I NUMBER PHI
 
AS TO MEASURE I NUMBER pi

Level: Interval - Half

I NUMBER GOLDEN

1,618033988749894848204

Secci? n? urea, in matem? is ticas, one proporci? n of geometr? to that a segment in two parts is obtained when dividing so that the quotient between the length of the greater segment and the length of the initial segment is equal to the quotient between the length of the smaller segment and the one of the greater segment.

Does point C create one secci? n? urea in the rectil segment? neon AB S.A. /AB = CB/AC. This proporci? does n have the value num? rich 0.618…, that can be calculated of the following way: S.A. = the 1 and length of AC = x, then AC/AB = CB/AC becomes x/1 = (1 - x) /x. Multiplying both sides of this ecuaci? n by x, is had x2 = 1 - x; and therefore x2 + x - 1 = 0. This ecuaci? can n of second degree be solved using the f? rmula cuadr? tica, that gives x = (- 1 +)/2 = 0,6180339…

Do certain historians affirm that the properties of the sections? did ureas help disc? pulos of matem? tico and fil? sofo Greek Pit? goras to discover the incommensurable straight lines, that they are the equivalent geom? trico of the n? mere irrationals. Nevertheless, which s? it is certain is that from antig? age, many fil? sofos, artists and matem? have ticos been interested in secci? n? urea, that the writers of the Renaissance called proporci? divine n.

Did Leonardo Da Vinci make the illustrations for one disertaci? n published by titled Luca Pacioli in 1509 Of Divine Proportione, quiz? s the more earliest reference in Literature to another one of its names, the one of “Divine Proporci? n”. Does this book contain the drawings done by the five Leonardo da Vinci of s? lidos plat? nicos. It is probable that outside Leonardo who gave the name of sectio for the first time? urea. In 1525, does Alberto Durero publish Instrucci? n on the measurement with rule and comp? s of flat figures and s? does lidas where describe c? mo to draw up with rule and comp? s the spiral based on secci? n? urea, that is known as “spiral of Durero”.

Necessary material

Does a strip of paper, one regulate, a cil object? ndrico, for example, a softdrink can.

M? everything

        • It surrounds the tin with the strip by paper and cuts what you on or you do a brand in the strip.
        • Sit? to the strip on a horizontal surface and it measures his length or until the brand if you decided not to cut the strip.
        • It measures I gave? meter of the tin. You can locate enters it two objects and soon to measure the distance among them.
        • Is the quotient between the two measures the n? mere pi.

          Explicaci? n

          Relaci? n between the length of a circumference of radio r (2pir) and its diameter (2r) is pi

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