 | 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... | |
 | 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 - 528 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 - Mathematics - 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 - 592 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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IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... 
