| Muḥammad ibn Mūsá Khuwārizmī - Literature, Medieval - 1915 - 206 pages
...the rectangle contained by the unequal segments of the whole together with the square on the straight **line between the points of section is equal to the square on** the half." This is one of the propositions of Euclid which connect very directly with the geometrical... | |
| Trinity College (Dublin, Ireland) - 1916 - 554 pages
...unequally. Prove that the rectangle contained by the unequal segments, together with the square on tjie **line between the points of section, is equal to the square on half the line.** 2. Construct a square equal in area to a given rectangle. 3. A point is taken on a diameter of a circle,... | |
| Newfoundland Council of Higher Education - 1917 - 186 pages
...straight is divided into two equal parts and also into two unequal parts, then the rectangle contained hy **the unequal parts, together with the square on the...section, is equal to the square on half the line.** A point S moves from one end of a line PQ. to the other end. Where is S when the rectangle PS . SQis... | |
| Great Britain. Scottish Education Dept - 1896 - 642 pages
...straight line, and that their distances from CD are equul to another given straight line. 7. If a straight **line be divided into two equal parts, and also into...two unequal parts, the rectangle contained by the** two unequal parts shall be equal to the difference of the squares on half the line, and on the line... | |
| Edward Grant - Science - 1974 - 890 pages
...the rectangle contained by the unequal segments of the whole together with the square on the straight **line between the points of section is equal to the square on** the half." BE • BC + (CF)2 = (BF)*. S5.BF= V4Î and CF = j ; therefore, BF - CF = n/-» /TT 1 лС... | |
| A. Szabó - History - 1978 - 378 pages
...the rectangle contained by the unequal segments of the whole together with the square on the straight **line between the points of section is equal to the square on** the half." Proposition II. 6: "If a straight line be bisected and a straight line be added to it in... | |
| John N. Crossley - Mathematics - 1987 - 240 pages
...the rectangle contained by the unequal segments of the whole together with the square on the straight **line between the points of section is equal to the square on** the half (Heath [1925], I, 382). Book II, Proposition 6. If a straight line be bisected and a straight... | |
| Law - 1903 - 960 pages
...the same base and between the same parallels, the parallelogram is double of the triangle. 5. If a **line be divided into two equal parts, and also into...the unequal parts, together with the square on the** part between the points of section, is equal to the square on half the line. 4. On a given right line... | |
| W.S. Anglin, J. Lambek - Science - 1998 - 347 pages
...into words. However, as a third example, we again quote Euclid: gether with the square on the straight **line between the points of section is equal to the square on** the half (Elements II 5). This is equivalent to the identity (a + b)(a - b) = a2 - b2. The Pythagoreans... | |
| Reinhard Laubenbacher, David Pengelley - Mathematics - 2000 - 292 pages
...the rectangle contained by the unequal segments of the whole together with the square on the straight **line between the points of section is equal to the square on** the half. For let a straight line AB be cut into equal segments at C and into unequal segments at D;... | |
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