 | 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 - 1870 - 270 pages
...progression; as 324, 1G4, and 4, — the com. dif. being 160. PROP. 8. — THEOR. If a st. line be divided into any two parts, four times the rectangle contained...together with the square of the other part, is equal to tlie square of the st. line which is made up of the whole and that part. Coxs. — Pst. 2. A terminated... | |
 | Euclides - 1871 - 136 pages
...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 times the rectangle contained...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and the... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...G to D, show that BGD is a straight line. PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained...line and 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... | |
 | 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
...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 of the straight...line, which is made up of the whole and that part. This proposition is generally omitted by the student. IX. — If a straight line he divided info two... | |
 | Euclides - 1874 - 120 pages
...expressed, and is thus represented in symbols, PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained-...line and one of the parts together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that... | |
 | Edward Atkins - 1874 - 426 pages
...AC. Therefore, if a straight line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle contained...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole line and... | |
 | Edward Atkins - 1874 - 428 pages
...AC. Therefore, if a straight line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle 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... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...BC. <^. E. D, PROP. III. — THEOREM. (Euc. II. 3.) If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the square of that part, together with the rectangle contained by the two parts. Let AB... | |
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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... 
