 | John Playfair - Mathematics - 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 line AB be divided into any two parts in C ; the... | |
 | 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...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 in C ; the... | |
 | John Mason Good - 1813 - 714 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...squares of the two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts,... | |
 | 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...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 in C; the... | |
 | Bewick Bridge - Algebra - 1818 - 254 pages
...infer, that " if a number be divided into two " parts, the square of the number is equal to the sum of the " squares of the two parts, together with twice the product of " those parts." EX. 1. Multiply * by -Л Л ... the fraction required is -/ . 7 x9 =63 / 63 Ex. 2.... | |
 | 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...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 in C ; the... | |
 | 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 any two parts in C ; Uie... | |
 | John Mason Good - 1819 - 800 pages
...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. Prop. V. Theor. If a straight line be dividid into two equal parts,... | |
 | 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... | |
 | 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... | |
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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. 
