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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

## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 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. Lat AB be a straight line bisected in C, and produced to my point D. Then...

## Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...MATHEMATICS. (2.) 1. By the application of algebra to geometry divide a 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. If the solution is obtained by a quadratic equation...

## The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 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. Prove arithmetically or algebraically the first four propositions of...

## Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 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. 2. Given a straight line divided as in Proposition XI ; prove that the...

## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet the rectangle contained by the whole line, and one of the parts, toe/ether with the square of the other part, is equal to the square of the straight line, which it...

## Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...square on half their sum. Rect. AD, DB and sq. on CD = sq. on CB. Includes Euclid's II. 5 and 6. n. 8. If a straight line be divided into any two parts,...contained by the whole line and one of the parts, with the square on the other part, is equal to the square on the straight line which is made up of...

## Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 pages
...so as to form another square, that four times the rectangle contained by a whole line and one of its parts, together with the square on the other part, is equal to the square on the line which is made up of the whole line and that part. 5. Describe a square which shall be equal to...

## University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...triangle are together less than two right angles. 5. 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 of the aforesaid part....