 | Euclides - 1845 - 546 páginas
...= a2 — ma, to each of these equals add m* ; .-. (a + m) (a — m) + m' = a'. That is, if a number be divided into two equal parts, and also into two unequal parts, the product of the unequal parts and the square of half their difference, is equal to the square of half... | |
 | Perry Fairfax Nursey - 1846 - 536 páginas
...section is equal area of triangle, b В С + the space S ; or 15-48 xl4'5 + S = 112-23 + S; that is, as less than 112'5 + S. In the same manner it may be...their form, or rather their dimensions, were in 310 THE SEPTENABY SYSTEM. the proportion I have shown to be the best. It could be easily shown, that the... | |
 | Great Britain. Admiralty - 1846 - 128 páginas
...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 two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | Great Britain. Admiralty - 1846 - 128 páginas
...the proposition algebraically expressed is (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 unequal parts, together with the square of the line between the points of... | |
 | Euclides - 1846 - 292 páginas
...parallelograms about the diameter of a square are 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 unequal parts, together with the square of the line between the points of... | |
 | Frederic A. Adams - 1846 - 230 páginas
...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 - 542 páginas
...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, and also into two unequal parts, the rectangle contained by the unequal parts, togelher with the square of the line between the points of... | |
 | Great Britain. Committee on Education - 1848 - 514 páginas
...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 two unequal parts, the rectangle contained by the unequal parts together with the square of the line between the points of... | |
 | Great Britain. Council on Education - 1848 - 532 páginas
...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 two unequal parts, the rectangle contained by the unequal parts together with the square of the line between the points of... | |
 | Euclides - 1848 - 52 páginas
...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 two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
| |
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. 
