 If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that...  Euclid - Page 130by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...together with the square on AC. Wherefore, if a straight line &c. QED A PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained l)ij the whole line and one of the parts, together with the square en the other part, is equal to the... | |
 | Robert Potts - 1868 - 434 pages
...together with the square on AC. Wherefore, if a straight line, &c. QED PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, mid one of the parts, together with the square un the other part, is equal to the square on tlte straight... | |
 | James Maurice Wilson - 1869 - 260 pages
...by addition that AB* + BC* = 2AD* + 2DB*. Ex. 3. To divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square of the other part. Let AB be the given line. Construction. Draw a square ACDB... | |
 | Euclides - 1871 - 136 pages
...straight lines be drawn from G to B and from G to Z>, shew that BGD is a straight line. /i as a If. a straight line be divided into any two parts, four...square on the other part, is equal to the square on the straight line which is made up of the whole and the first part. Let the at. line AB be divided into... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...drawn from G to B and from G to D, show that BGD is a straight line. PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four...one of the parts, together with the square on the otJter part, is equal to the square on the straight line which is made up of the \ and the first part.... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. The propositions... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...of A] ! and BC are equal to twice the rectangle AB, BC. together with the square of AC. VIII. — If a straight line be divided into any two parts four times the rectangle contained by the wJwle line, and one of the parts, together with the square oftha other part, is equal to the square... | |
 | Edward Atkins - 1874 - 426 pages
...together with the square on AC. Therefore, if a straight line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four...square on the other part, is equal to the square on the straight line which is made up of the whole line and the first mentioned part. Let the straight line... | |
 | Euclides - 1874 - 120 pages
...proposition in Algebra is similarly expressed, and is thus represented in symbols, PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four...square on the other part, is equal to the square on the straight line which is made up of the whole and that part. 1. Let the straight line AB be divided into... | |
 | Edward Atkins - 1874 - 428 pages
...together with the square on AC. Therefore, if a straight line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four...contained by the whole line and one of the parts, toget/ier with the square on the other part, is equal to the square on tlie straight line which is... | |
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