The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 1 - 5 από τα 22.
Σελίδα 19
... falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines shall be parallel . LET the straight line ef , which falls upon the two straight lines ab , cd , make the alternate angles ...
... falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines shall be parallel . LET the straight line ef , which falls upon the two straight lines ab , cd , make the alternate angles ...
Σελίδα 20
... falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side ... falls upon the two straight lines a b , cd , make the ex- terior angle e gb equal to the interior and opposite angle ...
... falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side ... falls upon the two straight lines a b , cd , make the ex- terior angle e gb equal to the interior and opposite angle ...
Σελίδα 21
... fall upon the parallel straight lines a b , cd ; the alternate angles agh , ghd , are equal to one another ; and the exterior angle egb is equal to the interior and opposite , upon the same side ghd ; and the two interior angles bg h ...
... fall upon the parallel straight lines a b , cd ; the alternate angles agh , ghd , are equal to one another ; and the exterior angle egb is equal to the interior and opposite , upon the same side ghd ; and the two interior angles bg h ...
Σελίδα 22
... falls upon them , the exterior angle e cd is equal to the interior and opposite angle dabc ; but the angle ace was shewn to be equal to the angle bac ; there- fore the whole exterior angle acd is equal to the two interior and oppo- site ...
... falls upon them , the exterior angle e cd is equal to the interior and opposite angle dabc ; but the angle ace was shewn to be equal to the angle bac ; there- fore the whole exterior angle acd is equal to the two interior and oppo- site ...
Σελίδα 29
... falls upon the pa- rallels ah , ef , the angles ahf , hfe , are together equal ( i . 29 ) to two right angles ; wherefore the an- gles bhf , hfe , are less 80 h a 1 than two right angles . But straight lines which with another straight ...
... falls upon the pa- rallels ah , ef , the angles ahf , hfe , are together equal ( i . 29 ) to two right angles ; wherefore the an- gles bhf , hfe , are less 80 h a 1 than two right angles . But straight lines which with another straight ...
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a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc circumference bc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle