Elementary Geometry, Volumen1Macmillan, 1868 |
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Página x
... this confusion of ideas ? And again , Euclid's treatment of parallels distinctly breaks down in Logic . It rests on an axiom which is not axiomatic . It is often said that mathematicians shew more anxiety about their Χ PREFACE .
... this confusion of ideas ? And again , Euclid's treatment of parallels distinctly breaks down in Logic . It rests on an axiom which is not axiomatic . It is often said that mathematicians shew more anxiety about their Χ PREFACE .
Página xi
James Maurice Wilson. is often said that mathematicians shew more anxiety about their reasoning than about their premises . Whether this be so or not , mathematicians have Euclid's example to plead . There is moreover a logic besides ...
James Maurice Wilson. is often said that mathematicians shew more anxiety about their reasoning than about their premises . Whether this be so or not , mathematicians have Euclid's example to plead . There is moreover a logic besides ...
Página 17
... Shew that three hexagons can be placed so as to have one common angular point , and fill up the space round that point . 4 . Shew that two octagons and one square have the same property ; and hence shew that octagons and squares having ...
... Shew that three hexagons can be placed so as to have one common angular point , and fill up the space round that point . 4 . Shew that two octagons and one square have the same property ; and hence shew that octagons and squares having ...
Página 33
... shew that AO is the bisector of the angle BAC . Let perpendiculars OP , OQ , OR be drawn to the three sides BC , CA , AB . P Then the triangles OQC , OPC have two angles OQC , OCQ and the side OC of the one equal respectively to the two ...
... shew that AO is the bisector of the angle BAC . Let perpendiculars OP , OQ , OR be drawn to the three sides BC , CA , AB . P Then the triangles OQC , OPC have two angles OQC , OCQ and the side OC of the one equal respectively to the two ...
Página 55
... Shew that a trapezium may be divided into a parallelogram and a triangle . 5. Or into a rectangle and two right - angled triangles . 6. If two straight lines be drawn bisecting one another , and their extremities be joined , the figure ...
... Shew that a trapezium may be divided into a parallelogram and a triangle . 5. Or into a rectangle and two right - angled triangles . 6. If two straight lines be drawn bisecting one another , and their extremities be joined , the figure ...
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AB² ABCD AC² adjacent angles Algebra angle ABC angle BAC angle OPB AP² BC² BP² BROOKE FOSS WESTCOTT Cambridge Christ's College cloth coincide CONIC SECTIONS construct a triangle construct the triangle corresponding angles CP² Crown 8vo diagonals difference direction Edward Thring ELEMENTARY TREATISE equal angles Euclid Examples EXERCISES exterior angles Fcap follows four right angles Geometry given angle given line given point given straight line greater Hence included angle intersecting isosceles triangle John's College less Let ABC line which joins locus Mathematical meet middle point MIXED MATHEMATICS obtuse angle opposite angles opposite sides parallelogram perpendicular points of bisection problems produced Proof prove quadrilateral rectangle contained rectilineal respectively equal rhombus right angles Schools Second Edition Shew student Theorem 16 three sides triangle ABC triangle are respectively triangles are equal TRIGONOMETRY twice the rectangle unequal vertex whole line
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