 If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.  The English Journal of Education - Page 2721851Full view - About this book
 | Euclides - 1846 - 292 pages
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight Kne be divided into two equal parts, and also into two...section, is equal to 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... | |
 | Euclid, John Playfair - 1846 - 334 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...section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
 | Perry Fairfax Nursey - 1846 - 536 pages
...dependent on the 5th Proposition of the 2nd Book of Euclid's Elements, where it is demonstrated, that if a line be divided into two equal parts, and also into two unequal parts, the square of half the line is greater than the rectangle of the two unequal parts. Almost the whole of... | |
 | 1846 - 544 pages
...dependent on the 5th Proposition of the 2nd Book of Euclid's Elements, where it is demonstrated, that if a line be divided into two equal parts, and also into two unequal parts, the square of half the line is greater than the rectangle of the two unequal parts. Almost the whole of... | |
 | Frederic A. Adams - 1846 - 230 pages
...what are the numbers ? The theorem on which the solution of this question depends is this, If a number be divided into two equal parts, and also into two unequal parts, the product of the two equal parts, that is, the square of half the number, will equal the product of the... | |
 | John Playfair - 1847 - 340 pages
...denoted by a and b ; then, PROP. V. THEOR. If a straight linebe divided into two equal parts, andalsoinlo two unequal parts ; the rectangle contained by the...section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
 | Euclides - 1848 - 52 pages
...manifest, that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight line be divided into two equal parts,...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 - 390 pages
...angle is equal to the squares described upon the sides containing the right angle. SECTION III. 1. If a straight line be divided into two equal parts,...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. Committee on Education - 1848 - 514 pages
...right angle is equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts,...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. Council on Education - 1848 - 532 pages
...right angle is equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts,...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... | |
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