| Robert Simson - Trigonometry - 1775 - 534 pages
...ftraight lines, &c. ~ D. a 46. i. b 3i. i. PROP. II. THEO R. TF a ftraight line be divided into any two **parts, the rectangles 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 ;... | |
| Euclid - 1781 - 552 pages
...equal to the fquare of the ftraight line which is made up ot the whole and that part. Let the ftraight **line AB be divided into any two parts in the point C** ; four times the rectangle AB, BC, together with the Iquare of AC, is equal to the fquare of the ftraight... | |
| Euclid - Euclid's Elements - 1789 - 296 pages
...equal to the fquares of the two parts, together with twice the rectangle of thofe parts. Let the right **line AB be divided into any two parts in the point c** ; then will the fquare of AB be equal to the fquares of AC, CB together with twice the re£tangle of... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...fquare of the ftraight line which is made up of the whole and the firft mentioned part. Let the ftraight **line AB be divided into any two parts in the point C** ; four times the reftangle AB, BC, together with the fquare of AC, is equal to the fquare of the ftraight... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...there be two ftraight lines, &c. Q^ ED PROP. II. THEOR. IF a ftraight line be divided into any two **parts, the rectangles 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 A. CB any two parts in the point... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...if there be two ttraight lines, &c. Q^ED PROP. II. THEOR. IF a ftraight line be divided into any two **parts, the rectangles 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 A any two parts in the point C ;... | |
| 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 - Euclid's Elements - 1806 - 320 pages
...is equal to the squares of the two parts together with twice the rectangle contained by the parts. **Let the straight line AB be divided into any two parts in** C ; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,... | |
| John Mason Good - 1813 - 714 pages
...the 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...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
...if 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...the whole line. Let the straight line AB be divided** A into any two parts in the point C ; the " rectangle contained by AB, BC, together with the rectangle*AB,... | |
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