 | 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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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. 
