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Was Euclid the one who constructed the golden rectangle?

Updated: 8/17/2019
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Euclid was the one to construct the golden rectangle

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Q: Was Euclid the one who constructed the golden rectangle?
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In a golden rectangle if the top and bottom lines of the rectangle are each 3 and one half inches how long would the side lines of the rectangle be?

To make it a golden rectangle the sides should be in 1:0.618 ratio. Lets say your width is made of a + b. a and b are in golden ratio. THis gives a + b = 3.5 <---- equ 1 b = .618 a (because they are in golden ratio) substitute to equ 1 1.618a = 3.5 a = 3.5/1.618 = 2.163 b = 1.336 now you can construct your sides with a = 2.163 to have a golden rectangle


How do get 14 as answer for whole number pairs of side lengths rectangle that forms golden rectangle?

A golden rectangle cannot have both its sides as whole numbers. The ratio of the sides of the rectangle is [1 + sqrt(5)]/2 so if one side is a positive whole number, the other must be an irrational number.


Is there anything in your classroom that's a golden rectangle?

yes but it must be rare to have one in gold gold


What is silvery rectangle?

A silvery rectangle is a one that it's side difference is side of a square equal in area: m*n=(m-n)^2 I do call it silvery since when a square is cut from it, remaining portion is golden rectangle.


What polygon that has at least one right angle?

A right triangle or a rectangle are polygons that have at least one right angle. There are other quadrilaterals and many irregular polygons that could have at lease one right angle, too. Many of them. Note that a polygon is any planar figure constructed of a finite number of line segments to make a closed figure. By that definition, which is a correct one, the triangle and rectangle are polygons. And a quadrilateral (of which the rectangle is special case) can be constructed with just one right angle, though it will be a bit quirky looking. Once we start adding sides to make different polygons, the game is afoot because so many possibilities exist.


Is the value city store in parma Ohio closing?

The one in Euclid Ohio is closing The one in Euclid Ohio is closing


Can you construct Khufu pyramid geometrically based on numbers 1 and 2?

yes draw a right rectangle with sides as 1 and 2. Dived hypotenuse into two add one and a half of size 1 you will have golden proportion factor line(square root of 5 plus one and a half). Continue adding size 1 to this new parameter and make it diameter of a circle. Extract perpendicularly a line from the point you have added 1. Cross point to circle is square root of golden proportion(squaring a rectangle). This newly constructed line is the base of pyramid. Divide this into half and extract perpendicular line from midway as much as half of golden proportion factor line you gained previously. Draw the hypotenuse of this right rectangle which at the same time is height of isosceles triangles surrounding base.


How do you make a rectangle with the lengths 1 4 7 8 9 10 14 15 18?

A rectangle is constructed with four sides, one pair each of two lengths. You've listed nine different lengths in the question. I can't tell what type of monstrosity you have in mind, but I'm sure that it's no rectangle.


Why do people visit the the golden gate bridge?

The Golden Gate Bridge, which connects San Francisco to Marin County, is considered one of the most beautiful bridges in the world. It is one of the most recognizable symbols of California and the US in the world. When it was constructed in 1937 it was the longest suspension bridge in the world.


Who was one of Greece's greatest philosophers?

euclid,


What anecdotes were there about Euclid?

Euclid, Pythagoras and a nun walk into a bar... No, I can't tell that one. How about Proclus telling a story that, when Ptolemy I asked if there was a shorter path to learning geometry than Euclid's Elements, "Euclid replied, 'There is no royal road to geometry.'"


What is one third of a rectangle?

If you split a rectangle into three parts one of those halves is a third of a rectangle.