what is the first period in greek mathematics

– Alexandrian School flourished in Grecian Egypt and extended its influence to Sicily and Palestine

What was the original name of Ptolemy's astronomical manual "The Almagest," and how did it come to be known by its Arabic name?

The Mathematical Arrangement; it was adopted due to its Arabic translation

The Astronomical Compilation; it was named by Ptolemy's students

The Celestial Guide; it was titled by European astronomers

The Greatest; it was a title given by Ptolemy himself

What was the primary purpose of Books 7 and 8 in "The Almagest" by Ptolemy?

To provide information about fixed stars and their coordinates

To describe the construction of astronomical instruments

To explore the motions of the moon

To outline the theory of solar and lunar eclipses

Which significant achievement is attributed to Ptolemy in "The Almagest" regarding the planetary motions?

Combined epicycle and eccentric methods to model planetary motions

Introduction of the heliocentric model

Formulation of the laws of planetary motion

Use of advanced mathematics to predict the orbits of planets

all are Heron of Alexandria's notable inventions except one.

ater operated device to open and close temple doors

Heron's formula for finding the area of a triangle includes:

The semi-perimeter and side lengths

How does spherical geometry differ from Euclidean geometry?

The theorems are false in spherical geometry

Both have similar theorems and results

Results in Euclidean geometry are false

Heron of Alexandria developed a method for finding the square root of any number. What was this method called?

Iteration Formula for Square Roots

What did Euclid define in Book VII of his Elements?

Number as a multitude composed of units

What characterizes a perfect number?

Equal to the sum of its own parts

Has only two factors: 1 and itself

Can be divided into three equal parts

Is an odd number that is a multiple of 3

What is the quote associated with Archimedes related to levers and moving the world?

"Give me a lever long enough and a place to stand, and I can move the Earth."

"With the right lever, I can move anything."

"The lever is the key to the world's movement."

"Give me a lever, and I can change the world."

HOM MIDTERM

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it only uses 2 numeral symbols

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were based on seven symbols that can be arrange to represent any positive numbers.

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HOM MIDTERM

represented by a coil of rope.

Discovered in 1960 by Belgian archaeologist Jean de Heinzelin de Braucourt while exploring the Belgian Congo. It was discovered in the Ishango area near the Semliki River

it only uses 2 numeral symbols

10000?

10?

1000?

were based on seven symbols that can be arrange to represent any positive numbers.

number system is our system that we used today

the inherent value of the symbol.

the power of the base which is associated with the position that the digit occupies in the numeral

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