 | Robert Simson - Trigonometry - 1806 - 546 pages
...rectangle AC, CB, together with the square of BC. If therefore a straight line, &c. QED PROP. IV. THEOR. IF a straight line be divided into any two parts,...whole line 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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...Therefore AB.BC =AC.CB+BC2. Therefore, if a straight line, &c. QED c B •33 PROP. IV. THEOR. \ -^ IF a straight line be divided into any two parts,...whole line 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... | |
 | John Mason Good - 1813 - 714 pages
...rectangle contained by the two parts, together with the aquarc of the foresaid part. Prop. IV. Theor. If a straight line be divided into any two parts,...whole line is equal to the squares of the two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be... | |
 | 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 AC, CB, together with the square of BC. If therefore a straight line, &c. QED PROP. IV. THEOR. Is a straight line be divided into any two parts, the...whole line 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...therefore AB.BC '= AC.CB -f BC2. Therefore, if a straight -F line, &c. Q, ED — D PROP. IV. THEOR. If a straight line be divided into any two parts,...whole line 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... | |
 | John Playfair - 1819 - 354 pages
...if a straight If D -E line, &c. Q, ED PROP. IV. THEOR. If a straight line be divided into any tiio 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. Let the straight line AB be divided into... | |
 | John Mason Good - 1819 - 800 pages
...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.... | |
 | 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... | |
| |
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. 
