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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...
Elements of geometry, containing the first two (third and fourth) books of ... - Page 86
by Euclides - 1871

## The first three books of Euclid's Elements of geometry, with theorems and ...

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...

## Papers for the schoolmaster, Volume 3

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...

## The first two books of the Elements of Euclid, with additional figures ...

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...

## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

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...

## The first six books of the Elements of Euclid, with numerous exercises

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...

## The synoptical Euclid; being the first four books of Euclid's Elements of ...

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...

## The Elements of Euclid: With Many Additional Propositions ..., Part 1

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....

## Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

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...