| Education - 1833
...aforesaid part. 5. If a straight line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts together, with twice the rectangle contained by the parts.** a. Find the value of x in x1 — a x-\-b*^0. b. Divide a*— 3x*+x* + J x'-l'2x + 6 by ^-3. Find the... | |
| Euclid - 1835 - 540 pages
...rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. **Let the straight line AB be divided into any two parts in** the point C; the rectangle contained by AB, BC, together with the rectangle * AB, AC, shall be equal... | |
| John Playfair - Geometry - 1836 - 114 pages
...XX. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts, together with twice...rectangle contained by the parts. Let the straight line AB** he divided into any two parts in C ; the square of AB is equal to the squares of AC, CB, and to twice... | |
| Mathematics - 1836 - 472 pages
...foresaid part. IV. If a straight line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts, together with twice the rectangle contained by the parts.** Сок. From the demonstration, it is manifest that the parallelograms about the diameter of a square... | |
| Charles Reiner - Geometry - 1837 - 254 pages
...proposition. P.—If a straight line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts, together with twice the rectangle contained by the parts.** The master will, here, have a suitable opportunity of directing the attention of his pupils to a numerical... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...IV. Theorem. If a straight line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts together with twice the rectangle contained by the parts.** * By the rectangle AX BC (the lines A and BC being separate) is' meant the rectangle which may be formed... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...twice the rectangle contained by the whole and that part, together with the square of the other part. **Let the straight line AB be divided into any two parts in** the point C ; the squares of AB, BO, are equal to twice the rectangle AB-BC, together with the square... | |
| Euclid - Geometry - 1837 - 410 pages
...twice the rectangle contained by the whole and that part, together with the square of the other part. **Let the straight line AB be divided into any two parts in** the point C ; the squares of AB, BC are equal to twice the rectangle AB.BC, together with the square... | |
| Euclides - 1838 - 264 pages
...equal to the rectangle contained by the two parts, together with the square of the aforesaid part. **Let the straight line AB be divided into any two parts in** the point C : the rectangle AB-BC shall be equal to the rectangle AC-CB, together with the square of... | |
| Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...Sec/ion 2. 1. If a straight line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts, together with twice the rectangle contained by the parts.** 2. If a straight line be divided into two equal and also into two unequal parts, the squares of the... | |
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