| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...lines, &c. Q^ED ' ' ' PROP. II. THE OR. IF a ftraight line be divided into any two parts, the reftangles contained by the whole and each of the parts, are together equal to the fquare of the whole line. , Let the ftraigHt line AB be divided' into any two parts in the point 'C;... | |
| John Playfair - Mathematics - 1806 - 320 pages
...straight lines, &c. QED Book II. PROP. II. THEOR. IF a straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC, together... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...there be two straight lines, &c. QED PROP. II. THEOR. IF a straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. 46. 1. Let the straight line AB be divided into any two parts in the point C ; the rectangle contained... | |
| John Mason Good - 1813 - 714 pages
...several parts of the divided line. Prop. II. Theor. If a straight line be divided înto any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. Prop. III. Theor. If a straight line be divided into any two parts, the rectangle contained by the... | |
| Euclides - 1816 - 588 pages
...there be two straight lines, &c. QED PROP. II. THEOR. Ira. straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. Let the straight line AB be divided A into any two parts in the point C ; the " rectangle contained... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...there be two straight lines, &c. QED PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. Let the straight line AB be divided into any two parts in the point C ; the rectangle AB.BC, together... | |
| John Mason Good - 1819 - 800 pages
...line. , Prop. 1 1. Theor. If a straight line be divided into any two parts, the rectangles contained hy the whole and each of the parts, are together equal to the square of the whole line. Prop. HI. Theor. If a straight line be divided into any two parts, the rectangle contained by the «•hole... | |
| Euclid - 1826 - 234 pages
...If therefore a right line, &c. QED Deduction. If a right line be divided into any number of parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. The same by Algebra, Let a equal the line AB, and suppose it divided into any two parts e,f; then shall... | |
| Euclides - 1826 - 226 pages
...If therefore a right line, &c. QED Deduction. If a right line be divided into any number of parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. The same by Algebra. Let a equal the line AB, and suppose it divided into any two parts e,f; then shall... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...THEOR. If a straight line be divided into any two parts, the reetangles eontained by the whole and eaeh of the parts, are together equal to the square of the whole line. Let the straight line ABhe divided into any two parts in the point C ; the reetansilp AB BC, together... | |
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