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A biography by Galileo's pupil Vinc

A biography by Galileo's pupil Vincenzo
Viviani stated that Galileo had dropped balls
of the same material, but different masses ,
from the Leaning Tower of Pisa to
demonstrate that their time of descent was
independent of their mass.[126] This was
contrary to what Aristotle had taught: that
heavy objects fall faster than lighter ones, in
direct proportion to weight. [127] While this
story has been retold in popular accounts,
there is no account by Galileo himself of such
an experiment, and it is generally accepted
by historians that it was at most a thought
experiment which did not actually take place.
[128] An exception is Drake, [129] who argues
that the experiment did take place, more or
less as Viviani described it. The experiment
described was actually performed by Simon
Stevin (commonly known as Stevinus), [23]
although the building used was actually the
church tower in Delft in 1586. [130] However
most of his experiments with falling bodies
were carried out using inclined planes where
both the issues of timing and wind resistance
were much reduced.
In his 1638 Discorsi , Galileo's character
Salviati, widely regarded as Galileo's
spokesman, held that all unequal weights
would fall with the same finite speed in a
vacuum. But this had previously been
proposed by Lucretius[131] and Simon Stevin.
[132] Cristiano Banti 's Salviati also held it
could be experimentally demonstrated by the
comparison of pendulum motions in air with
bobs of lead and of cork which had different
weight but which were otherwise similar.
Galileo proposed that a falling body would fall
with a uniform acceleration, as long as the
resistance of the medium through which it
was falling remained negligible, or in the
limiting case of its falling through a vacuum.
[133] He also derived the correct kinematical
law for the distance travelled during a uniform
acceleration starting from rest—namely, that it
is proportional to the square of the elapsed
time ( d ∝ t 2 ). [134] Prior to Galileo, Nicole
Oresme , in the 14th century, had derived the
times-squared law for uniformly accelerated
change, [135] and Domingo de Soto had
suggested in the 16th century that bodies
falling through a homogeneous medium would
be uniformly accelerated. [136] Galileo
expressed the time-squared law using
geometrical constructions and mathematically
precise words, adhering to the standards of
the day. (It remained for others to re-express
the law in algebraic terms).
He also concluded that objects retain their
velocity unless a force —often friction—acts
upon them, refuting the generally accepted
Aristotelian hypothesis that objects "naturally"
slow down and stop unless a force acts upon
them. Philosophical ideas relating to inertia
had been proposed by John Philoponus
centuries earlier, as had Jean Buridan , and
according to Joseph Needham , Mo Tzu had
proposed it centuries before either of them;
nevertheless, Galileo was the first to express
it mathematically, verify it experimentally, and
introduce the idea of frictional force , the key
breakthrough in validating the concept.
Galileo's Principle of Inertia stated: "A body
moving on a level surface will continue in the
same direction at constant speed unless
disturbed." This principle was incorporated
into Newton's laws of motion (first law).
Dome of the Cathedral of Pisa with
the "lamp of Galileo"
See also: Equations for a falling body
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Biografi oleh Galileo murid VincenzoViviani menyatakan bahwa Galileo telah menjatuhkan boladari bahan yang sama, tetapi berbeda massa,dari Menara Miring Pisa untukmenunjukkan bahwa waktu mereka keturunanindependen massa mereka.[126] ini adalahbertentangan dengan apa yang telah diajarkan Aristoteles: yangbenda berat jatuh lebih cepat daripada yang lebih ringan,proporsi langsung untuk berat badan. [127] sementara inicerita telah diceritakan dalam populer account,ada tidak ada account oleh Galileo dirinya sepertipercobaan, dan itu umumnya diterimaoleh sejarawan itu adalah paling pikiranpercobaan yang tidak benar-benar mengambil tempat.[128] pengecualian adalah Drake, [129] yang berpendapatitu percobaan mengambil tempat, lebih ataukurang sebagai Viviani menggambarkannya. Percobaandijelaskan sebenarnya dilakukan oleh SimonStevin (umumnya dikenal sebagai Stevinus), [23]Meskipun bangunan yang digunakan adalah benar-benarmenara gereja di Delft tahun 1586. [130] Namunsebagian besar percobaan dengan tubuh yang jatuhdilakukan dengan menggunakan pesawat miring manaKedua isu-isu ketahanan waktu dan anginjauh berkurang.Dalam nya Discorsi 1638, Galileo karakterSalviati, secara luas dianggap sebagai Galileojuru bicara, berpendapat bahawa semua tidak seimbang bebanakan jatuh dengan kecepatan terbatas yang sama divakum. Tapi ini sebelumnya telahdiusulkan oleh Lucretius [131] dan Simon Stevin.[132] Cristiano Banti Salviati juga diadakanbisa eksperimental ditunjukkan olehperbandingan pendulum gerakan di udara denganBOBs memimpin dan gabus yang berbedaberat badan tetapi yang lain adalah serupa.Galileo mengusulkan bahwa tubuh yang jatuh akan jatuhdengan percepatan seragam, asalkanperlawanan media melalui yangjatuh tetap diabaikan, atau dalammembatasi kasus jatuh melalui vakum.