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. Elements of Plane Geometry - Side 64av Thomas Hunter - 1878 - 132 siderUten tilgangsbegrensning - Om denne boken
| Euclid, Claude-François Milliet Dechales - 1726 - 378 sider
...difficult, ' but as they are conceiv'd to contain fome ' ftrange Myfiery. PROPOSITION IV. A THEOREM. If a Line be divided Into two Parts, the Square of the whole Line will be equal to the Square's of both the Parts ; and two Re&aiigles contain d under the fame Parts.... | |
| Robert Simson - 1806 - 546 sider
...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 - 320 sider
...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 - 714 sider
...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 - 304 sider
...and concise, 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 - 588 sider
...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 - 350 sider
...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... | |
| Euclides - 1821 - 294 sider
...: 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 - 1112 sider
...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... | |
| Jeremiah Day - 1827 - 352 sider
...and concise, 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... | |
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