| Euclides, James Hamblin Smith - 1883
...XI. PROBLEM. To divide a given straight line into tiro jiarts, so that the rectangle contained by ike **whole and one of the parts shall be equal to the square** on the ether part. & _ JJ 1C f Let AB be the given st. line. On AB descr. the sq. ADCB. Bisect AD in... | |
| 1884
...bisected at right angles by the straight line joining their centres. 3. Divide a given straight line **into two parts so that the rectangle contained by...parts shall be equal to the square of the other part.** 4. The angles in the same segment of a circle are equal to one another. 5. If the diameter of a circle... | |
| F. B. Stevens - 1884 - 175 páginas
...towards the same parts, are also themselves equal and parallel. 2. To divide a given straight line **into two parts, so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. (LEGENDRE.) 1. In an isosceles triangle the angles opposite... | |
| University of Cambridge - 1884
...each of the parte are together equal to the square on the whole line. 5. Divide a given straight line **into two parts, so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. Prove that the rectangle contained by the two parts is... | |
| Stewart W. and co - 1884
...line AF. X. — To Used a given finite straight line, that is, divide it into two equal parts. Let **AB be the given straight line; it is required to divide it into two** equal parts. Describe on it an equilateral triangle ABC, and bisect the angle ACB by the straight line... | |
| Euclides - 1884
...PROBLEM. To divide a given straight line internally and externally* in medial section. ir i; G' H Let **AB be the given straight line : it is required to divide it** in medial section. The second part of this proposition is not given by Euclid. L' G' — D (1) Internally... | |
| Association for the improvement of geometrical teaching - 1884
...contained by the given line and one of the segments may be equal to the square on the other segment. Let **AB be the given straight line : it is required to divide it** internally and externally so that the rectangle contained by AB and one segment may be equal to the... | |
| 1885
...line and of the square on the line between the points of section. 4. To divide a given straight line **into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square** on the other part. •">. Prove that the sum of the squares on any two sides of a triangle is equal... | |
| GEORGE BRUCE HALSTED - 1885
...rectangle BA,AF + AG2 = GF* = GH2 = AH2 + A(?, by 243 ; 112 PROBLEM II. 313. To divide a given sect **into two parts so that the rectangle contained by...and one of the parts shall be equal to the square** on the other part. Jf X GIVEN, the sect AB. REQUIRED, to find a point C such that rectangle AB,BC =... | |
| 1885
...parts of BC. Let A=e, andBC = ¿, and BU, I,E ~K. = x г. Then ab= 3. To divide a given straight line **into two parts, so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. Prop, il, Bk. II. Algebra. Anxvtr two Questions. 1. What... | |
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