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" BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to... "
The geometry of the three first books of Euclid, by direct proof from ... - Página 78
por Euclides - 1856
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 páginas
...given rectilineal angle. PROP. XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. PROP. XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of which...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 páginas
...circumference, so as not to cut the circle. 3. Show that if two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. From this proposition deduce the equation to the circle referred to rectangular co-ordinates. SECTION...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volumen2

Great Britain. Committee on Education - 1848 - 606 páginas
...circumference, so as not to cut the circle. 3. Shew that if two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. From this proposition deduce the equation to the circle referred to rectangular co-ordinates. Section...
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Report of the Committee of Council on Education (England and Wales ..., Tema 2

Great Britain. Council on Education - 1848 - 596 páginas
...circumference, so as not to cut the circle. 3. Shew that if two straiuht lines cut one nnother within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. From this proposition deduce the equation to the circle referred to rectangular co-ordinates. Section...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 páginas
...circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another,...segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E : the rectangle contained by AE, EC is equal...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 332 páginas
...ABC containing an angle equal to the given angle D. PROP. XXXV. THEOR. If two straight lines mthin a circle cut one another, the rectangle contained...segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle contained by AE, EC is equal...
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Minutes of the Committee of Council on Education, Volumen1

Great Britain. Committee on Education - 1850 - 790 páginas
...at the circumference upon the same base. 3. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Section 5. 1. Prove that every equiangular triangle is also equilateral. 2. Trisect a right angle....
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The English Journal of Education, Volumen4

1850 - 488 páginas
...upon equal circumferences are equal to one another, whether they be at the centre or circumference. contained by the segments of one of them, is equal to the rectangle contained by the segment of the other. SECTION V. 1. If from a point without a circle there be drawn two straight...
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Report of the Board of Education

Bombay (India : State). Board of Education - 1851 - 768 páginas
...peculiarly to a certain species : thus one of the properties of the circle is that if two chords cut oiie another, the rectangle contained by the segments of...rectangle contained by the segments of the other. The qualities which peculiarly belong to some individuals, and not to others, are called accidents...
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The English Journal of Education, Volumen5

1851 - 502 páginas
...the angle in a semicircle is a right angle. 2. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 3. To describe a square about a given circle. SECTION IV.—1. Triangles and parallelograms of the...
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