https://padlet.com/lhennefarth1/qbrgtgb40e51 What is one fact about Archimedes? en-us 2017-03-28 14:05:39 UTC 2017-03-29 18:27:45 UTC hello@padlet.com ashme673 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513395 Archimedes discovered that the area encircled by a parabola and a straight line is 4/3 times the area of an equivalent inscribed triangle. This was called 'The Quadrature of the Parabola'.]]> 2017-03-29 18:10:17 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513395 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513691 Archimedes calculated pi to the most precise value known, it was still in use in the late 20th century until calculators laid it to rest.]]> 2017-03-29 18:11:02 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513691 wdrew642 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513801 Archimedes found a way to measure volume of irregular objects. This was important in the calculation of their density. The story goes that Archimedes was asked by the ruler of Greece to see if his new crown was properly made. The king wanted to see if the crown that was made for him was all gold or had been mixed with other worthless materials. He found the volume of the crown and discovered that it's density was not what it should have been. He made his discovery in the bathtub, realizing he displace his volume in water. He ran along the streets of Greece naked yelling "Eurika", or "I found it!". It turns out that the goldsmith who made the crown lied to the king, and the king had him beheaded.]]> 2017-03-29 18:11:19 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513801 jgosl828 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513952 Archimedes solved the puzzle of King Hiero's crown which was how he found a way to measure volume of irregular objects]]> 2017-03-29 18:11:45 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513952 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513981 He discovered laws of levers and pulleys.]]> 2017-03-29 18:11:50 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163513981 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514037 Archimedes was born in 287 BC in the Greek city-state of Syracuse on the island of Sicily.]]> 2017-03-29 18:11:59 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514037 hspal805 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514113 The method that Archimedes created can be used for circles, spheres, and cones.

]]> 2017-03-29 18:12:12 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514113 bsosa165 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514129 2017-03-29 18:12:14 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514129 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514215 Archimedes went to school at the Royal Library of Alexandria in Egypt under the guidance of former students of the mathematician Euclid. ]]> 2017-03-29 18:12:30 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514215 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514378 He is considered by most historians of mathematics as one of the greatest mathematicians of all time. He perfected a methods of integration which allowed him to find areas, volumes, surface areas, and centers of mass of many geometrical objects.

]]> 2017-03-29 18:12:59 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514378 gibar533 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514423 Archimedes created a system using exponentiation for expressing very large numbers. ]]> 2017-03-29 18:13:04 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514423 ckapr645 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514434 Invented the sciences behind hydro statics and mechanics]]> 2017-03-29 18:13:06 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514434 jgosl828 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514573 2017-03-29 18:13:33 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514573 pculv811 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514607 2017-03-29 18:13:39 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514607 skerr878 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514635 He found out a way to find the area of an irregular shape by placing an object in a full cup of water and finding out how much water it has displaced]]> 2017-03-29 18:13:44 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514635 ralle617 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514750 Archimedes invented the screw which is still used every day]]> 2017-03-29 18:14:06 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514750 sbeil114 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514754 He drew a regular polygon inscribed within a circle to approximate pi]]> 2017-03-29 18:14:07 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514754 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514846 Archimedes was one of the greatest scientists and mathematicians ever born who made incredible inventions and discoveries.

]]> 2017-03-29 18:14:24 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514846 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514935 Archimedes designed several machines, they include siege engine and the screw pump]]> 2017-03-29 18:14:40 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514935 dwash713 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514945 Some of the machines that he invented were destroy able to destroy enemy ships by lifting them off the water, and using an alignment of mirrors to set them on fire ]]> 2017-03-29 18:14:41 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163514945 gramo110 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515170
Discovered the method to determine the area and volumes of circles, spheres and cones. 

]]> 2017-03-29 18:15:21 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515170 skerr878 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515346 2017-03-29 18:15:52 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515346 hspal805 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515414 Archimedes studied in Egypt]]> 2017-03-29 18:16:06 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515414 skerr878 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515473 2017-03-29 18:16:20 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515473 vgrif216 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515551 He successfully proved that silver was mixed with the gold crown that was made for King Hiero II. He coined the famous word “eureka”, which is almost unanimously used to express great joy upon any new discovery.

Artists’ ideas of Archimedes. We do not know what he really looked like.

