 | Moffatt and Paige - 1879 - 506 páginas
...CB, is equal to the square on C D. Therefore, if a straight line, etc. QED Proposition VII. Theorem. If a straight line be divided into any two parts,...part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the squares on AB, BC shall... | |
 | Euclides, James Hamblin Smith - 1879 - 376 páginas
...straight line be divided into any two parti, (he squares on the whole line and on one of the parts arc equal to twice the rectangle contained by the whole...that part together with the square on the other part. 0 B IF 'H Let AB be divided into any two parts in C. Then must sqq. on AB, BC=twice red. AB, BC together... | |
 | Edward Harri Mathews - 1879 - 94 páginas
...Construct the figure ; and prove that one of the given triangles is equal to the sum of the other two. 6. 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 by the whole and... | |
 | W J. Dickinson - 1879 - 44 páginas
...which is made up of the half and the part produced. 7. Define a rectangle and a gnomon. Prove that if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 páginas
...should have, The rectangle BD, AD together with the square on AC = the square on CD. PROP. VII. THEOREM. If a straight line be divided into any two parts,...part, together with the square on the other part. Let AB be a straight line divided into any two parts in C. Then it is to be proved that The squares... | |
 | 1880 - 160 páginas
...equal to the rectangle contained by the two parts, together with the square on the aforesaid part. 8. If a straight line be divided into any two parts,...part, together with the square on the other part. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
 | Oxford univ, local exams - 1880 - 396 páginas
...also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares on the whole line and on one of the parts are equal...part, together with the square on the other part. 6. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have... | |
 | French Ensor Chadwick - 1880 - 222 páginas
...straight line. 6. If a straight line be divided into two parts, the squares of rhe whole line, and of one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part. 7. To draw a straight line from a given point, either in the circumference or out... | |
 | 1880 - 594 páginas
...by algebraical processes ? Give the formulas in algebra corresponding to Propositions 9 and 10. 2. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part, together with... | |
 | Isaac Todhunter - 1880 - 426 páginas
...is that which is half of the given square. 504. 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. 505. Two rectangles have equal areas and equal... | |
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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 by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
