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introduction.html
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<!Doctype html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>Introduction</title>
</head>
<style>
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margin: 10px;
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<body>
<header>
<h1>Golden Ratio!!</h1>
<h2>Introduction</h2>
</header>
<h3>What Is Golden Ratio?</h3>
<div class="par1">
<p>
Putting it as simply as we can (eek!), the Golden Ratio (also known as the Golden Section, Golden Mean, Divine Proportion or Greek letter Phi) exists when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618.
</p>
</div>
<div class="ex1">
<img src="https://static-cse.canva.com/blob/136796/The-Golden-Ratio-Graphic-01.8c404be4.jpg" alt="Formula for Golden Ratio.">
</div>
<div class="par2">
<p>But don’t let all the math get you down. In design, the Golden Ratio boils down to aesthetics— creating and appreciating a sense of beauty through harmony and proportion. When applied to design, the Golden Ratio provides a sense of artistry; an X-factor; a certain je ne sais quoi.</p>
<p>The Golden Ratio can be applied to shapes too. Take a square and multiply one side of by 1.618 and you get a rectangle of harmonious proportions:</p>
<div class="ex2">
<img src="https://static-cse.canva.com/blob/136798/The-Golden-Ratio-Graphic-02.aaffffc6.jpg" alt="The rectangle of harmonious proportions.">
</div>
<p>If you keep applying the Golden Ratio formula to the new rectangle on the far right of the image above, you will eventually get this diagram with progressively smaller squares:</p>
</div>
<a href="#"div class="theme-btn">Next ></a>
</body
</html>
/*<!Doctype html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>History</title>
</head>
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<body>
<header>
<h1>Golden Ratio!!</h1>
<h2>History</h2>
</header>
<div class="acc">
<p> According to Mario Livio,<p>
</div>
<div class="par1">
<p>Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties.... Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics.
</p>
</div>
<div class="by">
<p> — The Golden Ratio: The Story of Phi, the World's Most Astonishing Number</p></div>
<div class="par2">
<p>Ancient Greek mathematicians first studied what we now call the golden ratio, because of its frequent appearance in geometry; the division of a line into "extreme and mean ratio" (the golden section) is important in the geometry of regular pentagrams and pentagons.According to one story, 5th-century BC mathematician Hippasus discovered that the golden ratio was neither a whole number nor a fraction (an irrational number), surprising Pythagoreans. Euclid's Elements (c. 300 BC) provides several propositions and their proofs employing the golden ratio, and contains its first known definition which proceeds as follows:</p>
</div>
<div class="def">
<p>A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser.</p>
</div>
<div class="par2">
<p>The golden ratio was studied peripherally over the next millennium. Abu Kamil (c. 850–930) employed it in his geometric calculations of pentagons and decagons; his writings influenced that of Fibonacci (Leonardo of Pisa) (c. 1170–1250), who used the ratio in related geometry problems, though never connected it to the series of numbers named after him.</p>
<p>Luca Pacioli named his book Divina proportione (1509) after the ratio, and explored its properties including its appearance in some of the Platonic solids. Leonardo da Vinci, who illustrated the aforementioned book, called the ratio the sectio aurea ('golden section'). 16th-century mathematicians such as Rafael Bombelli solved geometric problems using the ratio.</p>
<img src="https://upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Michael_Maestlin.jpg/255px-Michael_Maestlin.jpg" alt="Michael Maestlin" class="img">
<p>German mathematician Simon Jacob (d. 1564) noted that consecutive Fibonacci numbers converge to the golden ratio; this was rediscovered by Johannes Kepler in 1608. The first known decimal approximation of the (inverse) golden ratio was stated as "about 0.6180340" in 1597 by Michael Maestlin of the University of Tübingen in a letter to Kepler, his former student. The same year, Kepler wrote to Maestlin of the Kepler triangle, which combines the golden ratio with the Pythagorean theorem. Kepler said of these:</p>
<div class="def1">
<p>Geometry has two great treasures: one is the theorem of Pythagoras, the other the division of a line into extreme and mean ratio. The first we may compare to a mass of gold, the second we may call a precious jewel.</p>
</div>
</div>
<div class="par3">
<p>18th-century mathematicians Abraham de Moivre, Daniel Bernoulli, and Leonhard Euler used a golden ratio-based formula which finds the value of a Fibonacci number based on its placement in the sequence; in 1843, this was rediscovered by Jacques Philippe Marie Binet, for whom it was named "Binet's formula". Martin Ohm first used the German term goldener Schnitt ('golden section') to describe the ratio in 1835. James Sully used the equivalent English term in 1875.
</p>
</div>
<a href="https://samdid.github.io/apss/"div class="theme-btn">Next ></a>
</body>
</html>
*/