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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
The Elements of Geometry, Symbolically Arranged - Page 58
by Great Britain. Admiralty - 1846

## Report on Foreign Systems of Naval Education

James Russell Soley - Naval education - 1880 - 346 pages
...produced until EF=EB, and GJJ=DC, show that the line GF passes through A. "• 3. If a straight Hue be divided into two equal parts and also into two...Contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Prove that the...

## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...likewise squares. PROPOSITION 5. THEOREM. ff a straight line be divided into two equal parts and -dso into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equalto the square on halftheline. Let the straight line...

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

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...Proposition itself (as in 5). PROP. V. THEOREM. Ij a straight line lie divided into two equal parts, and oho into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let AB be a straight...

## (Report).

Elizabethan club - 1880 - 156 pages
...a rectangle, prove that the squares on PA and PC are together equal to the squares on PB and PD. 5. If a straight line be divided into two equal parts, and also two unequal parts, the rectangle contained by the unequal parts, together with the square on the line...

## Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880 - 660 pages
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. If О be any point on the base BC (or that base produced) of the isosceles triangle...

## Transactions, Volume 13

...subtending the right angle is equal to the squares upon the sides which contain the right angle. 7. If a straight line be divided into two equal parts...points of section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole...

## Transactions, Volume 13

Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...subtending the right angle is equal to the squares upon the sides which contain the right angle. 7. If a straight line be divided into two equal parts...points of section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole...

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

Moffatt and Paige - 1881 - 176 pages
...angle AOB in C ; show that the squares on PM, CM are together equal to the square on the radius. 2. If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. What is the corresponding...