 | Euclides - 1853 - 176 pàgines
...is equal to the squares oftíie two parts, togetlwr with twice the rectangle contained by the parts. LET the straight line ab be divided into any two parts in С ', the square of ab is equal to the squares of a С, С b, and to twice the rectangle contained... | |
 | Thomas Lund - 1854 - 520 pàgines
...line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole...part, together with the square of the other part. With the same construction as in (44), and in the same manner it may be shewn, that BCGK, and HGFD,... | |
 | William Somerville Orr - 1854 - 534 pàgines
...straight line (AB) be divided into any two parts (in C), the squares of the whole lint, and of one of the parts, are equal to twice the rectangle contained by the whole and Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See Diagram,... | |
 | Euclides - 1855 - 270 pàgines
...THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...the straight line AB be divided into any two parts at the point С. The squares of AB and B С are equal to twice the д ев rectangle AB. B С, together... | |
 | Cambridge univ, exam. papers - 1856 - 252 pàgines
...triangle. 7. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole, and one... | |
 | 1856 - 376 pàgines
...and 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part shall be equal... | |
 | W F. Richards - 1856 - 198 pàgines
...parts. 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...part, together with the square of the other part. 3. Divide a straight line so that the rectangle contained by the whole line and one part, shall be... | |
 | Euclides - 1856 - 168 pàgines
...straight line be divided into any two parts, the squares of the whole line and of one of the parts is equal to twice the rectangle contained by the whole...part together with the square of the other part. Let AB (Fig. 39) be divided into any two parts in the point C, the squares of AB, BC are equal to twice... | |
 | Middle-class education - 1857 - 70 pàgines
...geometrically that, if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight... | |
 | War office - 1858 - 578 pàgines
...Euclid. 1. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained...part, together with the square of the other part. VOLUNTARY PORTION. 1. Define the sine and cosine of an angle or arc, and trace the signs and extreme... | |
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If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided... 
