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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... "
The first six books of the Elements of Euclid, with numerous exercises - Seite 38
von Euclides - 1853 - 147 Seiten
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Papers for the Schoolmaster

1852
...straight line bo 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. ANSWERS TO THE EXAMINATION PAPER ON SCHOOL MANAGEMENT* (CONTINUED FROM NO. XVIII.) II. DISCIPLINE....
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...THEOR. 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 eqaul to the square of the straight line which is made up of the half and the part produced. Let the...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...THEOREM. 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...half the line bisected, is equal to the square of tfie straight line which is made up of the half and the part produced. Let the straight line AB be...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New ..., Bücher 1

Euclides - 1853
...a straight line be bisected, and produced to any point : then the rectangle contained by the whole line thus produced and 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 the part...
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The Elements of Euclid: With Many Additional Propositions ..., Teil 1

Euclid - 1853 - 136 Seiten
...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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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 of the whole and that part. Let the straight line AB be divided into any two parts in the point C ;...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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...line bisected, is equal to the square of the straight Kne which is made up of the half and the part produced. Let the straight line AB he bisected at C,...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 Seiten
...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 vp of the whole and thefirst-mentioned part. Let the straight line AB be divided into any two parts...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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...half the line bisected, is equal to the square of the right line which is made up of the half and the part produced. Prove this proposition algebraically....
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...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...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...
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