 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 - Page 64by Thomas Hunter - 1878 - 132 pagesFull view - About this book
 | Euclid, Claude-François Milliet Dechales - Euclid's Elements - 1726 - 378 pages
...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 - Trigonometry - 1806 - 546 pages
...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 - Euclid's Elements - 1806 - 320 pages
...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 - 722 pages
...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 - Algebra - 1814 - 304 pages
...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 pages
...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 - Circle-squaring - 1819 - 350 pages
...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 pages
...: 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 - 1110 pages
...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 - Algebra - 1827 - 352 pages
...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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