 | Robert Simson - Trigonometry - 1806 - 546 pages
...the paralJelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...parallelograms about the diameter of a square are likewise squares. . PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | John Mason Good - 1813 - 714 pages
...two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts, and also into two unequal parts) the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | Euclides - 1816 - 588 pages
...the parallelograms about the diameterof a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...AD2=AC-+4AB.BC. QED" PROP. IX. THEOR. If a straight line be divided into too equal, and also into tzeo unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB... | |
 | John Playfair - 1819 - 354 pages
...the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...having an angle equal to a given rectilinear angle. 2. If a straight Hue be divided into two equal, and also into two unequal, parts ; the squares of...unequal parts are together double of the square of half the line, and of the square of the Une between the points of section. 3. If two straight lines... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...parallelograms about the diameter of a square, are likewise squares. Proposition V. Tlieorem. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...therefore AD3==AC + 4\B.BC. Q, E, D," -V PROP. IX. THEOR. ., If a straight line be divided into two equal, and also into two unequal parts; the squares of the...unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB... | |
 | Euclid - 1826 - 234 pages
...PROPOSITION IX. ТНЕОПЕМ. J/1 a rzgAf Kne ie any how cut into two equal and two unequal parts, then the squares of the two unequal parts are, together, double of the square of the half line, and the square of the intermediate part. Let any right line AB be cut into two equal parts in the point... | |
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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 
