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abacus Achilles Adriaen Ahmes An-am and Menes ancient answer apple Arab arithmetic asked the Story-Teller asked the Tease Bagdad boy named Caius calculi cats eat Chinese Chinese abacus Ching and An-am counters Crowd curious book Cuthbert decimal fractions digits dividing divisible by 9 dozen dozen easy Europe exactly divisible father figures Filippo four 9's Gerbert Greek GREEK NUMERALS Gupta Heron Hippias hundred years ago Jakob Johann knew large numbers learned Leonardo Leonardo of Pisa lived loaves log fire Lugal magic square Mesopotamia method Michael Michael Stifel minutes Mohammed movable type multiply number puzzles Number Stories paper papyrus pebbles piece pound priest printed problem Question Box replied the Story-Teller Robert Record Roman numerals show that half soroban suan pan subtract teacher tell thousand years ago three numbers Titus to-day to-night told trick turtle twelve twenty on hands word write numbers written Yellow River
Page viii - Do not train boys to learning by force and harshness ; but direct them to it by what amuses their minds, so that you may be better able to discover with accuracy the peculiar bent of the genius of each.".
Page 147 - There were two Arabs who sat down to eat, one with five loaves, and the other with three, all the loaves having the same value. Just as they were about to begin, a third Arab came along and proposed to eat with them, promising to pay eight cents for his part of the meal. If they ate equally and consumed all the bread, how should the eight cents be divided ? Remember that one Arab furnished five loaves and the other furnished three loaves.
Page 115 - At a party, the following were present: 1 grandfather, 1 grandmother, 2 fathers, 2 mothers, 4 children, 3 grandchildren, 1 brother, 2 sisters, 2 sons, 2 daughters, 1 father-in-law, 1 mother-in-law, and 1 daughter-inlaw. The dining table could serve no more than 10 people, but all were served at the same time. How could this be? Answer: Present was a party of seven: 2 little girls, 1 boy, their father and mother and his father and mother. This accounts for all...
Page 121 - The blacksmith said he would do so if he were paid one cent for the first nail, two cents for the second, four cents for the third, eight cents for the fourth, and so on, doubling the amount each time.
Page 139 - ... if the difference between the sums of the digits in the odd and even places is o or any other multiple of 11.
Page 145 - Take a guinea out of your pocket, and get the change for it — shillings — farthings : which is worth most, the guinea or the change ? Which is the heavier, a pound of gold or a pound of feathers ? When you have answered these, you shall be told, if you like, whether the objection about shortness has any thing in it but words. Once more : the recollection of bodily pleasures is unsavory, and demands blushes. When enjoyed in an improper manner, let the recollection of them be ever so unsavoury...
Page 141 - ... Arrange the figures 1 to 9, inclusive, in a triangle so as to count 20 in every straight line. So as to count 17 in every straight line. 6. When is a number divisible by 9? 7.
Page 144 - If a herring and a half costs a cent and a half, how much will a dozen and a half herrings cost?