Elementary Geometry, Volumen1Macmillan, 1868 |
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Página x
... produce no original work , the training is assuredly worth very little . The fact is , Euclid is a beautiful exercise in logic to a mathematician ; but the mathematics must in many cases be learnt first , or the training is hopelessly ...
... produce no original work , the training is assuredly worth very little . The fact is , Euclid is a beautiful exercise in logic to a mathematician ; but the mathematics must in many cases be learnt first , or the training is hopelessly ...
Página xvi
... producing the sides in succession , are together equal to four right angles . Exercises on parallels . PAGE 15 16 17 SECTION III . PLANE TRIANGLES . THEOREM 8. If one side of a triangle is produced , the exterior angle is equal to the ...
... producing the sides in succession , are together equal to four right angles . Exercises on parallels . PAGE 15 16 17 SECTION III . PLANE TRIANGLES . THEOREM 8. If one side of a triangle is produced , the exterior angle is equal to the ...
Página xix
... produced THEOREM 29. In any right - angled triangle the square on the hypothenuse is equivalent to the sum of the squares on the sides which contain the right angle · . 61 THEOREM 30. In any triangle the square on the side opposite an ...
... produced THEOREM 29. In any right - angled triangle the square on the hypothenuse is equivalent to the sum of the squares on the sides which contain the right angle · . 61 THEOREM 30. In any triangle the square on the side opposite an ...
Página 10
... produce one of the lines AO to A ' . E D Then AOB + BOC are less than two right angles by COA ' , and COD + DOE + EOA are greater than two right angles by the same angle COA . Therefore AOB + BOC + COD + DOE + EOA = four right angles ...
... produce one of the lines AO to A ' . E D Then AOB + BOC are less than two right angles by COA ' , and COD + DOE + EOA are greater than two right angles by the same angle COA . Therefore AOB + BOC + COD + DOE + EOA = four right angles ...
Página 12
... produced ; since if they met they would have different directions . ( 3 ) That straight lines which are parallel to the same straight line are parallel to one another . For straight lines which are parallel to the same straight line ...
... produced ; since if they met they would have different directions . ( 3 ) That straight lines which are parallel to the same straight line are parallel to one another . For straight lines which are parallel to the same straight line ...
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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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