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Let the circle on AF as diameter cut OB in K, and let the circle whose centre is E and radius EK cut OA in N 3 and N 5; then if ordinates N 3 P 3, N 5 P 5 are drawn to the circle, the arcs AP 3, AP 5 will be 3/17 and 5/17 of the circumference." The point N 3 is very close to the center point of Thales' theorem over AF.
17 is a Leyland number [3] and Leyland prime, [4] using 2 & 3 (2 3 + 3 2) and using 4 and 5, [5] [6] using 3 & 4 (3 4 - 4 3). 17 is a Fermat prime. 17 is one of six lucky numbers of Euler. [7] Since seventeen is a Fermat prime, regular heptadecagons can be constructed with a compass and unmarked ruler. This was proven by Carl Friedrich Gauss ...
Clock angle problems relate two different measurements: angles and time. The angle is typically measured in degrees from the mark of number 12 clockwise. The time is usually based on a 12-hour clock. A method to solve such problems is to consider the rate of change of the angle in degrees per minute.
The 4th parallel north is a circle of latitude that is 4 degrees north of the Earth's equatorial plane. It crosses the Atlantic Ocean , Africa , the Indian Ocean , Southeast Asia , the Pacific Ocean , and South America .
The 17th parallel north is a circle of latitude that is 17 degrees north of the Earth's equatorial plane. It crosses Africa, Asia, the Indian Ocean, the Pacific Ocean, Central America, the Caribbean, and the Atlantic Ocean. The parallel is particularly significant in the history of Vietnam (see below).
New Mersenne conjecture: for any odd natural number, if any two of the three conditions = or =, is prime, and (+) / is prime are true, then the third condition is also true. Polignac's conjecture : for all positive even numbers n {\displaystyle n} , there are infinitely many prime gaps of size n {\displaystyle n} .
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32-point compass rose. The points of the compass are a set of horizontal, radially arrayed compass directions (or azimuths) used in navigation and cartography.A compass rose is primarily composed of four cardinal directions—north, east, south, and west—each separated by 90 degrees, and secondarily divided by four ordinal (intercardinal) directions—northeast, southeast, southwest, and ...