Whoever despises the high wisdom of mathematics nourishes himself on delusion and will never still the sophistic sciences whose only product is an eternal uproar.
Happy will be those who give ear to the words of the dead: - The reading of good works and the observing of their precepts.
He who wishes to see how the soul inhabits the body should look to see how that body uses its daily surroundings. If the dwelling is dirty and neglected, the body will be kept by its soul in the same condition, dirty and neglected.
Perspective is a most subtle discovery in mathematical studies, for by means of lines it causes to appear distant that which is near, and large that which is small.
The organ of perception acts more readily than judgment.
Our body is dependent on heaven and heaven on the Spirit.
The divisions of Perspective are 3, as used in drawing; of these, the first includes the diminution in size of opaque objects; the second treats of the diminution and loss of outline in such opaque objects; the third, of the diminution and loss of colour at long distances.
I think it is no small attraction in a painter to be able to give a pleasing air to his figures, and whoever is not naturally possessed of this grace may acquire it by study, as opportunity offers in the following manner: be on the watch to take good parts of many beautiful faces of which the beautiful parts are established by general repute rather than by your own judgement, for you may deceive yourself by selecting faces that resemble your own, since it often seems that such similarities please us; ... so therefore choose the beautiful ones as I tell you and fix them in your mind.
Mechanics is the paradise of the mathematical sciences because by means of it one comes to the fruits of mathematics.
You will never have a greater or lesser dominion than that over yourself.
All objects transmit their image to the eye in pyramids and the nearer to the eye these pyramids are intersected the smaller will the image appear of the objects which cause them.
Science is the observation of things possible, whether present or past; prescience is the knowledge of things which may come to pass, though but slowly.
In an atmosphere of uniform density the most distant things seen through it, such as the mountains, in consequence of the great quantity of atmosphere which is between your eye and them, will appear blue. Therefore you should make the building... wall which is more distant less defined and bluer... five times as far away, make five times as blue.
Of the horse I will say nothing because I know the times.
Anyone who invokes authors in discussion is not using his intelligence but his memory.
Although the poet has as wide a choice of subjects as the painter, his creations fail to afford as much satisfaction to mankind as do paintings... if the poet serves the understanding by way of the ear, the painter does so by the eye, which is the nobler sense.
Men standing in opposite hemispheres will converse and deride each other and embrace each other, and understand each other's language.
Nature varies the seed according to the variety of the things she desires to produce in the world.
There are three aspects to perspective. The first has to do with how the size of objects seems to diminish according to distance: the second, the manner in which colors change the farther away they are from the eye; the third defines how objects ought to be finished less carefully the farther away they are.
When you look at a wall spotted with stains...you may discover a resemblance to various landscapes, beautiful with mountains, rivers, rocks, trees. Or again, you may see battles and figures in action, or strange faces and costumes, and an endless variety of objects which you could reduce to complete and well-drawn figures.
Necessity is the mistress and guide of nature.
Movement will fail sooner than usefulness.
Given the cause nature produces the effect in the briefest manner that it can employ.
A natural action is accomplished in the briefest manner.
We, by our arts may be called the grandsons of God.
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