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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

## Calendar of the University of Sydney

University of Sydney - 1898 - 548 pages
...drawn through a given point in one side of it. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part....

## The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...produced and the part of it produced together with the square on half the line bisected is equivalent to the square on the straight line which is made up of the half and the part produced. 608. If a straight line is bisected and produced to any point, the sum...

## Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 580 pages
...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. 6. The square on the sum of two unequal straight lines is greater than...

## Calendar, for the Year ...

1900 - 164 pages
...series -i._,.— + , 2 2* 2* 2* 6. Shew how to 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 (i.) to the square, (ii.) to double of the square on the other part. 7. Prove that if...

## The School World, Volume 3

Education - 1901 - 548 pages
...about the diagonal of a rhombus is a rhombus. (5) Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Show that there may be two points of division. (6) Equal...

## Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...Inspector. Mr. HUGHES, District Inspector. i SECTION A. 1. Divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without a circle two straight lines...

## Euclid, Book 1

Euclid, Rupert Deakin - Euclid's Elements - 1903 - 218 pages
...(a + 6)2 + 62 = 2 (a + 6) 6 + a2, where a denotes AC, and 6 denotes CB. PROP. B.— Theorem.— It a straight line be divided into any two parts, four...square on the other part, is equal to the square on the line made up of the whole and that part. Let the straight line AB be divided into any two parts AC,...

## Calendar, for the Year ...

1903 - 188 pages
...the whole line thus produced and the part of it produced, and 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. 4. Prove that the locus of a point, whose distance from one of two fixed...