 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...Ex. 1O83. If a straight line is divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. (Draw a figure.) Ex. 1O94. What algebraical identity is by fig. 202? (Take AO = OB = a, OP = 6.) Ex.... | |
 | 1903 - 898 pages
...a straight line be divided into any two parts, prove that the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. 6. Describe an isosceles triangle such that the square on the base may be equal to three times... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...THEOREM. If a straight line is divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. Let the straight line AB be divided at C into the two parts AC, CB. Then shall the sq. on AB be equal... | |
 | United States. Office of Education - Education - 1907 - 720 pages
...angle. 7. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parta, so that the rectangle contained by the whole and one... | |
 | United States. Bureau of Education - Education - 1907 - 732 pages
...angle. 7. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parte, so that the rectangle contained by the whole and one... | |
 | United States. Bureau of Education - Education - 1907 - 724 pages
...angle. 7. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by (lie two parts. 8. Divide a given straight line into two parts, so that the rectangle contained by... | |
 | Godfrey Bosvile - Horsemanship - 1908 - 316 pages
...parallelogram. 5. If a straight line is divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. 6. If one cord of a circle bisects another at right angles, one of them must be a diameter. 7. The... | |
 | Newfoundland Council of Higher Education - 1911 - 250 pages
...Prove that, if a straight line is divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts, (9) 70 A 7. Prove that the rectangle contained by the sum and the difference of two straight lines... | |
 | Saskatchewan. Department of Education - Education - 1910 - 260 pages
...BC. 2. (a) If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. II. 4. 3. If the shorter diagonal of a rhombus is equal in length to one of the sides, prove that the... | |
 | Aleksandr Vasilʹevich Mikhalev - Mathematics - 2002 - 650 pages
...following way: "If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts." The real precursor of algebra in antiquity is Diophantus (around 250). He developed a syncopated... | |
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If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 
