 | Geography - 1867 - 964 pages
...of equal parts denoted by the series 6, 12, 24, 48, 96, 192, etc. PROBLEM XII. — To divide a given straight line into any number of equal parts. Let AB be the given straight line. From its extremity A draw the straight line A c, forming with AB the angle CAB, and... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...therefore DE = EF = FD, and hence AE = EF~FB, and AB is trisected. i: (18.) To divide a given finite straight line into any number of equal parts. Let AB be the given straight line. Let AC be any other indefinite straight line making any angle with AB, and in it take... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...; therefore DE = EF = FD, and hence AE = EF=FB, and AB is trisected. (18.) To divide a given finite straight line into any number of equal parts. Let AB be the given straight line. Let AC be any other indefinite straight line making any angle with AB, and in it take... | |
 | Euclides - 1842 - 316 pages
...similarly to AC. QEF NB By a process founded on this proposition, a given straight line may be divided into any number of equal parts. Let AB be the given line, and let it be required to divide it into any number of equal parts. KUC. B. VI. OF GEOMETRY. on AC... | |
 | Nicholas Tillinghast - Geometry, Plane - 1844 - 110 pages
...by. an arc of that number of degrees, &c. 7» BOOK VI. PROBLEMS. PROP. I. PROBLEM. To divide a given straight line into any number of equal parts. Let AB be the given line, and suppose it is required to divide it in seven equal parts. From A, draw the line AC in any direction... | |
 | Charles Davies - Geometrical drawing - 1846 - 254 pages
...perpendiculars OD and OF, and O will be the centre of the circle. 40. How do you divide a given line AB, into any number of equal parts ? Let AB be the given line to be divided. Let it be required, if you please, to divide it into five equal parts. Throughout A,... | |
 | William Pease - 1856 - 108 pages
...base, 2 inches for each of the adjacent sides, and 30° for one of its angles. PROBLEM XIV. To divide a line into any number of equal parts. Let AB be the given straight line, and let it be required to be divided into any number of equal parts (suppose three)... | |
 | Cadmus Marcellus Wilcox - Rifle practice - 1859 - 308 pages
...by its height. The surface of a rectangle is equal to its base, multiplied by its height. PROBLEM. To divide a straight line into any number of equal parts : let AB be the given right A_ 0 M line, to be divided into three equal parts. From the point A, draw the right line AC,... | |
 | Samuel H. Winter - Geometrical drawing - 1859 - 56 pages
...transverse distances at 8 and 4, 6 and 3, or 4 and 2, might have been employed for the bisection. 2. To divide a straight line into any number of equal parts. Let the required number of parts be 9. Make the transverse distance at 9 equal to the given line ; then... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...the process, the equivalent triangle will at last be found. PROBLEM ХХШ. 325. To divide a given straight line into any number of equal parts. Let AB be the given straight line proposed to be divided into any number of equal parts ; for example, six. Through the... | |
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To divide a given finite straight line into any number of equal parts. Let AB be the given straight line. 
