| 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...points of 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... | |
| Perry Fairfax Nursey - Industrial arts - 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... | |
| Industrial arts - 1846 - 546 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 - Arithmetic - 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 - Euclid's Elements - 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...points of 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... | |
| J. Goodall, W. Hammond - 1848 - 388 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,...points 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... | |
| 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,...points of 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... | |
| Great Britain. Council on Education - Education - 1848
...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. Committee on Education - 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... | |
| Education - 1848 - 542 pages
...Tate's Geometry," &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,...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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