 | Euclides - 1848 - 52 pages
...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... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...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... | |
 | Great Britain. Committee on Education - 1848 - 606 pages
...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... | |
 | Great Britain. Council on Education - Education - 1848 - 596 pages
...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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...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... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...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.... | |
 | Education - 1850 - 488 pages
...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... | |
 | Bombay (India : State). Board of Education - Education - 1851 - 768 pages
...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... | |
 | Education - 1851 - 502 pages
...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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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... 
