Modern Methods in Elementary GeometryMacmillan, 1868 - 112 páginas |
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Página 79
... tained by the segments may be equal to a given square . The conditions ? 13. Bisect a given triangle by a straight line drawn through a point in one of its sides . : BOOK IV . PROPORTIONAL LINES . SIMILAR FIGURES . AREA OF FIGURES . 79.
... tained by the segments may be equal to a given square . The conditions ? 13. Bisect a given triangle by a straight line drawn through a point in one of its sides . : BOOK IV . PROPORTIONAL LINES . SIMILAR FIGURES . AREA OF FIGURES . 79.
Página 80
E. M. Reynolds. : BOOK IV . PROPORTIONAL LINES . SIMILAR FIGURES . THEOREM I. PARALLEL straight lines which cut off equal parts from one of two straight lines cut off A also equal parts from the other . Let AB , AC be straight lines ...
E. M. Reynolds. : BOOK IV . PROPORTIONAL LINES . SIMILAR FIGURES . THEOREM I. PARALLEL straight lines which cut off equal parts from one of two straight lines cut off A also equal parts from the other . Let AB , AC be straight lines ...
Página 81
... that AL = m . AD , then AM = m.AF , and also LM = m . DF . L B M Again , if AB contain AD n times , so that AB = n.AD , then AC = n.AF , and BC = n . DF . AL m . AD m Hence AB n . AD 6 PROPORTIONAL LINES . SIMILAR FIGURES . 81.
... that AL = m . AD , then AM = m.AF , and also LM = m . DF . L B M Again , if AB contain AD n times , so that AB = n.AD , then AC = n.AF , and BC = n . DF . AL m . AD m Hence AB n . AD 6 PROPORTIONAL LINES . SIMILAR FIGURES . 81.
Página 82
... then LM is parallel to BC . AL AM LB MC ' THEOREM III . AL AM = AB ̃AC ' The sides about the angles of equiangular triangles are proportional . B ' да C " Let ABC , A'B'C ' be equiangular triangles . Then 82 ELEMENTARY GEOMETRY .
... then LM is parallel to BC . AL AM LB MC ' THEOREM III . AL AM = AB ̃AC ' The sides about the angles of equiangular triangles are proportional . B ' да C " Let ABC , A'B'C ' be equiangular triangles . Then 82 ELEMENTARY GEOMETRY .
Página 83
... AB : A'B ' AC : A'C ' , these triangles shall be equiangular . = A 44 B B B ' C " Apply the triangle ABC to the triangle A'B'C ' , so that the point A may be on A ' , and 6-2 PROPORTIONAL LINES . SIMILAR FIGURES . 83.
... AB : A'B ' AC : A'C ' , these triangles shall be equiangular . = A 44 B B B ' C " Apply the triangle ABC to the triangle A'B'C ' , so that the point A may be on A ' , and 6-2 PROPORTIONAL LINES . SIMILAR FIGURES . 83.
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Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex
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