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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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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1882 - 512 pages
...have won by the same number of seconds. Compare A's speed with B's. (25.) Section B. — Geometry. 27. If a straight line be bisected and produced to any...contained by the whole line thus produced and the part produced, together with the square on halt the line bisected, is equal to the square on the straight...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...with the square on the line between the points of section, is equal to the square on half the line. 3. 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...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...two right angles. Enunciate and prove the corollaries to this proposition. Trisect a right angle. 3. 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 Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...described upon the other. two sides of it, the angles contained by these two sides is a right angle. 7. 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...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...the squares on the two lines. Sqq. on AD, DB = twice sqq. on AC, CD. Euclid's II. 9 and 10. II. 10. If a straight line be bisected and produced to any point, the square on the whole line thus produced, and that on the part produced, are double of the squares on...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...postulates. 2. Parallelograms on the same base, and between the same parallels are equal to one another. 3. If a straight line be bisected, and produced to any point, the squares of the whole line thus produced, and of the part of it produced, are together double of the...
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The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...and rect AD'DB, Л twice the rect. AB'BD = sqs. on DB and DC, ie twice the rect. AB'BD = 1 QED В 3- If a straight line be bisected, and produced to any...produced, together with the square on half the line bisect e3, is equal to the square on the straight line which is made up of the half and the part produced....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...J> 2 B. L PROPOSITION VI. THEOREM. If a straight line ie bisected and produced to any point, thc rectangle contained by the whole line thus produced...bisected, is equal to the square on the straight line ichich is inade up of the half and the part produced. -B M H Let the st. line AB be bisected in C and...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...the difference of its distances from two fixed lines being constant. 12. Produce a given line so that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square on the given line. 13. If the square on the perpendicular from...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...squares on AD, DB are double of the squares on AC, CD. EUCLID'S ELEMENTS, PROPOSITION 10. THEOREM. 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...
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