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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 of half the line bisected, is equal to the square of the straight line which is made... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 83
by Euclides - 1871
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...on the other two sides of it; the angle contained by these two sides is a right angle. 5. If a right line be bisected, and produced to any point ; the...the part of it produced, together with the square of half the line bisected, is equal to the square of the right line which is made up of the half and...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...straight lines, and the other their difference, is equal to twice the squares of the same lines. LIV. * 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...
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The English Journal of Education, Volumes 11-13

Education - 1857 - 1266 pages
...To a given straight line apply a rectangle equal to a given rectilineal figure. SECTION II. — 1. If a straight line be bisected and produced to any point, the squares of the whole une produced and the part of it produced arc together double of the squares of...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...quadrilateral figuro whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP. VI. — If a straight line be bisected and produced to any...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...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...then z2 +4z+4= 12 + 4= 16 ; extracting the square root, z + 2=4 .-.x =2. PROP. 6. — THEOR. If a st. line be bisected and produced to any point, the rectangle...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 made up of the half and...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...following equations (1) f+f_=l V ; a T3 4 2 (2) (#-5) (x-2) -(x-5) (2x-5) + (x+1) (sc-2) =0 Euclid. 1. If a straight line be bisected, and produced to any...rectangle contained by the whole line thus produced, together with the square of half the line bisected, is equal to the square of the straight line which...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858 - 134 pages
...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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...other. 2. Straight lines which are parallel to the same straight line are parallel to each other. 3. If a straight line be bisected and produced to any...line bisected, is equal to the square on the straight Jine which is made up of the half and the part produced 4. Upon the same straight line, and upon the...
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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860 - 186 pages
...The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. PROP. VI. — If a straight line be bisected and produced to any...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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