| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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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