Tyro's Spyglass, Arithmetical Lexicon, and School Teacher's Assistant: Consisting of Very Important Arithmetical Problems, and of the Solution of All the Most Intricate Questions to Be Found in All Works on Arithmetic
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1841 Excerpt: ...its length and width, then 142-7-2=71, and 71 X 71=5041=square of the sum, then rods 1170X4=4680=4 times the product, and 5041--4680=361, and%/361=19=Diff. of the numbers, then 71--19-: -2=26 rods wide, and 71--26= 45 rods long. IV. The difference of two numbers, and their product, given to find the numbers. Rule.- ...
Read More
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1841 Excerpt: ...its length and width, then 142-7-2=71, and 71 X 71=5041=square of the sum, then rods 1170X4=4680=4 times the product, and 5041--4680=361, and%/361=19=Diff. of the numbers, then 71--19-: -2=26 rods wide, and 71--26= 45 rods long. IV. The difference of two numbers, and their product, given to find the numbers. Rule.--Square the difference of the two numbers, then add one fourth of the square to the product, and twice the square root of this sum is the sum of the two numbers. You will then have their sum and difference to find the numbers by Prob. I. See Problems. EXAMPLE. A man had a field in the form of a parallelogram, the lengt of which was 40 rods more than the breadth, and the area 3825 rods. Required the length and breadth.--40X40=1600, and 1600-4=400, which plus 3825=4225, and V4225=65, and 65X2=130=the sum of the numbers, then 130--40-2--45 rods in breadth and 130--45=85 rods in length. V. The sum of two numbers, and the sum of their cubes given to find the numbers. Rule.--From the cube of the sum, subtract the sum of the cubes, and divide the remainder by three times the sum of the numbers, and the quotient will be the product of the two numbers. Then, having the sum and product given, the number! may be found by Prob. III. See Important Problems. Example. A farmer sold two cubical stacks of hay. Aside of the greater stack, added to a side of the less, was 20 feet, and both stacks contain 2240 cubic feet. Required the length of a side of each. 20X20X20=8000=cube of the sum, and 8000--2240"-: -20X3 =96=product of the numbers, then 20X20--96X4=16, and Vl6=4=D)ff. then 20--4-: -2=8 ft. side of the smaller stack. and 20--8=12 ft. side of the larger stack. VI. The sum and difference of the squares of two number given, to find these numbers. Rule.--From ...
Read Less
Add this copy of Tyro's Spyglass, Arithmetical Lexicon, and School to cart. $53.62, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2016 by Palala Press.
