| Euclid, Isaac Todhunter - 1867 - 426 páginas
...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 - 1867 - 424 páginas
...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 páginas
...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 - 1872 - 216 páginas
...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 - 1873 - 592 páginas
...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 páginas
...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 páginas
...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 páginas
...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.) - 1874 - 234 páginas
...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 páginas
...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... | |
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