 If a straight line be divided into any two parts, show that 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.  Examination Papers for Science Schools and Classes - Page 42by Great Britain. Education Department. Department of Science and Art - 1890Full view - About this book
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...larger, in the sixth, the latter. PBOPOSITION VII. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square... | |
 | Euclides - 1872 - 102 pages
...to the two diagonals of the parallelogram. in. 10. Divide a given straight line into two parts, so that the squares on the whole line and on one of the parts may bo together double of the square on the other part. in. 28. A triangle is turned about its vertex,... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...to the two diagonals of the parallelogram. in. 10. Divide a given straight line into two parts, so that the squares on the whole line and on one of the parts may be together double of the square on the other part. in. 28. A triangle is turned about its vertex,... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 94 pages
...the one equal to the third angle of the other. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts,...part, together with the square on the other part. 4. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two... | |
 | Braithwaite Arnett - 1874 - 130 pages
...TRIGONOMETRY). Logarithm booJcs will not be required. 1. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts,...part, together with the square on the other part. 2. Describe a square that shall be equal to a given rectilineal figure. If a square and a rectangle... | |
 | Oxford and Cambridge schools examination board - 1874 - 298 pages
...the same parallels, are equal to one another. 5. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts,...part, together with the square on the other part. PART II. 6. If a straight line drawn through the centre of a circle, bisect a straight line in it which... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...side of the base shall be equal to one another. 8. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts...part, together with the square on the other part. 4. The straight line drawn at right angles to the diameter of a circle from the extremity of it falls... | |
 | Euclides - 1874 - 120 pages
...the squares on the lines." PROPOSITION 7. THEOREM. If a straight line le divided into any two parts, the squares on the whole line, and on one of the parts,...part, together with the square on the other part. * Let the straight line AB be divided into any ' • two parts at the point C: the squares on AB, BC... | |
 | Edward Atkins - 1874 - 428 pages
...straight line, &c. QED Proposition 7.—Theorem. 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 wJiole and that part, together with the square on the other part. CONSTRUCTION.—Upon AB describe... | |
 | Euclides - 1874 - 342 pages
...whose square shall be equal to two given squares. 7. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 8. Show that the difference of the squares of... | |
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