 | William Parsons Warburton - 1878 - 102 σελίδες
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. ANSWER. — Enunciation. (\.) Let the straight line AB, be bisected in... | |
 | Euclides - 1879 - 146 σελίδες
...equal to a given square. Is this always possible ? PROPOSITION VIII. THEOREM. 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. D H Let AB be divided into any two parts at C. Then four times rect. AB, BC with sq. on AC = sq, on... | |
 | Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...BC=twice rect. .4£, BCtogether with sq. on AC QED JH a PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle...parts, together with the square on the other part, is eqtial to the square on the straight line which is made up of the whole and the first part. -A' & 'B... | |
 | W J. Dickinson - 1879 - 44 σελίδες
...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... | |
 | University of Madras - 1879 - 674 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. V. Produce a given straight Hue so that the rectangle contained by the... | |
 | Edward Harri Mathews - 1879 - 94 σελίδες
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. The rectangle under the sum and difference of two straight lines is equal... | |
 | Moffatt and Paige - 1879 - 506 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. Let the straight line AB be bisected in C and produced to the point D.... | |
 | Great Britain. Civil Service Commission - 1879 - 620 σελίδες
...an angle equal to a given rectilineal angle. 4. 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. 5. Angles in the same segment of a circle are equal to... | |
 | University of Oxford - 1879 - 414 σελίδες
...angles equal to a given rectilineal angle. 9. Divide a given 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. 11. Inscribe an equilateral and equiangular hexagon... | |
 | Isaac Todhunter - 1880 - 426 σελίδες
...the square on AC. Wherefore, if a straight line &c. QED PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle...is equal to the square on the straight line which u made up of the whole and thai part. Let the straight line AB be divided into any two parts at the... | |
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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... 
