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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... "
Solutions of the Cambridge Problems: From 1800 to 1820 - Side 654
av John Martin Frederick Wright - 1825 - 653 sider
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850 - 790 sider
...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, Volum 4

1850 - 488 sider
...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 sider
...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, Volum 5

1851 - 502 sider
...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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Annual Report of the Commissioners ...

1851 - 382 sider
...circles equal cords divide the circumference into parts which are equal each to each, 3. If two cords of a circle cut one another, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other, ...... 4. What do you mean...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 sider
...containing an angle equal to the given angle d. Which was to be done. PROPOSITION XXXV. — THEOREM. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. LET the two straight lines aС, bd, within the circle ab С d, cut one another in the point e ; the...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 sider
...ABC, containing an angle equal to the given angle D. "Which was to be done. PROPOSITION XXXV. THEOR. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point K ; the rectangle...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...circle ABC containing an angle equal to the given angle D. Which was to be done. PROP. XXXV. THEOREM. If two straight lines within a circle cut one another,...rectangle contained by the segments of one of them is egual to the rectangle contained by the segments of the other. Let the two straight lines AC, BD, within...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 sider
...the same, whatever chord (AB) be drawn through P ; .-.if two chords cut one another in any point P, the rectangle contained by the segments of one of them is equal to that contained by the segments of the other. Proposition XXXVI. — Let В be any point without a (.•ircle...
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National Society's Monthly Paper

1855 - 264 sider
...segment of a circle are equal to one another; 10. 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. ALGEBRA. (Second Section.) 1. Simplify a-[6 + e-{d+6-(e+26-fl+d}}] 2. If *=-— show that (x+a) (x+$)+(c-*)...
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