 | Frederic A. Adams - 1846 - 230 σελίδες
...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... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...also into two unequalparts ; 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 be divided into two equal parts in the point C, and into... | |
 | John Playfair - 1847 - 340 σελίδες
...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 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... | |
 | Great Britain. Committee on Education - 1848 - 514 σελίδες
...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,...contained by the unequal parts together with the square of the line between the points of section is equal to the squares of half the line. 2. In any triangle... | |
 | J. Goodall, W. Hammond - 1848 - 390 σελίδες
...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,...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. 2. In any triangle... | |
 | Great Britain. Council on Education - 1848 - 532 σελίδες
...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,...contained by the unequal parts together with the square of the line between the points of section is equal to the squares of half the line. 2. In any triangle... | |
 | Euclides - 1848 - 52 σελίδες
...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,...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. EUCLID S ELEMENTS.... | |
 | 1848 - 542 σελίδες
...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... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...manifest that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts,...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... | |
 | 1850 - 400 σελίδες
...produced, the exterior angle is greater than either of the interior opposite angles. 2. If a right line be divided into two equal parts, and also into...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. 3. In every triangle,... | |
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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 on the line between the points of section, is equal to the square on half the line. 
