Geometrical Exercises for BeginnersMacmillan, 1882 - 203 sider |
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Side 48
... ratio : to find the lines . A L M E B F H Let LM be the given difference of the lines , and AF AE their given ratio . If EF is equal to LM , clearly , AF , AE are the required lines . If not , draw any line EH , equal to LM , and making ...
... ratio : to find the lines . A L M E B F H Let LM be the given difference of the lines , and AF AE their given ratio . If EF is equal to LM , clearly , AF , AE are the required lines . If not , draw any line EH , equal to LM , and making ...
Side 49
... are equal ; therefore BD is equal to the given line LM : and since BE , FD are parallel , AD : AB :: AF : AE ( VI . 4 ) , that is , in the given ratio . C. G. 4 50 ON LOCI , WITH THEIR APPLICATION TO THE CONSTRUCTION FOR BEGINNERS . 49.
... are equal ; therefore BD is equal to the given line LM : and since BE , FD are parallel , AD : AB :: AF : AE ( VI . 4 ) , that is , in the given ratio . C. G. 4 50 ON LOCI , WITH THEIR APPLICATION TO THE CONSTRUCTION FOR BEGINNERS . 49.
Side 59
... ratio of the sides of a triangle : to find the locus of the vertex . M B K E F Divide it ( VI . 10 ) in- Let BC be the given base . ternally at E , and externally at F , so that AE : EC :: AF : FC :: the given ratio . Upon EF describe a ...
... ratio of the sides of a triangle : to find the locus of the vertex . M B K E F Divide it ( VI . 10 ) in- Let BC be the given base . ternally at E , and externally at F , so that AE : EC :: AF : FC :: the given ratio . Upon EF describe a ...
Side 60
... ratio . PROP . 52. The bases of two triangles are given in magnitude and position , to find the locus of their common vertex when the sum of their areas is also given . D E B Let BC , ED be the two fixed bases of the triangles ABC , EDA ...
... ratio . PROP . 52. The bases of two triangles are given in magnitude and position , to find the locus of their common vertex when the sum of their areas is also given . D E B Let BC , ED be the two fixed bases of the triangles ABC , EDA ...
Side 72
... PR . PQ is equal to a given square ; ( 2 ) where PR : PQ in a given ratio . L R S T M Fig.1 K R S T M ( 1 ) Let ( fig . 1 ) PQ be any straight line divided in R , so that PR . PQ is equal to a given 72 GEOMETRICAL EXERCISES.
... PR . PQ is equal to a given square ; ( 2 ) where PR : PQ in a given ratio . L R S T M Fig.1 K R S T M ( 1 ) Let ( fig . 1 ) PQ be any straight line divided in R , so that PR . PQ is equal to a given 72 GEOMETRICAL EXERCISES.
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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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