 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...of the squares on AB, AC is equal to twice the sum of the squares on AD, BD. PROPOSITION X. THEOREM. If a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part of it produced are together double... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the Qs on AD and DB is equal to twice the Q on AC together with twice the Q on C D. PBOPOSITION X. If a straight line be bisected and produced to any point, the square on the whole line thus formed together with the square on the produced part, is equal to twice... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...shall be equal to a given triangle, and have one of ita angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any...produced, and the part of it produced, together with the equare of half the line bisected, is eqiml to the straight line which is made up of the half and the... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...unequ*' lines AC, CD, is equal to the rectangle contained by their sum AD and their difference DB. VI. — If a straight line be bisected, and produced...contained by the whole line thus produced, and the part produced, together with the square of half the line bisected, is equal to the square of the straight... | |
 | Edward Atkins - 1874 - 428 pages
...AC, CD is equal to the rectangle contained by their sum and difference. Proposition 6.— Theorem. If a straight line be bisected, and produced to any...thus produced and the part of it produced, together ivith the square on half the line bisected, is equal to the square on the straight line which is made... | |
 | Euclides - 1874 - 120 pages
...the lines. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, t7ie rectangle contained by the whole line thus produced,...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... | |
 | 1874 - 682 pages
...methods given for their solution. 5. 1-х -}-' x=~—; find the values of x. 7? 1U Geometry — 1. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...line. How many solutions are there? When is the problem impossible? 13. Produce a given line, so that the rectangle contained by the whole line thus produced, and the part produced, shall be equal to a given square. 14. Divide a line into two parts, so that the sum of the... | |
 | Edward Atkins - 1874 - 426 pages
...squares on AC and CD. =^(A.CH Therefore, if a straight line, &c. QED CD2) Proposition 10. — Theorem. If a straight line be bisected and produced to any point, the 'uare on the whole line thus produced, and the square on the irt of it produced, are together double... | |
 | Euclides - 1874 - 342 pages
...the squares on AC, CD. If therefore a straight line be divided, &c. QED PROPOSITION 10.— Theorem. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double... | |
| |
Prove it. 6.If a straight line be bisected and produced to any point, the rectangle contained by the whole 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... 
