Elementary Geometry, Volumen1Macmillan, 1868 |
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Página v
... Euclid's Elements is the proper text - book for teaching Geometry to beginners . Euclid's recognised and acknowledged faults as a system of Geometry , and as a specimen of analysed reasoning , are of slight importance compared with ...
... Euclid's Elements is the proper text - book for teaching Geometry to beginners . Euclid's recognised and acknowledged faults as a system of Geometry , and as a specimen of analysed reasoning , are of slight importance compared with ...
Página vi
... Euclid maintains so strictly , for nothing can be gained by excluding any sound method of reasoning : and if a ... Euclid's method . Again , as his self - imposed restrictions , geometrical and logical , have made his Geometry confused ...
... Euclid maintains so strictly , for nothing can be gained by excluding any sound method of reasoning : and if a ... Euclid's method . Again , as his self - imposed restrictions , geometrical and logical , have made his Geometry confused ...
Página vii
... Euclid for years , and may yet know next to nothing of Geometry . The length of his demonstrations is a real evil ; for , when a geometrical theorem has become familiar , it is easy to analyse into a demonstration the perception that we ...
... Euclid for years , and may yet know next to nothing of Geometry . The length of his demonstrations is a real evil ; for , when a geometrical theorem has become familiar , it is easy to analyse into a demonstration the perception that we ...
Página viii
... Euclid is read , and that in which he is generally taught . Unquestionably the best teachers depart largely from his words , and even from his methods . That is , they use the work of Euclid , but they would teach better without it ...
... Euclid is read , and that in which he is generally taught . Unquestionably the best teachers depart largely from his words , and even from his methods . That is , they use the work of Euclid , but they would teach better without it ...
Página ix
... Euclid less weight will be given to bookwork , and more to problems , in elementary Geometry ; but surely this will not be thought an evil . And to allow some latitude of expression is to admit different degrees of elegance , accuracy ...
... Euclid less weight will be given to bookwork , and more to problems , in elementary Geometry ; but surely this will not be thought an evil . And to allow some latitude of expression is to admit different degrees of elegance , accuracy ...
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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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