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 Teokset Teokset 1 - 10 / 14 haulle ABDClie any parallelogram, and if a circle be described passing through the point....
ABDClie any parallelogram, and if a circle be described passing through the point A, and cutting the sides AB, AC, and the diagonal AD, in the points F, G, H respectively, shew that AB.AF+AC.AG = AD.AH.
Alma Mater, Or, Seven Years at the University of Cambridge - Sivu 69
tekijä(t) John Martin Frederick Wright - 1827
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 436 sivua
...necessary, shall make with one another an angle equal to a given rectilineal angle. PROP. XXXV. (LIX.) To produce a given straight line so that the rectangle, under the given straight line, and the part of it produced, shall be equal to a given square. (LX.) If through any...

New Series of The Mathematical Repository, Nide 4

Thomas Leybourn - 1819
....»«')-'/(«) _ e V(bx") and find -v and y from the following *' _ X' + /— >* = 84 *' + *';'+>' = 49 3. Produce a given straight line so that the rectangle...continued fractions a series of fractions converging to y/35. Prove that the third term of the equation x* — pi' -f qx — r = o, cannot be taken away if...

New series of The mathematical repository, Nide 4

Thomas Leybourn - 1819
...+ b *"] ~ * (д) = ct 1 • (**")• and find x and у from the following *• + *•/'+>* = 49 g. Produce a given straight line so that the rectangle...may equal the square of the part produced. 4. Find hy the method of continued fractions a series of fractions converging to y'ß. 5. Prove that the third...

A supplement to the Elements of Euclid

Daniel Cresswell - 1819
...i EFG = / YLX ; and it is posited in the given point F. Therefore, &c. PROP. LXVII. 80. PROBLEM. To produce a given straight line so that the rectangle, under the given straight Unet and the part of it produced, shall be equal to a given square. A SUPPLEMENT TO THI required...

Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

1821 - 425 sivua
...FOURTH CLASSES. 1. Extract the square root of 2. Solve the equation and find x and y from the following 3. Produce a given straight line so that the rectangle...continued fractions a series of fractions converging to \/3. 5. Prove that the third term of the equation a? — px* -\-qx- r=O, cannot be taken away if p*...

Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827
...square root of 2. Solve the equation \fa + bx* — */ a - = c, and find x and y from the following 3. Produce a given straight line, so that the rectangle...continued fractions a series of fractions converging to ^3". 5. Prove that the third term of the equation a »ti:r.,jp*nl!fl t* the piaaea. >•' if l}.-j...

The Elements of Analytical Geometry ...

John Radford Young - 1833 - 288 sivua
...the 3 sides are 3V(| a2) = 18; 4V(|a2) = 24; and PROBLEM XXXVJ. To produce a given straight line (a) so that the rectangle under the given line and the whole line produced, may be equal to the square of the part produced. Let x = the part produced, then per question (x -\- a)...

The Elements of Analytical Geometry ...

John Radford Young - 1835 - 288 sivua
...3 sides are 3V(£ a2) = 18; 4V(£a2) = 24; and PROBLEM XXXVI. To produce a given straight line (a) so that the rectangle under the given line and the whole line produced, may be equal to the square of the part produced. Let x = the part produced, then per question (x -f- a)...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...be two such points ; if equal, there may be only one ; if less, the problem may be impossible. 90. Produce a given straight line so that the rectangle...produced may equal the square of the part produced. 91- To produce a given straight line, so that the rectangle contained by the whole line thus produced,...

THE ELEMENTS OF ANALYTICAL GEOMETRY; COMPREHENDING THE DOCTORINE OF THE ...

J.R. YOUNG - 1850
...sides are 3 V(£ «2) = 18; 4V(F«2) = 24i and PROBLEM XXXVI. To produce a given straight line (a) so that the rectangle under the given line and the whole line produced, may be equal to the square of the part produced. Let # — the part produced, then per question (x -{-...