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Prove it. 6.If a straight line be bisected and produced to any point, the rectangle contained by the whole 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...
Government examinations, a companion to 'Under government' and a key to the ... - Page 88
by Joseph Charles Parkinson - 1860

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...the rectangle contained by their sum AD and their difference DB. PROPOSITION VI. THEOREM. Tfaitraight line be bisected, and produced to any point; the rectangle contained by the whole line thus prodlwed, and the part of it produced, together with the square on half the line bisected, i3 equal...

## church, state ,law and academic robes, church furniture

frank smith - 1868
...angles of a triangle can in no case exceed two right angles. 4. Give two proofs of Eucl. I. 47. 5. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double...

## Report on the examination for admission to the Royal military academy at ...

...the magnitudes of the angles of the different triangles referred to, complete the demonstration : " If a straight line be bisected and produced to any point, the squares of the whole line thus produced and the part of it produced are together double of the square...

## Civil service guide

Civil service - 1869 - 178 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any...square of half the line bisected, is equal to the straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight...

## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Henry Green - 1870
...4 = 12 + 4 = 16 : extracting the square root, x + 2 = 4 /. x = 2. PROP. 6. — THEOR. If a st. tine be bisected and produced to any point, the rectangle...half the line bisected, is equal to the square of the st. line which is made up of the half and the part produced. CONS.— 46. I., Pst. 1, and 31. I. DEM.—...

## Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...in D, shew that the sum of the squares on AB, AC is equal to twice the sum of the squares on AD, BD. 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...

## GEOMETRICAL ANALYSIS, OR THE CONSTRUCTION AND SOLUTION OF VARIOUS ...

BENJAMIN HALLOWELL - 1872
...side to which it is parallel in the triangle ABC, and each rhombus is half of ABC. THEOREM II. — If a straight line be bisected and produced to any point, the rectangle of the whole line thus produced and the part produced, with the square of half the line bisected, are...

## Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872
...parallelograms is equal to twice the triangle BKD. II. 11. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall bo equal to the square on the given straight line. in. 22. If the opposite sides of...