 | 1844 - 688 σελίδες
...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 unequal parts,...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... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...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 unequal parts,...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 parts,...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 - 1846 - 128 σελίδες
...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 parts,...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 - 1846 - 128 σελίδες
...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 parts,...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... | |
 | J. Goodall, W. Hammond - 1848 - 390 σελίδες
...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 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... | |
 | Euclides - 1848 - 52 σελίδες
...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 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... | |
 | Great Britain. Council on Education - 1848 - 532 σελίδες
...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 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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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. 
