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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... "
The school edition. Euclid's Elements of geometry, the first six books, by R ... - Side 83
av Euclides - 1864
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853 - 334 sider
...was to be proved. PEOP. VI. THEOE. If a straight line be bisected, and produced to any point : then the rectangle contained by the whole line thus produced...the part of it produced, together with the square of half the bisected line, shall be equal to the square of the line, which is made up of the half and...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 sider
...difference. PROPOSITION VI. THEOR. If a straight line be bisected, and produced to any point, lJie rectangle contained by the whole line thus produced,...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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The Elements of Euclid: With Many Additional Propositions ..., Del 1

Euclid - 1853 - 176 sider
...and the produced part, to• gether with the square on <• half the line bisected, is equal in area to the square on the straight line which is made up of the half and the produced part. 11.10.. . II. 11, cor. II. 4, cor. 2.. . II. 1. . II. l.cor. II. 5, schol. 2. . II....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 178 sider
...to the rectangle contained by their sum and difference. PROPOSITION VI. — THEOREM. If a straight line be bisected, and produced to any point, the rectangle contained by the whqle line thus produced, and the part of it produced, together with the square of half the line bisected,...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - 1854 - 266 sider
...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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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854 - 282 sider
...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 - 262 sider
...contained by the sum and the difference of the hypotenuse and the other leg. PEOP. VI. THEOBEM ya ttraight 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 straight Kne which is made up of the half...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 sider
...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 is made up of the half...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 sider
...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 sider
...unequal lines AC, CD is equal to the rectangle contained by their sum and difference. LI. If a straight 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 line made up of the half and the part produced....
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