 | Euclid - 1892 - 460 páginas
...shew that AF also bisects the angle DFE. 3. Divide an angle into four equal parts. PROPOSITION 10. PROBLEM. To bisect a given finite straight line, that...it is required to divide it into two equal parts. Constr. On AB describe an equilateral triangle ABC, I. 1. and bisect the angle ACB by the straight... | |
 | Euclid, John Bascombe Lock - 1892 - 188 páginas
...has been drawn, etc. QEF Example. Divide a given straight line into any given number (say five) of equal parts. Let AB be the given straight line ; it is required to divide AB into five equal parts. Construction. From A draw a line AC making an angle of about half a right... | |
 | Henry Martyn Taylor - 1893 - 486 páginas
...parallelograms ,fec. EXERCISE. PROPOSITION 30. To divide a given straight line in extreme and mean ratio. Let AB be the given straight line: it is required to divide it in extreme and mean ratio. CONSTRUCTION. Divide AB at the point C into two parts so that the rectangle... | |
 | Henry Martyn Taylor - 1895 - 708 páginas
...parallelograms &c. EXERCISE. PROPOSITION 30. To divide a given straight line in extreme and mean ratio. Let AB be the given straight line: it is required to divide it in extreme and mean ratio. CONSTRUCTION. Divide AB at the point C into two parts so that the rectangle... | |
 | Thomas Aloysius O'Donahue - 1896 - 186 páginas
...magnitude of the third can be found. Let BA = 16 and AC = 1 2 to find BC. HI Problems I. To bisect a given straight line, that is, to divide it into two equal parts. Let AB (Fig. 48) be the given line. From the centres A and AE Fio. 49. B and with any radius — greater than... | |
 | George Albert Wentworth - 1896 - 296 páginas
...J PF. (g 232) .-. GP: PF=3 : 5. Ex. 274. To divide a line into three parts proportional to 2, f, J. Let AB be the given straight line. It is required to divide AB into parts proportional to 2, J, and J. ^^ n CONSTRUCTION. Divide AB into parts proportional to... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...bisects the angle DFE. 3. Divide an angle into four equal parts. PROPOSITION 10. PROBLEM. To Useel a given finite straight line, that is, to divide it...the given straight line. It is required to divide AB into two equal parts. Constr. On AB describe an equilateral triangle ABC; I. 1. and bisect the angle... | |
 | Euclid, Rupert Deakin - 1903 - 218 páginas
...the angle EAF. Therefore the given angle BAC is bisected by the straight line AF. QEF PROP. 19.— Problem.— To bisect a given finite straight line;...divide it Into two equal parts. Let AB be the given finite straight line. It is required to divide AB into two equal parts. Construction. — On AB describe... | |
 | James McMahon - 1903 - 380 páginas
...describe a circle cutting the given line in the points P, P'. Bisection of line-segment. 70. PROBLEM 3. To bisect a given finite straight line ; that is, to divide it into two equal parts. Let AA' be the given line which it is required to bisect. \ \ x B 7*^' With A as center, and any convenient... | |
 | Euclid - 1904 - 488 páginas
...? 2. In the same figure, shew that AF also bisects the angle DFE. PROPOSITION 10. PROBLEM. To Usect a given finite straight line, that is, to divide it...the given straight line. It is required to divide AB into two equal parts. Constr. On AB describe an equilateral triangle ABC; I. 1. and bisect the angle... | |
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To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts. 
