| Euclides - 1865
...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... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...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
...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 - 400 sider
...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
...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 - 410 sider
...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
...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
...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 - 349 sider
...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.... | |
| Euclid, Charles Peter Mason - 1872
...whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, **the rectangle contained by the whole line and one of the parts** is equal to the square on that part together with the rectangle contained by the two parts. The propositions... | |
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