Elementary Geometry, Volumen1Macmillan, 1868 |
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Página viii
... clearly indicating the master - methods . He has not , nor could he be expected to have , the modern felicity of nomen- clature . The very names of superposition , locus , intersection of loci , projection , comparison of triangles , do ...
... clearly indicating the master - methods . He has not , nor could he be expected to have , the modern felicity of nomen- clature . The very names of superposition , locus , intersection of loci , projection , comparison of triangles , do ...
Página ix
... clear demonstration ; and the merit of Euclid's treatment of Geometry consists in his resolutely fixing the mind on the things with which the argument is concerned , and never allowing the substitution of mere symbols . Algebra fails as ...
... clear demonstration ; and the merit of Euclid's treatment of Geometry consists in his resolutely fixing the mind on the things with which the argument is concerned , and never allowing the substitution of mere symbols . Algebra fails as ...
Página xii
... clear common sense . In common then with some of our ablest mathema- ticians , and with many who are engaged in teaching mathematics , I am of opinion that the time is come for making an effort to supplant Euclid in our schools and ...
... clear common sense . In common then with some of our ablest mathema- ticians , and with many who are engaged in teaching mathematics , I am of opinion that the time is come for making an effort to supplant Euclid in our schools and ...
Página 6
... clear that the angle POB will at first be very small , and less than POA , and will continually increase , as the direction of OP alters , and POA will continually diminish , until the angle POB has become greater than the angle POA ...
... clear that the angle POB will at first be very small , and less than POA , and will continually increase , as the direction of OP alters , and POA will continually diminish , until the angle POB has become greater than the angle POA ...
Página 9
... BA ; that is , of the two former lines taken both in the reverse direction . And it is clear that the quantity of turning required to bring OB into coincidence with OC , would also bring OA into coincidence with OD , that PLANE ANGLES . 9.
... BA ; that is , of the two former lines taken both in the reverse direction . And it is clear that the quantity of turning required to bring OB into coincidence with OC , would also bring OA into coincidence with OD , that PLANE ANGLES . 9.
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Términos y frases comunes
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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