Elementary Geometry, Volumen1Macmillan, 1868 |
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Página vi
... proved independently , and on its own evidence , it is certain that the decisive bearing of the data on the conclusion will be better appreciated than it would be on Euclid's method . Again , as his self - imposed restrictions ...
... proved independently , and on its own evidence , it is certain that the decisive bearing of the data on the conclusion will be better appreciated than it would be on Euclid's method . Again , as his self - imposed restrictions ...
Página vii
... prove , that our education is more marked by inferiority to other nations in this respect than in any other . And again , unsuggestiveness is a great fault in a text- book . Euclid places all his theorems and problems on A 2 PREFACE . vii.
... prove , that our education is more marked by inferiority to other nations in this respect than in any other . And again , unsuggestiveness is a great fault in a text- book . Euclid places all his theorems and problems on A 2 PREFACE . vii.
Página 10
... prove that the others also are right angles . 2. If five lines meet at a point , and make equal angles round that point , each of the angles is four fifths of a right angle . 3. Of two supplementary angles the greater is double of ΙΟ ...
... prove that the others also are right angles . 2. If five lines meet at a point , and make equal angles round that point , each of the angles is four fifths of a right angle . 3. Of two supplementary angles the greater is double of ΙΟ ...
Página 11
... prove that AOC , BOD are straight lines . = 7. The bisectors of the four angles which one straight line makes with another are two straight lines at right angles to one another . SECTION II . PARALLELS . The previous Section has treated ...
... prove that AOC , BOD are straight lines . = 7. The bisectors of the four angles which one straight line makes with another are two straight lines at right angles to one another . SECTION II . PARALLELS . The previous Section has treated ...
Página 18
... intersecting in A are respectively per- pendicular to two lines intersecting in B , prove that the angles at A are respectively equal or supplementary to the angles at B. SECTION III . PLANE TRIANGLES . Def . 18. A 18 ELEMENTARY GEOMETRY .
... intersecting in A are respectively per- pendicular to two lines intersecting in B , prove that the angles at A are respectively equal or supplementary to the angles at B. SECTION III . PLANE TRIANGLES . Def . 18. A 18 ELEMENTARY GEOMETRY .
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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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