| Robert Simson - Trigonometry - 1762 - 466 pages
...ftraight line, &c, Q^ED PROP. VIII. THEOR; TF a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...Q._E. D. cCof.4.t. E PROP. VIII. THEO K. TF a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...34- 1• bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the Iquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| John Bonnycastle - Euclid's Elements - 1803 - 279 pages
...the fum qf the fquareg of AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line **into two parts, fo that the rectangle contained by the whole line and one of the parts,** fhall be equal to the fquare of the other part. Let AB be the given right line ; it is required to... | |
| Robert Simson - Trigonometry - 1804
...ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...the lines." ,, PROP. VIII. THEOR. .• 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, are equal to the square of the straight line which is made... | |
| John Mason Good - 1813
...of the other part. Prop. VIII. Theor. 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... | |
| Euclides - Euclid's Elements - 1816 - 528 pages
...straight line, &c. QED PROP. VIII. THEOfc. 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... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...given circle DPE. PROP. XXIV. 114. Problem. To divide a given finite straight line into two parts, such **that the rectangle, contained by the whole line and one of the parts,** shall most exceed the square of that part. Let AB be the given finite straight line ; it is required... | |
| Miles Bland - Euclid's Elements - 1819 - 377 pages
...square of AC, ie to the square of the given line. (10.) To divide a given line into two such parts **that the rectangle contained by the whole line and one of the parts may be** (m) times the square of the other part, m being whole or fractional. Let AB be the given line, and... | |
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