]]> 2017-03-29 18:16:36 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515551 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515605 Some of his machines were able to destroy enemy ships by lifting them from the water.]]> 2017-03-29 18:16:45 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515605 ashme673 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515740 His friend wrote a biography about him and his work, but it was destroyed and lost.]]> 2017-03-29 18:17:07 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515740 amarc741 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515798 Discovered the principle of buoyancy.]]> 2017-03-29 18:17:17 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515798 jtrun237 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515836 Some of his achievements were deriving an accurate estimate of Pi, and investigating the spiral bearing his name. ]]> 2017-03-29 18:17:23 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515836 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515979 2017-03-29 18:17:47 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163515979 tfitz817 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516021 Archimedes system for expressing multiple-digit numbers was considered very impressive for his day]]> 2017-03-29 18:17:54 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516021 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516139

Archimedes's approximation of the area of a circle

]]> 2017-03-29 18:18:15 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516139 wdrew642 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516302 Archimedes discovered that people and objects have a center of mass.]]> 2017-03-29 18:18:47 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516302 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516379 Archimedes produced formulas to calculate the areas of regular shapes, using a revolutionary method of capturing new shapes by using shapes he already understood. For example, to estimate the area of a circle, he constructed a larger polygon outside the circle and a smaller one inside it. He first enclosed the circle in a triangle, then in a square, pentagon, hexagon, etc, etc, each time approximating the area of the circle more closely. By this so-called “method of exhaustion” (or simply “Archimedes’ Method”), he effectively homed in on a value for one of the most important numbers in all of mathematics, π. His estimate was between 3¹⁄₇ (approximately 3.1429) and 3¹⁰⁄₇₁ (approximately 3.1408), which compares well with its actual value of approximately 3.1416.

]]> 2017-03-29 18:18:58 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516379 ddeco012 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516513 The last words attributed to Archimedes are "Do not disturb my circles".

]]> 2017-03-29 18:19:24 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516513 jsoto418 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516770 The principal results in "on the sphere and cylinder" are that the surface area of any sphere of radius r is four times that of its greatest circlw]]> 2017-03-29 18:20:13 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516770 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516877 Archimedes’ most sophisticated use of the method of exhaustion, which remained unsurpassed until the development of integral calculus in the 17th Century, was his proof - known as the Quadrature of the Parabola - that the area of a parabolic segment is ⁴⁄₃that of a certain inscribed triangle. He dissected the area of a parabolic segment (the region enclosed by a parabola and a line) into infinitely many triangles whose areas form a geometric progression. He then computed the sum of the resulting geometric series, and proved that this is the area of the parabolic segment.

]]> 2017-03-29 18:20:29 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163516877 wdrew642 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163517015 Archimedes used exponents to write very large numbers.]]> 2017-03-29 18:20:54 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163517015 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163517390 he discovery of which Archimedes claimed to be most proud was that of the relationship between a sphere and a circumscribing cylinder of the same height and diameter. He calculated the volume of a sphere as ⁴⁄₃πr³, and that of a cylinder of the same height and diameter as 2πr³. The surface area was 4πr² for the sphere, and 6πr² for the cylinder (including its two bases). Therefore, it turns out that the sphere has a volume equal to two-thirds that of the cylinder, and a surface area also equal to two-thirds that of the cylinder. Archimedes was so pleased with this result that a sculpted sphere and cylinder were supposed to have been placed on his tomb of at his request.]]> 2017-03-29 18:21:57 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163517390 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163517664 Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the center of mass of the displaced fluid.]]> 2017-03-29 18:22:38 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163517664 jsoto418 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163517994 The principal results in "On the Sphere and Cylinder" are that the surface area of any sphere of radius r is four times that of its greatest circle]]> 2017-03-29 18:23:42 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163517994 hspal805 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518490 Archimedes was Italian
Also: Carbs, like pasta and breads, are nice fuel for brain funtion]]> 2017-03-29 18:25:10 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518490 jsoto418 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518519 2017-03-29 18:25:15 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518519 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518520 Archimedes is known as one of the three greatest mathematicians of all time, along with Newton and Gauss. He was known by many as "the wise one." Others referred to him as "the master." However, he was most well known as "the great geometer."]]> 2017-03-29 18:25:15 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518520 lgonz958 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518650 Archimedes was the first to find the volume of a sphere]]> 2017-03-29 18:25:43 UTC https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518650 nkesh127 https://padlet.com/lhennefarth1/qbrgtgb40e51/wish/163518755

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