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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...
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Seite 52
von Euclides - 1853
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## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 340 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...line AB be bisected in C, and produced to the point D ; ihe rectangle AD.DB together with the square of CB, is equal to the square of CD. Upon CD describe...
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## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 Seiten
...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 and the part produced. Let the straight line AB he bisected at C, and produced to the point D. The rectangle AD.DB, together with the square of CB,...
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## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 318 Seiten
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the...line AB be bisected in C, and produced to the point D ; tb<; squares of AD, DB are double of the squares of AC, CD. From the point C draw (Prop. 11.1.) CE...
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## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 Seiten
...straight line AB (Fig. 40) be divided into two equal parts at the point C, and into two unequal parts at the point D; the rectangle AD, DB, together with the square of CD, is equal to the square of C B. Let CEFB be the square on CB, BE its diameter ; DHG, parallel to...
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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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## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 Seiten
...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. 2. Draw a straight line from a given point, either without or in the circumference, which shall touch...
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## Parliamentary Papers, Band 25

Great Britain. Parliament. House of Commons - 1858 - 690 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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## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 Seiten
...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 the part produced. CONS.— 46. I., Pst. 1, and 31. I. DBM.— 43. I., Ax. 2, 36. I., Ax 1, Def. 30. I., Cor. 4. II. Let...
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## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 Seiten
...part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 3. On the same straight line and on the same side of it there cannot be two similar segments of circles...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 Seiten
...part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the...the straight line AB be bisected in C, and produced tfl^the point D Then the rectangle AD, DB, together with the square on CB, shall be equal to the square...
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