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If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected; and of the square on the line made up of the...
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 88
by Euclides, James Hamblin Smith - 1872 - 349 pages

## The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...produced and the square on the part of it produced are together double the squares on half the sect and on the line made up of the half and the part produced. 107 304. The projection of a sect upon a line is the part between the perpendiculars dropped upon the...

## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square...the line made up of the half and the part produced. 7. The angle at the centre of a circle is double of the 8 angle at the circumference upon the same...

## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the whole line thus produced and the part produced are together double of the square on half the line and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to D; the squares on AD, DB shall be together double...

## Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...the whole line thus produced and the part produced are together double of the square on half the line and of the square on the line made up of the half and the part produced. 11. To divide a given straight line into two parts, so that the rectangle contained by the whole and...

## Examinations Papers

1891 - 718 pages
...the part of it produced are together double of the sum of the squares on half the line bisected and on the line made up of the half and the part produced. 6. Divide a given straight line into two parts so that the rectangle contained bv the whole and one...

## Yale Examination Papers

Yale University - 1892 - 200 pages
...square on the whole line thus produced and the square on the part of it produced are together double of the square on half the line bisected and of the square...the line made up of the half and the part produced. 3. A given angle ВАС is bisected ; if С A is produced to G-, and the angle BAG is bisected, prove...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...thus produced, and on the part produced, is twice the sum of the squares on hali the line bisected and on the line made up of the half and the part produced. Let the st. line AB be bisected at P, and produced to Q: then shall the sum of the sqq. on AQ, QB be twice the sum of the sqq. on AP,...

## A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 2

James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...and the part of it produced, together with the square on half the line bisected, shall be equal to the square on the line made up of the half and the part produced. 7. If a straight line be divided into any two parts, the square on the whole line, together with the...