 | John Playfair - Mathematics - 1806 - 320 pages
...rectangles A.BD, A.DE, A.EC. Therefore, if there be two 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 the parts are together equal to the square of the whole... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...with the square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the... | |
 | John Mason Good - 1813 - 714 pages
...equal to the square of the «traight line which U made up of the half and the part produced. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the... | |
 | Euclides - 1814 - 560 pages
...rectangle AC'. CB, together with the square of BC. If therefore u straight line, &c. QED PHOP. IV. THKOR. E IF a straight line be divided into any two parts,...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... | |
 | Jeremiah Day - Algebra - 1814 - 304 pages
...than in ordinary language. The proposition, (Euc. 4. 2.)] that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, togedier with twice die product of the parts, is demonstrated, by involving a binomial. Let the side... | |
 | Euclides - 1816 - 588 pages
...rectangle 1"" "Y"*"' AB, BC, is equal to the square of AB. If therefore a straight line, &c. QED PROP. III. THEOR. IF a straight line be divided into any two parts, the rectangle contained by the whole and one ofthe parts is equal to the rectangle contained by the two... | |
 | John Mason Good - 1819 - 800 pages
...equal to the rectangle contained by the two parts, together with tiie square of the furesaicl part. Prop. IV. Theor. If a straight line be divided into any two parts, the square of the whole line n equal to the squares of the two parts, together with twice the rectangle contained by the parts.... | |
 | Jeremiah Day - Algebra - 1820 - 352 pages
...than in ordinary language. The proposition, (Euc. 4. 2.) that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, together with twice the product of the parts, is demonstrated, by involving a binomial. Let the side of a square... | |
 | Euclides - 1821 - 294 pages
...are the given quantities : then 6 X 6 -f- 6 X 2 is = to 8 X 8 — 8 X 2. PROP. 4T THEQR. If a right line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the parts and twice the rectangle under the parts On the given line describe... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...BC. If therefore a straight line, &c. QED PROP. IV. THEOR. IP a straight line be divided into any twq parts, the square of the whole line is equal to the squares of the two pai ts, together with twice the rectangle contained by the parts. Let the straight line AB be divided... | |
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If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 
