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 Βιβλία Βιβλία 1 - 10 από 53 για From this proposition it is evident, that the square described on the difference....
From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.
Elements of Plane Geometry: For the Use of Schools - Σελίδα 61
των Nicholas Tillinghast - 1844 - 96 σελίδες
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## Elements of Geometry: With Notes

John Radford Young - 1827 - 208 σελίδες
...The square of a line is equivalent to four times the square of half the line. , ' ^ . PROPOSITION VI. THEOREM. The square described on the difference of two lines is equivalent to the squares on the two lines diminished by twice their rectangle. The square upon AB, the difference of...

## Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 σελίδες
...demonstrated in algebra, in obtaining the square of a binomial ; which is expressed thus : IF THEOREM. 1 82. The square described on the difference of two lines, is equivalent to the sum of thc squares described on the lines respectively, minus twice the rectangle contained by the lines....

## Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1830 - 316 σελίδες
...demonstrated in algebra, in obtaining the square of a binomial ; which is expressed thus : THEOREM. 182. The square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines. Let AB and BC...

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

John Playfair - 1835 - 316 σελίδες
...adding <? to each member of this equality, we shall have, COR. From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines. For a — c...

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 σελίδες
...demonstrated in algebra, in obtaining the square of a binominal ; which is expressed thus : PROPOSITION IX, THEOREM. The square described on the difference, of...two lines, is equivalent to the sum of the squares described on the lines, minus twice the rectangle contained by the lines. Let AB and BC be two lines,...

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

John Playfair - 1837 - 318 σελίδες
...equality, we shall have, COR. From this proposition it is evident, that the square described on Hie difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines. For a — c=4...

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

John Playfair - 1842 - 317 σελίδες
...member of this equality, we shall have, or <z2+c2=2ac+R Coa. From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines. For a — c=b...

## Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - 237 σελίδες
...taking these two rectangles from each member of the equation we have AC2= AB2+BC'— 2(AB x BC). Hence, The square described on the difference of two lines, is equivalent to the sum of the sqt,ares described on each of the linesi minus twice the rectangle contained by those lines. BOOK IV....

## Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

1845
...into which a line may be divided. This is equivalent to the algebraical expression PROPOSITION XI. THEOREM. The square described on the difference of...two lines is equivalent to the sum, of the squares described on the lines, minus twice the rectangle contained by the lines. Let AB and BC be two lines,...

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

John Playfair - 1846 - 317 σελίδες
....-.a2+c2=62+2c(6+c), « or a2+c2=2ac+62. COR. From this proposition it is evident, that the square described on tJte difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines. For a — c=b...