 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...rectangle contained by the whole and one of the parts may be equal to the square on 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 may be equal to the square... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...rectangle contained by the whole and one of the parts may lie equal to the square on the other part. Let AB be the given straight line : it is required to divide it into two parts, to that the rectangle contained by the whole and one of the parts may be equal to the square... | |
 | Robert Potts - 1868 - 434 pages
...the angle EAF. (I. 8.) Wherefore the angle BA C is bisected by the straight line A FQEF 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.) and bisect the angle... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...with an /_ of a different size and in a different position, aa in the annexed figure. PROPOSITION X. To bisect a given finite straight line, that is, to divide it into two equal parts. For the construction in this proposition we must be able, — 1. On a given finite right line to construct... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...angle BAC is bisected by the straight line AF. X. — To bisect a given finite straight line, that is, divide it into two equal parts. Let AB be the given...required to divide it into two equal parts. Describe on it an equilateral triangle ABC, and bisect the angle ACB by the straight line CD. AB is cut into... | |
 | Euclides - 1874 - 342 pages
...EA F (I. 8). Wherefore 4. The angle BAC is bisected by the straight line AF. QEF PROPOSITION 10.— Problem. To bisect a given finite straight line, that...the given straight line. It is required to divide AB into two equal parts. Construction. Upon AB describe the equilateral triangle ABC (I. 1), and bisect... | |
 | Edward Atkins - 1874 - 428 pages
...rectilineal angle BAC is bisected by the straight line AF. QEF Proposition 10. — Problem. PROPOSITIONS. Let AB be the given straight line. It is required to divide it into two equal parts. CONSTRUCTION.- — Upon AB describe the equilateral triangle ABC (I. 1). Bisect the angle ACB by the... | |
 | Euclides - 1874 - 120 pages
...done, as for example : " Any two sides of a triangle are together greater than the third side," and " To bisect a given finite straight line, that is, to divide it into two equal parts." These statements form what is called the general enunciation of the proposition, after which comes... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...to AB at the point G. (I. Def. 8.) QED PROP. IX.— PROBLEM. (Euc. I. 10.) To bisect a given Jlnite straight line; that is, to divide it into two equal parts. Let AB be the given finite straight line ; it is required to bisect it. Describe (I. 1) on it an equilateral triangle ACB,... | |
 | Henry Major - 1876 - 784 pages
...historical interest, not far from yonr home, and narrate some portion of its story. Euclid. — 1. To bisect a given finite straight line, that is, to divide it into two equal parts. 2. To make a triangle of which the sides shall be equal to three given straight lines, but any two... | |
| |
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. 
