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Truth on Trial: Galileo Galilei
Examines the life and ideas of Galileo Galilei and how his discoveries were seen as a problem by the Church. -- 1,900 words;

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The Mathematical Contributions of Galileo
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GALILEO GALILEI

Galileo Galilei was born at Pisa on the 18th of February in 1564. His father, 
Vincenzo Galilei, belonged to a noble family and had gained some distinction as a 
musician and a mathematician. At an early age, Galileo manifested his ability to learn 
both mathematical and mechanical types of things, but his parents, wishing to turn him 
aside from studies which promised no substantial return, steered him toward some sort of
medical profession. But this had no effect on Galileo. During his youth he was allowed to

follow the path that he wished to. 
Although in the popular mind Galileo is remembered chiefly as an astronomer, 
however, the science of mechanics and dynamics pretty much owe their existence to his 
findings. Before he was twenty, observation of the oscillations of a swinging lamp in the

cathedral of Pisa led him to the discovery of the isochronism of the pendulum, which 
theory he utilized fifty years later in the construction of an astronomical clock. In
1588,
an 
essay on the center of gravity in solids obtained for him the title of the Archimedes of
his 
time, and secured him a teaching spot in the University of Pisa. During the years 
immediately following, taking advantage of the celebrated leaning tower, he laid the 
foundation experimentally of the theory of falling bodies and demonstrated the falsity of

the peripatetic maxim, which is that an objects rate of descent is proportional to its
weight. 
When he challenged this it made all of the followers of Aristotle extremely angry, they 
would not except the fact that their leader could have been wrong. Galileo, in result of

this and other troubles, found it prudent to quit Pisa and move to Florence, the original

home of his family. In Florence he was nominated by the Venetian Senate in 1592 to the 
chair of mathematics in the University of Padua, which he occupied for eighteen years, 
with ever-increasing fame. After that he was appointed philosopher and mathematician to
the Grand Duke of Tuscany. During the whole of this period, and to the close of his life,

his investigation of Nature, in all her fields, was never stopped. Following up his 
experiments at Pisa with others upon inclined planes, Galileo established the laws of
falling 
bodies as they are still formulated. He likewise demonstrated the laws of projectiles,
and 
largely anticipated the laws of motion as finally established by Newton. In statics, he
gave
the first direct and satisfactory demonstration of the laws of equilibrium and the
principle 
of virtual velocities. In hydrostatics, he set forth the true principle of flotation. He
invented
a thermometer, though a defective one, but he did not, as is sometimes claimed for him, 
invent the microscope. 
Though, as has been said, it is by his astronomical discoveries that he is most 
widely remembered, it is not these that constitute his most substantial title to fame. In
this 
connection, his greatest achievement was undoubtedly his virtual invention of the 
telescope. Hearing early in 1609 that a Dutch optician, named Lippershey, had produced
an instrument by which the apparent size of remote objects was magnified, Galileo at
once 
realized the principle by which such a result could alone be attained, and, after a
single 
night devoted to consideration of the laws of refraction, he succeeded in constructing a

telescope which magnified three times, its magnifying power being soon increased to 
thirty-two. This instrument being provided and turned towards the heavens, the 
discoveries, which have made Galileo famous, were bound at once to follow, though 
undoubtedly he was quick to grasp their full significance. The moon was shown not to
be, 
as the old astronomy taught, a smooth and perfect sphere, of different nature to the
earth,
but to possess hills and valleys and other features resembling those of our own globe. 
The planet Jupiter was found to have satellites, thus displaying a solar system in
miniature, 
and supporting the doctrine of Copernicus. It had been argued against the said system 
that, if it were true, the inferior planets, Venus and Mercury, between the earth and the

sun, should in the course of their revolution exhibit phases like those of the moon, and,

these being invisible to the naked eye, Copernicus had to change the false explanation
that 
these planets were transparent and the sun's rays passed through them. But with his 
telescope Galileo found that Venus did actually exhibit the desired phases, and the 
objection was thus turned into an argument for Copernicanism. 
Galileo was tried by the Inquisition for his writings discussing the Ptolemaic and 
Copernican systems. In June 1633, Galileo was condemned to life imprisonment for 
heresy. His writings about these subjects were banned, and printers were forbidden to 
publish anything further by him or even to reprint his previous works. Outside Italy, 
however, his writings were translated into Latin and were read by scholars throughout 
Europe. 
Galileo remained under imprisonment until his death in 1642. However he never 
was a real prisoner for he never spent any time in a prison cell or being treated like a

criminal. Instead he spent his time in fancy apartments. The rest of the time he was 
allowed to use houses of friends as his places of confinement the, always comfortable
and 
usually luxurious. 
Outline 
Galileo Galilei 
I. Early Life 
A. Born in 1564 at Pisa 
B. Parents want him to be a doctor 
C. Eventually allowed to follow his own path 
II. Accomplishments other than in the field of astronomy 
A. Isochronism of the pendulum 
1. later led to astronomical clock 
B. Center of Gravity in Solids 
C. Teacher at University of Pisa 
D. Theory of Falling Bodies 
E. Nominated to the chair of mathematics in the University of Padua 
F. Laws of Projectiles 
G. Laws of Equilibrium / Principle of Virtual Velocities 
H. Thermometer 
III. Astronomical Discoveries 
A. Designed highest powered telescopes of the time. 
B. The moon 
1. Not a perfect and smooth sphere 
C. Jupiter 
1. Four moons of Jupiter 
D. Venus and Mercury 
1. Not transparent 
2. Had phases 
IV. Later Life 
A. Tried by the Inquisition 
1. For writings 
2. Charged with Heresy 
B. Sentenced to house arrest 
1. lived in luxury 
2. never in a prison cell 
C. Writings Prohibited 
D. Died in 1642 
Bibliography 
1. Drake, S. ,Galileo at Work: His Scientific Biography. Greensborough Press, 1995. 
2. Finnochiara, Maurice A. ,The Galileo Affair. The University of California Press,
1989.
3. Redondi, P. ,Galileo Heretic. Princeton, N.J.: Princeton University Press, 1987. 
4. Reston, J. Jr. ,Galileo: A Life. HarperCollins Publishing, 1994. 
5. Segre, M. ,In the Wake of Galileo. New Brunswick Co., 1992. 
6. Sharratt, M. ,Galileo: Decisive Innovator., Sanford Publishing 1994 

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