 | E. J. Brooksmith - 1889 - 356 σελίδες
...to AB to meet AD in H and BC in G; the triangles AGF, AEH&ce. together equal to the triangle ABC. 4. If a straight line be divided into any two parts,...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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...of the same magnitude however the line be drawn F PROPOSITION 7. If a straight line is divided into 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... | |
 | Royal Military College, Sandhurst - 1890 - 144 σελίδες
...together with the square on the other part. Prove that the rectangle contained by the diagonals of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole line and that part. 2. Enunciate and prove a... | |
 | 1891 - 644 σελίδες
...to the sum of the squares on them together with twice the rectangle contained by them. 5. Prove that if a straight line be divided into any two parts,...that part together with the square on the other part. 6. In an obtuse-angled triangle the square on the side opposite the obtuse angle is equal to the sum... | |
 | Rupert Deakin - 1891 - 102 σελίδες
...is equal to the square on the straight line which is made up of the half and the part produced. 7. If a straight line be divided into any two parts,...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... | |
 | 1891 - 442 σελίδες
...parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If a straight line be divided into any two parts,...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... | |
 | Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1906 - 556 σελίδες
...x«+2(b+c)x+a«=o and a be not equal to b, prove that each equation has its two roots equal to one another. 9. If a straight line be divided into any two parts,...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... | |
 | 1891 - 718 σελίδες
...other pair. 4. (a) To divide a given straight line into two parts so that the rectangle contained by 5. If a straight line be divided into any two parts, the squares on the whole line andón one of the parts are equal to twice the rectangle contained by the whole and that part together... | |
 | Euclid - 1892 - 460 σελίδες
...Ex., p. 129.] PROPOSITION 7. THEOREM. If a straight line is divided into any two parts, tlie sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
 | Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...equal to a given rectilineal angle. 3. If a straight line is divided into any two parts, the 15 sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
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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... 
