may exercise them by his friend. How many things are there which a man cannot, with any face or comeliness, say or do himself? A man can scarce allege his own merits with modesty, much less extol them; a man cannot sometimes brook to supplicate or beg; and a number of the like. But all these things are graceful, in a friend’s mouth, which are blushing in a man’s own. So again, a man’s person hath many proper relations, which he cannot put off. A man cannot speak to his son but as a father; to his wife but as a husband; to his enemy but upon terms: whereas a friend may speak as the case requires, and not as it sorteth with the person. But to enumerate these things were endless; I have given the rule, where a man cannot fitly play his own part; if he have not a friend, he may quit the stage.

using the trigonometric product-to-sum formulas . This formula is the law of cosines , sometimes called the generalized Pythagorean theorem. [40] From this result, for the case where the radii to the two locations are at right angles, the enclosed angle Δ θ = π /2, and the form corresponding to Pythagoras's theorem is regained: s 2 = r 1 2 + r 2 2 . {\displaystyle s^{2}=r_{1}^{2}+r_{2}^{2}.} The Pythagorean theorem, valid for right triangles, therefore is a special case of the more general law of cosines, valid for arbitrary triangles.

0h30m w/Photoshop , by Paul Ford . It's immediately clear to me now that I'm writing again that I need to come up with some new forms in order to have fun here—so that I can get a rhythm and know what I'm doing. One thing that works for me are time limits; pencils up, pencils down. So: Fridays, write for 30 minutes; edit for 20 minutes max; and go whip up some images if necessary, like the big crappy hand below that's all meaningful and evocative because it's retro and zoomed-in. Post it, and leave it alone. Can I do that every Friday? Yes! Will I? Maybe! But I crave that simple continuity. For today, for absolutely no reason other than that it came unbidden into my brain, the subject will be Photoshop. (Do we have a process? We have a process. It is 11:39 and...) (May 13)

The most important areas of Greek achievement were math and science. They achieved all kinds of things in the areas of psychology, astronomy, geometry, biology, physics, and medicine. In astronomy they formulated the ideas that the sun was 300 times larger than the earth, the universe was composed of atoms, and they calculated the true size of the earth. Someone greatly involved in astronomy was Aristotle. In geometry, ancient Greeks found the value of pi, and a man named Euclid, who wrote the book Elements around 300 ., theorized that if two straight lines cut one another, the vertical, or opposite, angles shall be equal. In physics, the lever and pulley was invented along with a force pump which eventually evolved into a steam engine. Important people in this area were Archimedes and Pythagoras who were two of the many influential Greek citizens. Ancient Greece has definitely made many influential contributions to western civilization.

Finally, it may be worth pointing out at the outset that fixed tunings, including Pythagorean intonation, are more strictly applicable to fixed-pitch instruments such as harps or keyboards than to singers or to other kinds of instruments. It seems safe to assume that medieval performers, like their modern counterparts, may have varied their tuning of intervals considerably, although we cannot be sure quite how. Especially in the case of ensemble music, any tuning on paper is the distillation of a more complex musical reality. Tuning systems, like notations, nevertheless offer us intriguing clues to the musical spirit of an age.

Essay on pythagoras

essay on pythagoras

The most important areas of Greek achievement were math and science. They achieved all kinds of things in the areas of psychology, astronomy, geometry, biology, physics, and medicine. In astronomy they formulated the ideas that the sun was 300 times larger than the earth, the universe was composed of atoms, and they calculated the true size of the earth. Someone greatly involved in astronomy was Aristotle. In geometry, ancient Greeks found the value of pi, and a man named Euclid, who wrote the book Elements around 300 ., theorized that if two straight lines cut one another, the vertical, or opposite, angles shall be equal. In physics, the lever and pulley was invented along with a force pump which eventually evolved into a steam engine. Important people in this area were Archimedes and Pythagoras who were two of the many influential Greek citizens. Ancient Greece has definitely made many influential contributions to western civilization.

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