 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 - Sida 69efter John Martin Frederick Wright - 1827Obegränsad förhandsgranskning - Om den här boken
 | Daniel Cresswell - 1817 - 454 sidor
...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... | |
 | Thomas Leybourn - 1819 - 430 sidor
....»«')-'/(«) _ 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... | |
 | Thomas Leybourn - 1819 - 430 sidor
...+ 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... | |
 | Daniel Cresswell - 1819 - 486 sidor
...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... | |
 | University of Cambridge - 1821 - 254 sidor
...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*... | |
 | John Martin F. Wright - 1827 - 632 sidor
...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... | |
 | John Radford Young - 1833 - 310 sidor
...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)... | |
 | John Radford Young - 1835 - 298 sidor
...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)... | |
 | Euclides - 1845 - 546 sidor
...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,... | |
 | John Radford Young - 1850 - 294 sidor
...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 -{-... | |
| |
