CPSC 409 Exam 1 || All Questions Answered Correctly.

How do you represent quantities with fingers? correct answers - Simplest case: Each digit is mapped to a number (limited to 0-10) - Binary approach: Digit are mapped to values but each can be raised independently. (2^# digits can be represented; roughly 1024) - Chinese finger notation: Each joint of the finger are used to represent quantities. How do you set up and use the European abacus? - The abacus influenced the _____ language, and was its approximate time of invention was _____ - Pebbles used for the abacus during Roman times were called, _____, which is how _______, and _______ were derived. correct answers - Bottom 3 rows are 1, 5, and 10; the rest are a multiple of 5 and 10's up until 100000 - English; 1200 AD - Calculi; Calculus, Calculate - The astrolabe is a 2(sometimes 3) dimensional representation of the _______; it a _______ on a 2D surface - What are the uses of the astrolabe? - When was it used? correct answers - Celestial sphere; projection of the map of the sky - Measure latitude/ determine approximate location (through the angle of the north star) - Determine time: Given the suns location, when at the latitude it is the xyz time of day - Estimate height of objects - Casting of horoscope - Used in the Arab empire in 600AD; up to 1600AD - The Gunter's Quadrant was developed by ______; it was based on ______, and solved the same problems as it; however, what was the differentiating factor? correct answers - Edmund Gunter () - Astrolabe - The Astrolabe was circular, while the quadrant was folded into a quarter circle. The proportional compass was used by draftsmen to _____ or _____ ______ in any given proportion The sector was likely created in ____ by ____ in _____ correct answers - Reduce or enlarge drawings