 | John Playfair - Euclid's Elements - 1806 - 320 pages
...parts, together with the square of the line between the points of section, are equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D ; the rectangle AD.DB, together with the... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...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. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | John Mason Good - 1813 - 722 pages
...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. Prop. VI. Theor. If a straight line be bisected, and produced to any point; the rectangle... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...— x+xx=aa, that b, the rectangle contained by the unequal parts, together with the square of (x) the line between the points of section is equal to the square of (a) half the line. QED In the corollary, it is evident that CMG=the difference or excess of CF above... | |
 | Euclides - 1816 - 528 pages
...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. Let the straight line AB be divided into two e qual parts in the point C, and into... | |
 | Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D ; the rectangle AD.DB, together with the... | |
 | John Playfair - 1819 - 317 pages
...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. Let the straight line AB be divided into%two equal parts in the point C, and into... | |
 | Peter Nicholson - Mathematics - 1825 - 372 pages
...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. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Robert Simson - Trigonometry - 1827 - 513 pages
...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. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclid - 1835 - 540 pages
...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. Let the straight line AB be divided into two equal parts in the point C, and into... | |
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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 on the line between the points of section, is equal to the square on half the line. 
