| Robert Potts - 1868 - 434 páginas
...is equal to 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...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 - 588 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...it is 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... | |
| 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 - 236 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,... | |
| 1876 - 710 páginas
...contribute to the greatness of Russia ? EUCLID. 1. Define a line, a square, parallel straight lines. 2. To bisect a given finite straight line, that is, to divide it into two equal parts. 3. To make a parallelogram given, which shall be equal to a given triangle, and hare an angle equal... | |
| Robert Potts - 1876 - 446 páginas
...is equal to 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, that is, to divide it into tteo tytai parti. Let AB be the given straight line. It is required to divide AB into two equal parts.... | |
| 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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