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Βιβλία Βιβλία 1 - 8 από 8 για COR. 1. Hence, because AD is the sum, and AC the difference of ' the lines AB and....
" COR. 1. Hence, because AD is the sum, and AC the difference of ' the lines AB and BC, four times the rectangle contained by any two lines, together with the square of their difference, is equal to the square ' of the sum of the lines." " COR. 2. From... "
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Σελίδα 102
των Robert Mudie - 1836 - 496 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 σελίδες
...AC the difference of " the lines AB and BC, four times the rectangle contained by any two •' lines together with the square of their difference, is equal to the " square of the sum of the lines." A E P D jsr o •' COR. 2. From the demonstration it is manifest, that since...

Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 σελίδες
...If we subtract the square of a — b from that of a + b, we have, (a— 6)« = «2 — 2a6+62 4a6 = difference. Therefore, four times the product of any...whatever, of which the product is ab ; add to the factor o, any quantity c, and the product becomes a b+bc; subtract any quantity c, and it becomes ab — be;...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 σελίδες
...and the first mentioned part. Сок. 1. Hence, four times the rectangle contained by any two lines together with the square of their difference, is equal to the square of the sum of the lines. 3. From the demonstration it is also manifest, that the square of any line is...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 σελίδες
...and AC the difference of ' the lines AB and BC, four times the rectangle contained by any two lines, together with the square of their difference, is equal to the square ' of the sum of the lines." " COR. 2. From the demonstration it is manifest, that since the square ' of...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...and AC the difference of the lines AB and BC, four times the rectangle contained by any two lines, together with the square of their difference, is equal to the square of the sum of the lines. Con. 2. — From the demonstration, it is manifest, that, since the square of...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 σελίδες
...AC the difference of " the lines AB and BC, four times the rectangle contained by any two " lines, together with the square of their difference, is equal to the square " of the sum of the lines." " COR. 2. From the demonstration it is manifest, that since the square " of...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 σελίδες
...AC the difference of " the lines AB and BC, four times the rectangle contained by any two " lines, together with the square of their difference, is equal to the square " of tht sum of the lines." . " COR. 2. From the demonstration it is manifest, that since the square " of...

School Algebra, Τόμος 1

William Ernst Paterson - 1908 - 604 σελίδες
...6w ,. 4« — 2 с 81. Subtract — g — - + a from x ^0 o ¿ 32. Prove that the square of the sum of any two numbers together with the square of their difference is equal to twice the sum of the squares of the two numbers. 33. Extract the square root of 4 a:1 -12*',/ + 17жУ-12агУ+4*У34....




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