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MATH10 > Module 6 > Flashcards

Module 6 Flashcards

1
Q

“Geometry” from two greek words geo and metron which mean _____ and _____

A

earth, measurement

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2
Q

How many clay tablets were unearthed containing Babylonian Mathematics?

A

400

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3
Q

What was Babylonian Mathematics written of?

A

Cuneiform script

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4
Q

Who gave us the formulas for finding areas and volumes of some geometric figures like circles and cylinders?

A

The Babylonians

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5
Q

What was Ahmes Papyrus also know of?

A

Rhind Mathematical Papyrus

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6
Q

This value is what we call the golden ratio.

A

1.618

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7
Q

What do in literature call when the rectangles having the ratio of length and its width be golden ratio

A

golden rectangles

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8
Q

First mathematician to calculate the circumference of the earth

A

Eratosthenes

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9
Q

Who gave us the concept that given a right triangle with lenghts of ides a and b; and, length of side opposite the right angle is c, then a² + b² = c²?

A

Pythagoras

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10
Q

Who contributed a handful geometric concepts like the volumes of irregular shapes?

A

Archimedes

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11
Q

He was also known for deriving an accurate approximation of the value π using the meyhod of exhaustion developed by Eudoxus of Cnidus

A

Archimedes

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12
Q

One of the most famous Greek mathematicians

A

Euclid

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13
Q

Things that are equal to the same thing are ____

A

equal

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14
Q

If equals are added to equals, then the ____ are equal

A

whole

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15
Q

if equals are subtracted from equal, then the ____ are equal

A

remainders

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16
Q

things that ____ with one another are equal to one another

A

coincide

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17
Q

The ____ is greater than the part

A

whole

18
Q

a straight line can be drawn from any point to any point

A

Postulate 1

19
Q

A finite straight line can be produced continuously in a straight line

A

Postulate 2

20
Q

A circle may be drawn with any point as center and any distance as radius

A

postulate 3

21
Q

All right angles are equal to one another

A

Postulate 4

22
Q

The 5th postulate is also called

A

Parallel Postulate

23
Q

Two lines are equidistant

A

Posidonius

24
Q

If a line intersects one of two parallel lines, then it intersects the other

A

Proclus

25
Q

The sum of the interior angles of a (Euclidean) triangle is 180

A

Legendre

26
Q

He restated Euclid’s 5th Postulate as “Through a point P not on line l, there exists exactly one line passing through point P parallel to l”

A

Playfair

27
Q

Two Euclidean triangles are congruent if only if they the

A

same size and shape

28
Q

Two triangles are similar if they have the same

A

shape but can be different sizes

29
Q

a model for this hyperbolic geometry can be seen by considering not the usual plane, but a ____

A

circular disk

30
Q

Who were the main contributors of Hyperbolic Geometry?

A

Nikolai Ivanovich Loba Chevsky
Janos Bolyai
Johann Carl Friedrich Gauss

31
Q

what is the point of hyperbolic?

A

usual points inside the disk (but not lying on the boundary)

32
Q

The sum of the angles of a triangle is less than 180°

A

Hyperbolic

33
Q

The sum of the interior angles of a triangle is more than 180°

A

Elliptic

34
Q

Known as the father of projective geometry

A

Gerard Desargues

35
Q

Gerard considered the concept of parallel lines intersecting in a plane and called this the

A

ideal point

36
Q

The point of intersection is called the

A

center of perspectivity

37
Q

A coffee cup and a muffin

A

NOT topologically equivalent

38
Q

Coffee cup and donut

A

Topologically equivalent

39
Q

All congruent trianges are similar. This is true in what type of geometry?

A

Elliptic, Hyperbolic and Euclidean

40
Q

Through a point P not on line l, there exists more than one line passing through point P parallel to l

A

Hyperbolic

41
Q

Topology includes the mathematical study of vanishing points and perspective

A

False

MATH10 (3 decks)

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