Geometrical Exercises for BeginnersMacmillan, 1882 - 203 sider |
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Side 73
... ratio ( VI . 10 ) . Draw SK parallel to LM , and produce it indefinitely : this is the required locus . For , evidently ( VI . 4 ) , every straight line PQ , meeting SK in R , is divided , so that PR : PQ :: PS : PT :: the given ratio ...
... ratio ( VI . 10 ) . Draw SK parallel to LM , and produce it indefinitely : this is the required locus . For , evidently ( VI . 4 ) , every straight line PQ , meeting SK in R , is divided , so that PR : PQ :: PS : PT :: the given ratio ...
Side 74
... ratio ; and ( 17 ) DA . DB = DF . DH , the given rectangle , since the angles DFA , DBH are , clearly , each right . EXAMPLE . Given , of a triangle , the base , the rectangle contained by the sides , and the ratio of the sides ...
... ratio ; and ( 17 ) DA . DB = DF . DH , the given rectangle , since the angles DFA , DBH are , clearly , each right . EXAMPLE . Given , of a triangle , the base , the rectangle contained by the sides , and the ratio of the sides ...
Side 76
... ratio : to find the lines . EH B F Take any straight line AB , and divide it internally in E , and externally in F , so that AE : EB :: AF : FB , so as the given ratio ( VI . 10 ) . If AE2 - EB ' is equal to the given difference of the ...
... ratio : to find the lines . EH B F Take any straight line AB , and divide it internally in E , and externally in F , so that AE : EB :: AF : FB , so as the given ratio ( VI . 10 ) . If AE2 - EB ' is equal to the given difference of the ...
Side 77
... ratio ; since D is a point both on the perpendicular DH , and on the semicircle EDF . PROP . 64. Given the sum of the squares of two lines , and their ratio : to find the lines . A B E F Take AB equal to a side of the square that is ...
... ratio ; since D is a point both on the perpendicular DH , and on the semicircle EDF . PROP . 64. Given the sum of the squares of two lines , and their ratio : to find the lines . A B E F Take AB equal to a side of the square that is ...
Side 78
Samuel Constable. that is , in the given ratio ; and ( I. 47 ) the sum of their squares is equal to the given square on AB . PROP . 65. Given , of a triangle , the base , vertical angle , and area to construct it . P B Let AB be the ...
Samuel Constable. that is , in the given ratio ; and ( I. 47 ) the sum of their squares is equal to the given square on AB . PROP . 65. Given , of a triangle , the base , vertical angle , and area to construct it . P B Let AB be the ...
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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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