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 Bøker Bok AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 19
av W J. Dickinson - 1879 - 36 sider
Uten tilgangsbegrensning - Om denne boken ## A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 173 sider
...of algebraical equations, or any demonstration other than Euclid's ? 3. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Shew that in Euclid's figure four...
Uten tilgangsbegrensning - Om denne boken ## Papers for the schoolmaster, Volum 3

1867
...the line between the points of section. , Illustrate this by Algebra. 2. Divide a given straight line into two parts, so that, the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Shew how to represent the square root...
Uten tilgangsbegrensning - Om denne boken ## THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...AC2) + 4AE2 + 4AF2, = 4BC2 + AB2 + AC2, = 4BC2 + BC2, - 5BC8. 1849. (A). Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. (ii. 11.) (B). Shew that in Euclid's...
Uten tilgangsbegrensning - Om denne boken ## The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...equal to the square of the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Upon AB describe* the square ABDC;...
Uten tilgangsbegrensning - Om denne boken ## Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852
...angle. Is this proposition included in any more general one ? (2.) To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part. Can this be solved arithmetically...
Uten tilgangsbegrensning - Om denne boken ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...equal to the square of the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part. Upon AB describe (1. 46.) the square...
Uten tilgangsbegrensning - Om denne boken ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...Wherefore, if a straight line, &c. QED PROPOSITION XI. — PROBLEM. To divide a given straigM line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. LET ab be the given straight line...
Uten tilgangsbegrensning - Om denne boken ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...AC, CD. Wherefore, if a straight line, etc. QED PROPOSITION XI. PROB. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Upon AB describe (46. i.) the square...
Uten tilgangsbegrensning - Om denne boken ## Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...the remarks at the end of this book. PROPOSITION XI.— PROBLEM. To divide a given straight line (AB) into two parts, so that the rectangle contained by the whole, and от of the parts, shall be equal to the square of the other part. From A draw AC perpendicular and...
Uten tilgangsbegrensning - Om denne boken ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...double of the equarea of A С and С D together. PROP. XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square oflhe other part. Let AB be the given straight line....
Uten tilgangsbegrensning - Om denne boken