[108] Dia juga berasal yang benar kinematicalundang-undang untuk jarak bepergian di seragampercepatan mulai dari sisa — yaitu, bahwa hal itusebanding dengan alun-alun elapsedwaktu (d ∝ t 2). [134] sebelum Galileo, NicoleOresme, di abad ke-14, telah berasalHukum kuadrat kali untuk seragam dipercepatmengubah, [135] dan Domingo de Sotodisarankan dalam abad ke-16 yang tubuhjatuh melalui media homogen akanseragam dipercepat. Galileo [136]diekspresikan menggunakan waktu-squared hukumkonstruksi geometris dan matematiskata-kata yang tepat, mematuhi standarhari. (Itu tetap bagi orang lain untuk kembali Checkhukum dalam istilah-istilah aljabar).Ia juga menyimpulkan bahwa objek mempertahankan merekakecepatan kecuali kekuatan — sering gesekan — kisahmereka menyangkal yang umumnya diterimaAristotelian hipotesis bahwa objek "alami"memperlambat dan menghentikan kecuali suatu kekuatan bertindak atasmereka. Ide-ide filosofis yang berkaitan dengan inersiatelah diusulkan oleh John Philoponusberabad-abad sebelumnya, sebagai telah Jean Buridan, danMenurut Joseph Needham, Mo Tzu memilikidiusulkan berabad-abad sebelum salah satu dari mereka;Namun demikian, Galileo adalah yang pertama untuk mengekspresikanitu secara matematis, memverifikasi itu eksperimental, danmemperkenalkan gagasan tentang kekuatan gesekan, kunciterobosan dalam memvalidasi konsep.Galileo prinsip inersia menyatakan: "tubuhbergerak pada permukaan yang akan terus dalamarah yang sama pada kecepatan konstan kecualiterganggu." Prinsip ini didirikanmenjadi hukum Newton gerak (pertama hukum).Kubah Katedral Pisa dengan"lampu Galileo"Lihat juga: persamaan untuk tubuh jatuh
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A biography by Galileo's pupil Vincenzo
Viviani stated that Galileo had dropped balls
of the same material, but different masses ,
from the Leaning Tower of Pisa to
demonstrate that their time of descent was
independent of their mass.[126] This was
contrary to what Aristotle had taught: that
heavy objects fall faster than lighter ones, in
direct proportion to weight. [127] While this
story has been retold in popular accounts,
there is no account by Galileo himself of such
an experiment, and it is generally accepted
by historians that it was at most a thought
experiment which did not actually take place.
[128] An exception is Drake, [129] who argues
that the experiment did take place, more or
less as Viviani described it. The experiment
described was actually performed by Simon
Stevin (commonly known as Stevinus), [23]
although the building used was actually the
church tower in Delft in 1586. [130] However
most of his experiments with falling bodies
were carried out using inclined planes where
both the issues of timing and wind resistance
were much reduced.
In his 1638 Discorsi , Galileo's character
Salviati, widely regarded as Galileo's
spokesman, held that all unequal weights
would fall with the same finite speed in a
vacuum. But this had previously been
proposed by Lucretius[131] and Simon Stevin.
[132] Cristiano Banti 's Salviati also held it
could be experimentally demonstrated by the
comparison of pendulum motions in air with
bobs of lead and of cork which had different
weight but which were otherwise similar.
Galileo proposed that a falling body would fall
with a uniform acceleration, as long as the
resistance of the medium through which it
was falling remained negligible, or in the
limiting case of its falling through a vacuum.
[133] He also derived the correct kinematical
law for the distance travelled during a uniform
acceleration starting from rest—namely, that it
is proportional to the square of the elapsed
time ( d ∝ t 2 ). [134] Prior to Galileo, Nicole
Oresme , in the 14th century, had derived the
times-squared law for uniformly accelerated
change, [135] and Domingo de Soto had
suggested in the 16th century that bodies
falling through a homogeneous medium would
be uniformly accelerated. [136] Galileo
expressed the time-squared law using
geometrical constructions and mathematically
precise words, adhering to the standards of
the day. (It remained for others to re-express
the law in algebraic terms).
He also concluded that objects retain their
velocity unless a force —often friction—acts
upon them, refuting the generally accepted
Aristotelian hypothesis that objects "naturally"
slow down and stop unless a force acts upon
them. Philosophical ideas relating to inertia
had been proposed by John Philoponus
centuries earlier, as had Jean Buridan , and
according to Joseph Needham , Mo Tzu had
proposed it centuries before either of them;
nevertheless, Galileo was the first to express
it mathematically, verify it experimentally, and
introduce the idea of frictional force , the key
breakthrough in validating the concept.
Galileo's Principle of Inertia stated: "A body
moving on a level surface will continue in the
same direction at constant speed unless
disturbed." This principle was incorporated
into Newton's laws of motion (first law).
Dome of the Cathedral of Pisa with
the "lamp of Galileo"
See also: Equations for a falling body
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