| Robert Simson - 1806 - 518 páginas
...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, 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... | |
| John Playfair - 1806 - 311 páginas
...=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, 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... | |
| John Mason Good - 1813
...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, the square of the whole line is equal to the** squares of the two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor.... | |
| Jeremiah Day - 1814 - 303 páginas
...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... | |
| Euclides - 1816 - 528 páginas
...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 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... | |
| John Playfair - 1819 - 333 páginas
...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, 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... | |
| John Mason Good - 1819 - 798 páginas
...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
...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 a D% draw a... | |
| 1854
...furnishes us with a parallel to both these cases ; for, as Euclid tells us (II., 4), 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 ; and, were we to... | |
| Robert Simson - 1827 - 513 páginas
...together with the square of BC. If therefore a straight line, &c. QED PROP. IV. THEOK. 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. Let the straight... | |
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