First Steps in Geometry: A Series of Hints for the Solution of Geometrical Problems with Notes on Euclid, Useful Working Propositions and Many ExamplesLongmans, Green, and Company, 1887 - 180 sider |
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Resultat 1-5 av 23
Side 17
... quadrilateral A B C D ; then shall the sum of the four lines A P , BP , C P , and DP be greater than the sum of the diagonals A C , BD . Here it would serve us nothing to begin analyti- cally by supposing AP , BP , CP , and DP to be FIG ...
... quadrilateral A B C D ; then shall the sum of the four lines A P , BP , C P , and DP be greater than the sum of the diagonals A C , BD . Here it would serve us nothing to begin analyti- cally by supposing AP , BP , CP , and DP to be FIG ...
Side 30
... quadrilateral , lines are drawn to the angles of the quadrilateral : show that the sum of these lines will be a minimum when the point is at the intersection of the diagonals . Presented in this form the problem would be solved ...
... quadrilateral , lines are drawn to the angles of the quadrilateral : show that the sum of these lines will be a minimum when the point is at the intersection of the diagonals . Presented in this form the problem would be solved ...
Side 32
... quadrilateral , since it is the intersection of the diagonals . Also , P being any point , our process shows that wherever our point be taken , the sum of the distances diminishes continually as the point is made by the double pro- cess ...
... quadrilateral , since it is the intersection of the diagonals . Also , P being any point , our process shows that wherever our point be taken , the sum of the distances diminishes continually as the point is made by the double pro- cess ...
Side 77
... quadrilateral divided by B D into two equal triangles , but this quadrilateral would not be a parallelogram . B FIG . 42 . Euc . I. , 35 and 36. - Each of these propositions has a converse which may be established in the manner of Props ...
... quadrilateral divided by B D into two equal triangles , but this quadrilateral would not be a parallelogram . B FIG . 42 . Euc . I. , 35 and 36. - Each of these propositions has a converse which may be established in the manner of Props ...
Side 96
... that is , to the given figure . Lastly , join D F , draw EM parallel to D F and join DN ; then the triangle DFM is equal to the triangle DEF , and the triangle LDM to the quadrilateral L DE F - that is 96 NOTES ON EUCLID .
... that is , to the given figure . Lastly , join D F , draw EM parallel to D F and join DN ; then the triangle DFM is equal to the triangle DEF , and the triangle LDM to the quadrilateral L DE F - that is 96 NOTES ON EUCLID .
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Vanlige uttrykk og setninger
A B C ABCD acute apply base bisector bisects the angle Book centre circle construction contained converse deductions described determine diagonals diameter difference distances divided double draw drawn equal equal to BC established Euclid Example figure four given point given straight line greater half Hence intersect isosceles triangle join less line A B locus manner meet method notice obvious opposite sides pair parallel parallelogram pass perpendicular problem produced proof Prop properties proposition prove quadrilateral rect rectangle A B relation remaining respects right angles shown solution solved square squares on A C student Suppose taken third triangle ABC twice the rectangle vertical angle
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