 | Pupil teachers - 1880 - 1486 σελίδες
...the sum of the squares on two lines is never less than twice their rectangle. 8.If a straight line be divided into any two parts, four times the rectangle...line and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Lat AB be a straight line bisected in C, and produced to my point D. Then... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...MATHEMATICS. (2.) 1. By the application of algebra to geometry divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. If the solution is obtained by a quadratic equation... | |
 | 1883 - 536 σελίδες
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 6. Prove arithmetically or algebraically the first four propositions of... | |
 | Moffatt and Paige - 1881 - 176 σελίδες
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 2. Given a straight line divided as in Proposition XI ; prove that the... | |
 | Euclides - 1881 - 236 σελίδες
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet the rectangle contained by the whole line, and one of the parts, toe/ether with the square of the other part, is equal to the square of the straight line, which it... | |
 | 1882 - 498 σελίδες
...bisection and terminated by the parallel lines are also bisected in that point. 13. If a straight line be divided into any two parts, four times the rectangle...line which is made up of the whole and that part. 14. Divide a line into such parts that the sum of their squares shall be double the square on another... | |
 | Marianne Nops - 1882 - 278 σελίδες
...Rect. AD, DB and sq. on CD = sq. on CB. Includes Euclid's II. 5 and 6. n. 8. If a straight line be divided into any two parts, four times the rectangle...contained by the whole line and one of the parts, with the square on the other part, is equal to the square on the straight line which is made up of... | |
 | 1882 - 376 σελίδες
...so as to form another square, that four times the rectangle contained by a whole line and one of its parts, together with the square on the other part, is equal to the square on the line which is made up of the whole line and that part. 5. Describe a square which shall be equal to... | |
 | College of preceptors - 1882 - 528 σελίδες
...(without proof) a converse of this proposition. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Give the enunciation (without the proof) of a subsequent... | |
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If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... 
