| John Playfair - Euclid's Elements - 1846 - 332 pages
...PROP. V. THEOR. If a straight line le dividedinto two equal parts, and also into two unequalparts ; **the rectangle contained by the unequal parts, together...point C, and into two unequal parts in the point D** ; the rectangle AD.DB, together with the square of CD, is equal to the square of CB, or AD.DB+CD2=... | |
| Euclides - 1846 - 292 pages
...likewise squares. PROP. V. THEOR. If a straight Kne be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...the square of half the line. Let the straight line** ATI be divided into two equal parts at the point C, and into two unequal parts at the point D : the... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...(a+by=a8+2ab+b8. PROP. XLIV. THEOR. 5. 2 Eu. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...points of section, is equal to the square of half the** whole line. Let the str. line AB be divided into two equal parts at the pt. C, and into two unequal... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...PROP. XLIV. THEOR. 5 . 2 EU. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...points of section, is equal to the square of half the** whole line. Let the str. line AB be divided into two equal parts at the pt. C, and into two unequal... | |
| Euclides - 1848 - 52 pages
...likewise squares. PROP. V. THEOREM. If a straight line be divided into two equal parts, and also into two **unequal parts ; the rectangle contained by the unequal...section, is equal to the square of half the line.** EUCLID S ELEMENTS. PROP. VI. THEOREM. If a straight line be bisected, and produced to any point ; the... | |
| J. Goodall, W. Hammond - 1848 - 388 pages
...right angle. SECTION III. 1. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...of section is equal to the square of half the line.** 2. In any triangle the square of the side subtending contained by either of these sides, and the straight... | |
| Great Britain. Council on Education - Education - 1848
...the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...line between the points of section is equal to the** squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less... | |
| Great Britain. Committee on Education - Education - 1848 - 514 pages
...the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into two **unequal parts, the rectangle contained by the unequal...line between the points of section is equal to the** squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less... | |
| Education - 1848 - 542 pages
...equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, togelher **with the square of the line between the points of section, is equal to the square of half the line.** — See " Bell's Euclid," prop. 5, bookii. SECTION 4. 1. Construct a triangle whose arc shall be equal... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two **unequal parts; the rectangle contained by the unequal...equal parts in the point c, and into two unequal parts** at the point D ; the rectangle AD, DB, together with the square of CD, is equal .to the square of CB.... | |
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