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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...
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Strona 56
autor: Daniel Cresswell - 1817 - Liczba stron: 436
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## Solutions of the problems and riders proposed in the Senate-house ...

...parts shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle...
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## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight 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 of half the line bisected, is equal to the square of the straight Kne which...
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## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - Liczba stron: 318
...SCHOLIUM. PROP. VI THEOR. If a straight line be bisected, and produced to any point; the rectangle contamed by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which...
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## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...contained by these two sides is a right angle. 5. If a right 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 of half the line bisected, is equal to the square of the right line which...
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## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...contained by their sum and difference. LI. 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 of half the line bisected, is equal to the square of the line made up of the...
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## Skeleton propositions &c. of Euclid, books i and ii, with references ..., Tom 2

Euclides - 1858
...USE. l. PROP. V. Bootc IT. Pnot.. VI. THEOR. If u st. Um; be bisecti;d and produced to any poiiti, the rectangle contained by the whole line thus produced and the part of it produced, toyether with the square of half the line bisrcted, is equal la ihe square of the st. line which is...
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## Parliamentary Papers, Tom 25

...parallelogram. BOOK II. 7. PROP. VI. — 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 of half the line bisected, is equal to the square of the straight line which...
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## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...square root, z + 2=4 .-.x =2. PROP. 6. — THEOR. If a st. 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 of half the line bisected, is equal to the square of the st. line which is...
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## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - Liczba stron: 1869
...is, to divide it into two equal parts. 3. 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 which...
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## The examination papers as set for the preliminary literary examination of ...

...straight line are parallel to one another. 5. 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 of half the line bisected, is equal to the square of the straight line which...
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