| John Bonnycastle - 1803 - 279 sider
...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 - 1804
...together with the fquare of AC. Wherefore if a ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight **line be divided into any two parts, four times 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 up of the whole... | |
| John Playfair - 1806 - 311 sider
...the lines together " with the square of the difference of the lines." ,, PROP. VIII. THEOR. .• IF **a straight line be divided into any two parts, four...parts, together with the square of the other part,** are equal to the square of the straight line which is made up of the whole and the firstmentioned part.... | |
| John Mason Good - 1813
...contained by the whole and that part, together with the square of the other part. Prop. VIII. Theor. If **a straight line be divided into any two parts, four...equal to the square of the straight line which is made** up of the whole and that part. Prop. IX. Theor. If a straight line be divided into two equal, and also... | |
| Euclides - 1816 - 528 sider
...rectangleAB, BC, together withthe square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOfc. IF **a straight line be divided into any two parts, four,...to the square of the straight line, which is made** up of the whole and that part. Let the straight line AB be divided into any two parts in the point... | |
| Daniel Cresswell - 1817 - 436 sider
...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... | |
| John Mason Good - 1819
...the square of the other part. Prop. \ III. Theor. If a straight line be divided into any two parto, **four times the rectangle contained by the whole line,...is equal to the square of the straight line which** il made up of the whole and that part. double of the square of half the line, »na of tfc square nf... | |
| John Playfair - 1819 - 317 sider
...difference of the lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, fouf **times the rectangle contained by the whole line, and...of the parts, together with the square of the other** fart, is equal to the square of the straight line which is made up of the whole and the first-mentioned... | |
| Miles Bland - 1819 - 377 sider
...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,... | |
| John Playfair - 1819 - 333 sider
...contained by the lines together with the •' square of the difference of the lines." PROP. VIII. THEOR. If **a straight line be divided into any two parts , four times the** reftanglt contained by the whole line, and one of the parts, together •with the square of the other... | |
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