| Euclides - 1870 - 270 pages
...4 = 12 + 4 = 16 : extracting the square root, x + 2 = 4 /. x = 2. PROP. 6. — THEOR. If a st. tine **be bisected and produced to any point, the rectangle...the part of it produced, together with the square** of half the line bisected, is equal to the square of the st. line which is made up of the half and... | |
| Benjamin Hallowell - Geometry - 1872 - 286 pages
...side to which it is parallel in the triangle ABC, and each rhombus is half of ABC. THEOREM II. — **If a straight line be bisected and produced to any point, the rectangle** of the whole line thus produced and the part produced, with the square of half the line bisected, are... | |
| 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... | |
| 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... | |
| 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 - 592 pages
...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 to any...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
...rectangle contained- by the whole line and one of the parts together with the square on the other part, **is equal to the square on the straight line which is made up of the** whole and that part. 1. Let the straight line AB be divided into any two parts at the point C : four... | |
| Braithwaite Arnett - 1874 - 130 pages
...squares about the diameter are 169 and 625 square feet in area, what is the area of each complement ? 3. **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 - 234 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... | |
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