| Euclid, Thomas Tate - 1849 - 120 pages
...AB, BC, together with the squares of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. **If a straight line be divided into any two parts,...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... | |
| 1867 - 336 pages
...geometrically that the sum of the squares of two lines cannot be less than twice their rectangle. 3. **If a straight line be divided into any two parts,...line and one of the parts, together with the square** of the other part, is equal to the square of the straight liue which is made up of the whole and that... | |
| Euclides - 1852 - 152 pages
...other in this Proposition are equal to the two squares AE and kc added together.] PROP. VIII. THEOR. **If a straight line be divided into any two parts,...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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...BC, together with the square of AC. Wherefore, if a straight line, etc. QED PROPOSITION VIII. THEOR. **If a straight line be divided into any two parts,...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 of the whole and that... | |
| Euclides - 1853 - 176 pages
...together with the square of a С. Wherefore, if a straight line, &c. QED PROPOSITION VIII. — THEOREM. **If a straight line be divided into any two parts,...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... | |
| Euclides - 1853 - 146 pages
...AB, BC, together with the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOREM. **If a straight line be divided into any two parts,...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 - Geometry - 1853 - 176 pages
...and the produced part, to• gether with the square on <• half the line bisected, is equal in area **to the square on the straight line which is made up of the** half and the produced part. 11.10.. . II. 11, cor. II. 4, cor. 2.. . II. 1. . II. l.cor. II. 5, schol.... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 472 pages
...question in its literal meaning. 2. To divide a line of 20 inches in length into two parts such that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. Let x = the greater part ; then 20 — x = the less... | |
| Euclides - Geometry - 1853 - 334 pages
...other part. Let AB be the given straight line. It is required to divide it into two such parts, that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. On AB describe (i. 46) the square ACDB ; and supposing... | |
| Cambridge univ, exam. papers - 1854 - 282 pages
...parallelograms GF, EH is equal to twice the triangle KBD. 2. 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. Produce a given straight line to a point such that... | |
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