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" Wherefore from the given circle ABC has been cut off the segment BAC, containing an angle equal to the given angle DQEP PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 83
by Euclides - 1816 - 528 pages
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846
.../_ = given ZC . PROP. LXII. THEOR. 35. 3Eu. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...contained by the segments of the other. Let the two str. lines AC, BD cut each other in E within 0 ABCD: then AE . EC = BE. ED. Fig. 1. Kg- 2 - D Kg. 4....
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The London University Calendar

London univ - 1846
...two straight lines within a circle cut one another, the rectangle contained by the segments of any one of them is equal to the rectangle contained by the segments of the other. 6. When are rectilineal figures said to be similar ? Show that if two triangles are equiangular, they...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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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Minutes of the Committee of Council on Education, with Appendices, Volume 2

Great Britain. Committee on Education - 1848
...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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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...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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Report of the Committee of Council on Education (England and Wales ..., Issue 2

Great Britain. Council on Education - Education - 1848
...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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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850
...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, Volume 4

Education - 1850
...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 - Education - 1851
...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 one 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, Volume 5

Education - 1851
...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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