Geometrical Exercises for BeginnersMacmillan, 1882 - 203 sider |
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Side 8
... CF , AD are equal , being the opposite sides of a rectangle ; hence BC . AD is double the area of ABC , or , the area of the triangle ABC is equal to BC . AD . EXAMPLES . 1. Prove that the triangle AFE in Prop 8 GEOMETRICAL EXERCISES.
... CF , AD are equal , being the opposite sides of a rectangle ; hence BC . AD is double the area of ABC , or , the area of the triangle ABC is equal to BC . AD . EXAMPLES . 1. Prove that the triangle AFE in Prop 8 GEOMETRICAL EXERCISES.
Side 9
... prove . ] 4. An indefinite number of triangles stand upon the same base and between the same parallels ; find the locus of the middle points of their sides . [ It will be found from Prop . 1 that the several middle points lie on a ...
... prove . ] 4. An indefinite number of triangles stand upon the same base and between the same parallels ; find the locus of the middle points of their sides . [ It will be found from Prop . 1 that the several middle points lie on a ...
Side 10
... prove , the analogous theorem to the preceding . 13. If perpendiculars be drawn from any point within an equilateral triangle to the sides ; prove that their sum is con- stant , and is equal to the altitude of the triangle . [ Consider ...
... prove , the analogous theorem to the preceding . 13. If perpendiculars be drawn from any point within an equilateral triangle to the sides ; prove that their sum is con- stant , and is equal to the altitude of the triangle . [ Consider ...
Side 11
... prove that their sum is con- stant . 15. Prove that the rectangle contained by the two sides of a right - angled triangle is equal to the rectangle contained by the hypotenuse and the perpendicular . PROP . 8. The sum of the internal ...
... prove that their sum is con- stant . 15. Prove that the rectangle contained by the two sides of a right - angled triangle is equal to the rectangle contained by the hypotenuse and the perpendicular . PROP . 8. The sum of the internal ...
Side 12
... prove that it must have eleven sides . Prove that there are sixteen right angles in a decagon . 4. Prove that the sum of the internal angles of any polygon can never be an odd number of right angles . PROP . 9. If the sides of a polygon ...
... prove that it must have eleven sides . Prove that there are sixteen right angles in a decagon . 4. Prove that the sum of the internal angles of any polygon can never be an odd number of right angles . PROP . 9. If the sides of a polygon ...
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Geometrical Exercises: For Beginners (1882) Samuel Constable Ingen forhåndsvisning tilgjengelig - 2008 |
Geometrical Exercises: For Beginners (1882) Samuel Constable Ingen forhåndsvisning tilgjengelig - 2008 |
Vanlige uttrykk og setninger
AD² angle BAC angle BCD angle equal Assistant-Master base angles base BC BD² Bisect Cambridge centre chord circumference circumscribing circle Clifton College Conic Sections Consider Prop construct Crown 8vo draw ELEMENTARY TREATISE English equal to half escribed circle Eton College Extra fcap Fellow of St find the locus fixed point GEOMETRY given base given circle given difference given ratio given square given straight line Given the base given vertical angle GRAMMAR GREEK half a right half the given Hence HISTORY hypotenuse inscribed internal bisector intersection isosceles J. P. MAHAFFY John's College late Fellow LATIN Let ABC Mathematical meet middle point nine-point circle numerous Illustrations Owens College Oxford parallel perpendicular perpendicular to BC Professor prove quadrilateral R. C. JEBB radius rectangle rectangle contained right angle right-angled triangle School segment semicircle tangent triangle ABC Trinity College vertex W. K. CLIFFORD
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