| Education - 1844 - 688 pages
...shall be double of the triangle. 6. If a straight line be divided into two equal parts, and also into **two unequal parts ; the rectangle contained by the...section, is equal to the square of half the line.** 7. In obtuse angled-triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...one of them. PROP. V. THEOR. — If a straight line be divided into two equal parts, and also into **two unequal parts ; the rectangle contained by the...square of half the line. Let the straight line AB be** bisected in C, and divided unequally in D : the rectangle AD.DB, together with the square of CD, is... | |
| Euclides - 1845 - 546 pages
...double of the square of half the line, and of the square of the line between the points of section. **Let the straight line AB be divided into two equal...the point C, and into two unequal parts in the point** J). Then the squares of AD, DB together, shall be double of the squares of AC, CD. CD B From the point... | |
| Scottish school-book assoc - 1845 - 444 pages
...be bisected in C, and divided unequally in D, 1 the rectangle AD-DB. together with the square on CD, **the line between the points of section is equal to the square** on (AC or CB) half the line. For AB2=AD-' + DB-+2AD-DB, (Prop. 37), but AB"=4AC2, (Prop. 37, Cor. 2),... | |
| 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...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 - 128 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...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 - 128 pages
...b*. 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...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...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
...the 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...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 - Education - 1848 - 514 pages
...containing 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...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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