Early Computation Flashcards

1
Q

Napier’s bones was based on __

A

The Gelosian method of multiplication

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2
Q

When was the abacus first used?

A

As early as 399 BCE

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3
Q

(T/F) ‘Abacus’ and ‘Arithmetic’ became interchangeable in english around 1200 AD

A

True

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4
Q

Describe the finger reckoning method of multiplication

A
  1. # of fingers raised on each hand = number - 5
  2. Raised fingers give number of tens
  3. curled fingers on left x curled fingers on right = number of ones
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5
Q

Different ways to represent numbers on fingers

A
  1. Each finger represents a digit(normal way)
  2. Each finger represents a binary digit
  3. Chinese finger notation
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6
Q

What is Chinese finger notation

A

Individual joints of each finger as well as the left, center, and right parts can be used to represent quantities.

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7
Q

What are the uses of the Astrolabe?

A
  1. Mapping the position of celestial bodies
  2. Measure latitude / determine approximate location
  3. Determine time
  4. Estimate the height of objects
  5. Casting of horoscopes
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8
Q

Who invented Gunter’s Quadrant and when?

A

Edmund Gunter b/w 1581-1626

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9
Q

What was Gunter’s Quadrant based on?

A

The Astrolabe(Circular); Quadrant(quarter circle) solves the same types of problems

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10
Q

The most widely copied version of the Sector?

A

Created in Padua by Galileo in 1606. Had been working on it as early as 1590s.

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11
Q

The use of the sector?

A

Determining angles for firing artillery

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12
Q

Factors that went into the sector’s calculations

A
  1. Size of the gun
  2. Calibre of artillery
  3. Charge of the propellant
  4. Type of projectile being sent
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13
Q

Proportional compass

A

Used by draftsmen to reduce and enlarge drawings

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14
Q

Why did scientists dislike early computational devices?

A

They felt that the true way of science was to work manually

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15
Q

Origins of Gelosia method

A

India. later Arab, Persian, and Chinese societies by the Middle Ages

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16
Q

John Napier

A

Born 1550 in Scotland. Best known for the invention of logarithms

17
Q

Alternate names for Napier’s Bones

A

Rabdologia, numbering rods

18
Q

What is the use of Napier’s Bones

A

Used to perform multiplication and calculate logarithms

19
Q

Henri Genaille

A

Worked as a civil engineer for a railway

20
Q

Edouard Lucas

A

A French Mathematician

21
Q

Genaille-Lucas Rulers

A

1.Similar to the Napier Bones but didn’t require operator to remember the carry.
2. Each column represents a digit
3. Working left, follow the arrows to the next digit of the product

22
Q

Why was Napier given credit for logarithms?

A

Other developments were either left unpublished or not recognized for what they were

23
Q

Slide rules

A

Mechanical implementations of logarithmic tables

24
Q

Slide rule operations

A

Multiplication, division, roots, trig, powers

25
Q

William Oughtred

A
  1. 1574-1660
  2. One of the leading mathematicians
  3. Very dedicated to religion as well