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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Side 8
... sides are unequal , neither pair of opposite sides parallel , and the diagonals AC , BD do not make equal angles with any side . It will be noticed , also , that neither diagonal bisects the other . If we had a problem in which the ...
... sides are unequal , neither pair of opposite sides parallel , and the diagonals AC , BD do not make equal angles with any side . It will be noticed , also , that neither diagonal bisects the other . If we had a problem in which the ...
Side 12
... opposite to the common side , C E , equal to each other ; but there is no proposition in Euclid which enables us to assert from these data that the triangles CAE and CBE are equal in all respects . Of course , there is no difficulty in ...
... opposite to the common side , C E , equal to each other ; but there is no proposition in Euclid which enables us to assert from these data that the triangles CAE and CBE are equal in all respects . Of course , there is no difficulty in ...
Side 57
... . We have supposed that the point is required to lie above A B. If not , then an arc equal in all re- spects to A EB , but applied on the opposite side of A B , would include other points satisfying the first PROBLEMS ON LOCI . 57.
... . We have supposed that the point is required to lie above A B. If not , then an arc equal in all re- spects to A EB , but applied on the opposite side of A B , would include other points satisfying the first PROBLEMS ON LOCI . 57.
Side 75
... opposite sides of a line AB , make equal angles CEA , DEB with AB ; then CE and ED are in the same straight line . This is obviously true , since if CE produced fell in some other direction , as E F , we should have the angle BEF equal ...
... opposite sides of a line AB , make equal angles CEA , DEB with AB ; then CE and ED are in the same straight line . This is obviously true , since if CE produced fell in some other direction , as E F , we should have the angle BEF equal ...
Side 76
... opposite sides of a four - sided rectilinear figure are equal , the figure is a parallelogram . This is obviously true ; for , having AB ( Fig . 41 ) equal to DC and A D equal to BC , also the base BD common , we have the angle BAD ...
... opposite sides of a four - sided rectilinear figure are equal , the figure is a parallelogram . This is obviously true ; for , having AB ( Fig . 41 ) equal to DC and A D equal to BC , also the base BD common , we have the angle BAD ...
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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 D A B is equal ABCD angle ABC angle BA angle equal base bisector bisects the angle circle diagonals divided equal and parallel equal angles equal sides equal to DC equal to half equal to twice Euclid exterior angles given angle given line given point given straight line greater Hence hypotenuse intersect isosceles triangle KHGE lines bisecting lines drawn locus maxima and minima obtuse opposite sides parallelogram perpendicular point F problem produced proof Prop proposition quadrilateral R. A. PROCTOR rect rectangle A C rectangle contained respects Euc rhombus right angles right-angled triangle sides A B solution square on CD squares on A C straight line A B theorems trapezium triangle ABC trisected twice the rectangle vertex 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.