| Euclid, John Playfair - 1846 - 334 páginas
...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...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 in the point D ; the... | |
| Perry Fairfax Nursey - 1846 - 536 páginas
...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 - 536 páginas
...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 páginas
...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 páginas
...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...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 in the point D ; the... | |
| Euclides - 1848 - 52 páginas
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight line **be divided into two equal parts, and also into two...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 páginas
...the squares described upon the sides containing the right angle. SECTION III. 1. If a straight line **be divided into two equal parts, and also into two...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 páginas
...to the square described upon the sides containing the right angle. Section 3. 1. If a straight line **be divided into two equal parts, and also into two...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 páginas
...to the square described upon the sides containing the right angle. Section 3. 1. If a straight line **be divided into two equal parts, and also into two...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... | |
| 1848 - 542 páginas
...&c. page 39, where a new proof is given of this important theorem. SECTION 3. 1. If a straight line **be divided into two equal parts, and also into two...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... | |
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