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 61
Side 5
... a line . Similar remarks apply to the division of a line into five , seven , or nine equal parts . Suppose we had to solve such a problem as the following : -From a given point outside the acute angle contained by two given straight lines , ...
... a line . Similar remarks apply to the division of a line into five , seven , or nine equal parts . Suppose we had to solve such a problem as the following : -From a given point outside the acute angle contained by two given straight lines , ...
Side 6
... a problem spoke of a circle touching a given line in a given point , and passing B E FIG . 2 . о FIG . 3 . through another given point . Then we should not draw a straight line , and taking the points P and Q ( Fig . 3 ) , attempt to draw a ...
... a problem spoke of a circle touching a given line in a given point , and passing B E FIG . 2 . о FIG . 3 . through another given point . Then we should not draw a straight line , and taking the points P and Q ( Fig . 3 ) , attempt to draw a ...
Side 17
... a proposition slightly more difficult . Ex . 4. - Let P ( Fig . 9 ) be a point which does not lie on either diagonal of the 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 ...
... a proposition slightly more difficult . Ex . 4. - Let P ( Fig . 9 ) be a point which does not lie on either diagonal of the 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 ...
Side 24
... point P ( Fig . 12 ) is within the acute angle formed by the lines A B and A ... given with the proviso that no problem beyond Euc . I. , 1 , shall be made ... point dividing D E into unequal parts . Prop . 5. This gives us the angle A D ...
... point P ( Fig . 12 ) is within the acute angle formed by the lines A B and A ... given with the proviso that no problem beyond Euc . I. , 1 , shall be made ... point dividing D E into unequal parts . Prop . 5. This gives us the angle A D ...
Side 26
... points P and Q ( Fig . 13 ) are on the same side of the line AB . It is required to deter- mine a point C in AB , such that the lines PC , QC may make equal angles with A B. Let C be the required point , so that the angle PCA is equal ...
... points P and Q ( Fig . 13 ) are on the same side of the line AB . It is required to deter- mine a point C in AB , such that the lines PC , QC may make equal angles with A B. Let C be the required point , so that the angle PCA is equal ...
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Ingen forhåndsvisning tilgjengelig - 2018 |
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Ingen forhåndsvisning tilgjengelig - 2013 |
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
Populære avsnitt
Side 80 - If two triangles have two sides of the one equal to two sides of the...
Side 144 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Side 175 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Side 136 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.