Mrs.+Jones-Buerk


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There were two blondes going to California for the summer, they are about two hours into the flight and the pilot gets on the intercom and says we just lost an engine but it is all right we have three more but it will take us an hour longer.

A half hour later he gets on the intercom again and says we just lost another engine but its all right we have two more it will take us another half hour though.

One of the blondes says, "If we lose the two last engines we will be up here all day"

[|learningplanet] [|mathletics] Mrs. Jones-Buerk pi || . || Why do many people feel that Jessica Simpson is beautiful?
 * The golden ratio...
 * The golden ratio...

This mask of the human face is based on the Golden Ratio. The proportions of the length of the nose, the position of the eyes and the length of the chin, all conform to some aspect of the Golden Ratio.

When placed over the photo of Jessica Simpson, we see there is a good fit (that is, the proportions of her face fit the geometrically "nice" proportions of the mask, based on the Golden Ratio). Her beauty is mathematical!



The Parthenon in Greece. The ratio of the distances indicated is the Golden Ratio.

In [|mathematics] and the [|arts], two quantities are in the **golden ratio** if the [|ratio] between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. The golden ratio is an [|irrational] [|mathematical constant], approximately 1.6180339887.[|[][|1][|]] At least since the [|Renaissance], many [|artists] and [|architects] have proportioned their works to approximate the golden ratio—especially in the form of the [|golden rectangle], in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be [|aesthetically] pleasing. [|Mathematicians] have studied the golden ratio because of its unique and interesting properties. The golden ratio is often denoted by the [|Greek] letter **Φ** ([|phi]). The figure of a **golden section** illustrates the geometric relationship that defines this constant. Expressed algebraically: This equation has as its unique positive solution the [|algebraic] [|irrational number] Other names frequently used for or closely related to the golden ratio are **golden section** (Latin: //sectio aurea//), **golden mean**, **golden number**, and the Greek letter **[|phi]** (Other terms encountered include **extreme and mean ratio**, **medial section**,**divine proportion**, **divine section** (Latin: //sectio divina//), **golden proportion**, **golden cut**,and **mean of [|Phidias]**.[|8Source: [[http://en.wikipedia.org/wiki/Golden_ratio#cite_note-7|wikipedia]]]

media type="youtube" key="wo-6xLUVLTQ" height="344" width="425" || Another form of this proof multiplies 1/9 = 0.111… by 9. ||  ||
 * 0.(9) equals 1??? || One reason that infinite decimals are a necessary extension of finite decimals is to represent fractions. Using [|long division], a simple division of integers like 1⁄3 becomes a recurring decimal, 0.333…, in which the digits repeat without end. This decimal yields a quick proof for 0.999… = 1. Multiplication of 3 times 3 produces 9 in each digit, so 3 × 0.333… equals 0.999…. And 3 × 1⁄3 equals 1, so 0.999… = 1.[|[][|1][|]]