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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. "
Elements of Plane Geometry According to Euclid - Σελίδα 9
των Andrew Bell - 1837 - 240 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 σελίδες
...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...

The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...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...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 580 σελίδες
...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...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...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...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...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...

A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 σελίδες
...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...

Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...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,...

Annual Report

1876 - 710 σελίδες
...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...




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