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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... "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Σελίδα 36
των Royal Military Academy, Woolwich - 1853
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 σελίδες
...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...half the line bisected, is equal to the square of the line made up of the half and the part produced. Let AB (Fig. 41) be bisected in C, and produced to...

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 346 σελίδες
...squares / £ / It E Cr I PROP. VI THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...the square of half the line bisected, is equal to t/u; square of the straight line which is made up of the half and the part produced. Let the straight...

Parliamentary Papers, Τόμος 25

Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...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,...which is made up of the half and the part produced. 8. PROP. XII. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 σελίδες
...straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, together with the square of half the line...which is made up of the half and the part produced. 2. Draw a straight line from a given point, either without or in the circumference, which shall touch...

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

Euclides - 1858 - 248 σελίδες
...to the less. Psts. 1 and 2. DEM. — 6. II. If a st. line be bisected and produced to any point, the rectangle contained by the whole line thus produced...half the line bisected, is equal to the square of the st. line which is made up of the half and of the part produced. 47. I. Iu any rt. angled triangle,...

Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 3

1858 - 398 σελίδες
...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 witli the square of half the line bisected, is equal to the square of the straight line which is made...

The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 422 σελίδες
...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 line and that part. In obtuse angled triangles, if a perpendicular be drawn from either of the...

Skeleton propositions &c. of Euclid, books i and ii, with ..., Τόμος 2

Euclides - 1858 - 136 σελίδες
...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...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 σελίδες
...also themselves equal and parallel. 2. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced...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...

Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 σελίδες
...parallelogram. BOOK II. 7. PEOP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced,...which is made up of the half and the part produced. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute...




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