 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...parts, into eight, into sixteen, and so on. PROP. X. PROB. To bisect a given finite straight line, theft is, to divide it into two equal parts. Let AB be the...required to divide it into two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle ACB by the straight, line... | |
 | Euclides - Geometry - 1853 - 176 pages
...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 ; 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... | |
 | Euclides - Geometry - 1853 - 334 pages
...the straight line AF. Which was to be done. PEOP. X. PEOB. To bisect a given finite straight line, ie to divide it into two equal parts. Let AB be the given finite straight line. It is required to bisect AB, ie to divide it into two equal parts. On AB describe... | |
 | John Playfair - Geometry - 1855 - 334 pages
...bisect (9. 1.) the angle ACB by the straight line CD. AB is cut into two equal parts in the point D. Let AB be the given straight line ; it is required to divide it into two equal paris. Because AC is equal to CB, and CD common to the two triangles ACD, BCD : the two sides AC. CD,... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...falls on B- Then, f with a pen, or pencil, draw the ' ~ line AB- ^ . B PROBLEM IVTo bisect a given line : that is, to divide it into two equal parts\ Let AB be the given line to be divided- With A as a centre, and radius greater than half of AB, describe an arc IFE- Then,... | |
 | Euclides - 1855 - 270 pages
...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. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of tLe parts, shall be equal... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...the same ratio which the other sides of the triangle have to one another. SECOND DIVISION.— (B.) 1. To bisect a given finite straight line, that is, to divide it into two equal parts. 2. If one side of a triangle be produced, the exterior angle is greater than either of the interior... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...parts, such that ihe greater part may be a mean proportional between the whole line and the other part. Let AB be the given straight line ; it is required to divide it into two parts at the point F, such that AB : AF : : AF : FB. At the extremity of the line AB, erect the perpendicular... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...Afternoon Paper. REV. WN GRIFFIN, MA EUCLID. {Credit will be given for clearness of arrangement.] 1. To bisect a given finite straight line, that is, to divide it into two equal parts. 3. If a straight line be bisected and produced to any point, the rectangle contained by the whole line... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the angle EAF. (I. 8.) "Wherefore the angle BA C is bisected by the straight line AF. QEF PROPOSITION X. PROBLEM. To bisect a given finite straight line,...the given straight line. It is required to divide AB into two equal parts. Upon AB describe the equilateral triangle ABC; (I. 1.) c DB and bisect the... | |
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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. 
