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Βιβλία Βιβλία 41 - 50 από 168 για That is, the square of the sum of two numbers is equal to the square of the first....
" That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number. "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 309
των George Roberts Perkins - 1851 - 342 σελίδες
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An Elementary Course of Plane Geometry

1870 - 16 σελίδες
...difference of the squares of two numbers is equal to the product of their sum and difference. znd. The square of the sum of two numbers is equal to the sum of the squares together with twice the product. 3rd. The square of the difference of two numbers...

Introduction to the National Arithmetic on the Inductive System: Combining ...

Benjamin Greenleaf - 1871 - 330 σελίδες
...the parts separately hy the width ? Fig. 2. 25 feet. V 20 Ew* r 6 \JC b sir D F 20 20 20 5 400 100 the square of the sum of two numbers is equal to the squares of the numbers, pins twice their product. Thus, 25 being equal to 20-1-5, its square is equal...

A Treatise on Algebra

Elias Loomis - 1873 - 360 σελίδες
...reduce 53(a-6+c)-27(a+6-c)-26(a-6-c). 66. The three following theorems have very important applications. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus, if we multiply...

The Art of Computation: Designed to Teach Practical Methods of Reckoning ...

David White Goodrich - 1873 - 206 σελίδες
...the squares of 20, 30, 40, 50, etc., are 400, 900, 1600, 2500, etc. Now since -(a+b)*=a'+2ab.+ b', the square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus 212 = 20'+ 2(20+...

Hermathena, Τόμος 1

1874
...equal to the sum of the squares of its two parts, and twice the rectangle under them shows equally that the square of the sum of two numbers is equal to the sum of their squares, together with twice their product, and yet the units of the numbers are not exhibited...

Journal of the Institute of Actuaries and Assurance Magazine, Τόμος 18

1875
...complicated formula, such as (a + A) 2 = a 2 + 2«6-f 6 2 , which would be thus stated in words: " The square of the sum of two numbers is equal to the sum of their squares increased by twice the product of the numbers", the advantage is more decidedly...

Journal of the Institute of Actuaries, Τόμος 18

1875
...somewhat more complicated formula, such as (a + b)2=a? + 2ab + b2, which would be thus stated in words : " The square of the sum of two numbers is equal to the sum of their squares increased by twice the product of the numbers", the advantage is more decidedly...

Elementary Algebra: With Brief Notices of Its History

Robert Potts - 1879
...And the first and second have this connection : (a+J)2 = (e_i)»+4ei, (ei)' = (e+i)I-4ei; that ie, The square of the sum of two numbers, is equal to the sum of the square of the difference and four times the product of the two numbers. The square of the...

Elementary Algebra: With Brief Notices of Its History

Robert Potts - 1879
...the first and second have this connection : (а+Ьу = (а-Ь)>+4аЬ, (e-î)l = (e+J)1-4ei; that is, The square of the sum of two numbers, is equal to the sum of tho square of the difference and four times the product of the two numbers. Tho square of the...

Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1879 - 608 σελίδες
...b' The first example gives the value of (a + £>) (a + 6), that is, of (a + b)' ; we thus find Thus the square of the sum of two numbers is equal to the sum of the squares of the two numbers increased by twice t/ieir product. Again we have Thus the square...




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