 | Euclides - 1846 - 292 sider
...the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into...the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : the rectangle AD, DB, together with the... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...proposition algebraically expressed is (a+b)*—a*-\-2ab + b*. PROP. XLIV. THEOR. 5 . 2 EU. If a straight line be divided into two equal parts, and also into...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 sider
...line be a and b, the proposition algebraically expressed PROP. XLIV. THEOR. 5. 2 Eu. If a straight line be divided into two equal parts, and also into...between the points of section, is equal to the square ofhalftfte whole line. Let the str. line AB be divided into two equal parts at the pt. C, and into... | |
 | 1846 - 544 sider
...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 sider
...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... | |
 | Frederic A. Adams - 1847 - 238 sider
...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... | |
 | 1848 - 526 sider
...proposition.— See "BeW'sYsxcXv^" ■^vy^.'Vi, bookii.; or "Tate's Geometry," &c. art. 50. 1. If a straight line be divided into two equal parts, and also into...section, is equal to the square of half the line.— See " Bell's Euclid," prop. 5, bookii. Section 4. 1. Construct a triangle whose arc shall be equal... | |
 | Euclides - 1848 - 52 sider
...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...section, is equal to the square of half the line. PROP. VI. THEOREM. If a straight line be bisected, and produced to any point; the rectangle contained... | |
 | J. Goodall, W. Hammond - 1848 - 390 sider
...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, and also into...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. Council on Education - 1848 - 532 sider
...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, and also into...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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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. Let the straight line AB... 
