...since tens into units cannot give a product of less name than tens, it follows that the right-hand figure, 4, can form no part of the double product of the tens into the units ; therefore, if we divide 1 2, twice the product of tens into the units, by twice 3,...

...the square ED. Hence, The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Let it now be required to extract the square root of 1296. Since the number contains more than two...

...+ 6 32+3x6 3'+2(3x6)+6 H The square of a number is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. The same may be shown by the figure : Let the line AB re- F 30 IP present the 3 tens or 30, and BC...

...the same units' figure, must equal the product of the tens by the tens, plus the product of the sum of the tens by the units, plus the square of the units. Show the truth of the following equations : — 67 times 37 = 60 times 30 -f- 7 times 90 + 7 times...

...operation is 1184, and this number is made up of twice the product of the tens by the units plus Ike square of the units. But since tens multiplied by...form no part of the double product of the tens by the units : this double product is therefore found in the part 118. Now, if we double the tens, which gives...

...annexing the quotient 3 to the right of the 4, and then multiplying by 3. we evidently obtain the double product of the tens by the units, plus the square of the units. The entire operation may then be represented as follows : 5'29|23=the root 4 43|T29 129. (279.) Hence,...

...annexing the quotient 4 to the right of the 10, and then, multiplying by 4, we evidently obtain the double product of the tens by the units, plus the square of the units. The entire operation may then be represented as follows : 29-16 25 5x2=104 54= the root. 416 416 In...

...two next figures 84. The result of this operation is 1184, and this number is made up of twice the product of the tens by the units plus the square of...tens multiplied by units cannot give a product of a lower order than tens, it follows that the last number 4 can form no part of double the product of...

...since tens into units cannot give a product of less name than tens, it follows that the right-hand figure, 4, can form no part of the double product of the tens into the units ; therefore, if we divide 12, twice the product of tens into the units, by twice 3,...

...since tens into units cannot give 'a product of less name than tens, it follows that the right-hand figure, 4, can form no part of the double product of the tens into tke units ; therefore, if we divide 12, twice the product of tens into the units, by twice 3,...