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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Σελίδα 55
των Robert Simson - 1775 - 520 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 340 σελίδες
...denoted by a and b ; then, PROP. V. THEOR. If a straight linebe divided into two equal parts, andalsoinlo two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...are likewise squares. PROP. V. THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. EUCLID S...

Report of the Committee of Council on Education (England and Wales ..., Τεύχος 1

Great Britain. Council on Education - 1848 - 532 σελίδες
...containing the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts together with the square of the line between the points of section is equal to the squares of half the line. 2. In any...

Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...containing the right angle. SECTION III. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts together with the square of the line between the points of section is equal to the square of half the line. 2. In any...

Minutes of the Committee of Council on Education: with Appendices, Τόμος 1

Great Britain. Committee on Education - 1848 - 514 σελίδες
...containing the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts together with the square of the line between the points of section is equal to the squares of half the line. 2. In any...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the...

The Calendar of King's College, London

1850 - 400 σελίδες
...either of the interior opposite angles. 2. If a right line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 3. In every...

A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 σελίδες
...bisect the angle of a parallelogram? 3. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 4. Equal...

The English Journal of Education, Τόμος 5

1851 - 502 σελίδες
...to two right angles. SECTION II.—1. If a straight line be divided into two equal parts, and also into two unequal parts : the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 3. The opposite...

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...or 7 and 1.] BOOK II. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the...




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