 | Euclides - 1865 - 402 σελίδες
...the whole and that part, together with the square of the other part. Prop. 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... | |
 | Robert Potts - 1865 - 528 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.... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...straight line &c. QED B t> PROPOSITION 8. THEOREM. If a straight line be divided into any two parti, four times the rectangle contained by the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made up of the whole and that... | |
 | 1867 - 224 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. Homer, Od. I— XII. Translate, with comments where necessary : — Tw... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...THEOREM. If a straight line be divided into any two parts, four times the rectangle contained l)ij the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made up of the whole and that... | |
 | Woolwich roy. military acad - 1868 - 426 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. 11. To describe a rectilineal figure which shall be similar to one given... | |
 | Robert Potts - 1868 - 434 σελίδες
...square on AC. Wherefore, if a straight line, &c. QED PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, mid one of the parts, together with the square un the other part, is equal to the square on tlte straight... | |
 | James Maurice Wilson - 1869 - 260 σελίδες
...by addition that AB* + BC* = 2AD* + 2DB*. Ex. 3. To divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square of the other part. Let AB be the given line. Construction. Draw a square ACDB... | |
 | Euclides - 1871 - 136 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. Iff M Q- JT Let the st. line AB be bisected in tfand produced to D. Then... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...and from G to D, show that BGD is a straight line. PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle...one of the parts, together with the square on the otJter part, is equal to the square on the straight line which is made up of the \ and the first part.... | |
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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... 
