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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... "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 58
von Euclides - 1862
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The English Journal of Education, Band 4

1850 - 488 Seiten
...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 and the part produced. SECTION IV. 1. If two circles cut each other they shall not have the same centre. '2. In equal circles,...
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Papers for the Schoolmaster, Band 2

1852 - 316 Seiten
...whole line thus 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 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 - 152 Seiten
...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 straight line AB be bisected in C, and produced to the point D; the rectangle AD, DB, together...
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The Elements of Euclid: With Many Additional Propositions ..., Teil 1

Euclid - 1853 - 176 Seiten
...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 - 176 Seiten
...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 and the part produced. LET the straight line ab he bisected in С, and produced to the point d > the rectangle ad, db, together...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 Seiten
...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 and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the rectangle AD, DB, together...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 Seiten
...of it produced, together with the square of 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 bisected in C, and produced to the point D; the rectangle AD, DB, together...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Bücher 1

Euclides - 1853 - 334 Seiten
...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 produced. Let the straight line AB be bisected in c and produced to D. Then the rectangle AD, DB together with...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 Seiten
...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 the part produced. Prove this proposition algebraically. 6. If any two points be taken in the circumference of a circle,...
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Parliamentary Papers, Band 25

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