Relfe brothers' Euclid sheets, propositions 1-26, book 11884 |
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Side
... greater angle of every triangle is subtended by the greater side , or , has the greater side opposite to it . Let be a triangle of which the angle is greater than the angle Then the side shall be greater than the side For , if be not ...
... greater angle of every triangle is subtended by the greater side , or , has the greater side opposite to it . Let be a triangle of which the angle is greater than the angle Then the side shall be greater than the side For , if be not ...
Side
... greater angle . Let be a triangle , of which the side Then the angle is greater than the side shall be greater than the angle Since the side is greater than the side make equal to and join Then , because is equal to " in the triangle ...
... greater angle . Let be a triangle , of which the side Then the angle is greater than the side shall be greater than the angle Since the side is greater than the side make equal to and join Then , because is equal to " in the triangle ...
Side
... angles together shall be less than two right angles .へ Produce any side to Then because is the exterior angle of the triangle ; therefore the angle is greater than the interior and opposite angle ; to each of these unequals add the angle ...
... angles together shall be less than two right angles .へ Produce any side to Then because is the exterior angle of the triangle ; therefore the angle is greater than the interior and opposite angle ; to each of these unequals add the angle ...
Side
... angle is greater than either of the interior opposite angles . Let be a triangle , and let the side be produced to Then the exterior angle shall be greater than either of the interior opposite angles or Bisect in " and join ; produce to ...
... angle is greater than either of the interior opposite angles . Let be a triangle , and let the side be produced to Then the exterior angle shall be greater than either of the interior opposite angles or Bisect in " and join ; produce to ...
Side
... angles together equal to two right angles ; then these two straight lines shall be ... angle is equal to the remaining angle which is impossible : therefore are equal to the angles therefore the remaining ; the less angle equal to the greater ...
... angles together equal to two right angles ; then these two straight lines shall be ... angle is equal to the remaining angle which is impossible : therefore are equal to the angles therefore the remaining ; the less angle equal to the greater ...
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Relfe Brothers' Euclid Sheets, Propositions 1-26, Bok 1 Euclides Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
adjacent angles angle angle angle contained angle is equal angle is greater angle Secondly angle Wherefore angles two right base coincide base is equal base Wherefore BOOK circles cut demonstrated describe the circle describe the equilateral distance describe draw a straight draw the straight equal angles equal sides equal to equal equilateral triangle EUCLID SHEETS exterior angle given point given rectilineal angle given straight line greater angle greater side interior and opposite isosceles triangle join let be greater Let two sides line PROPOSITIONS 1-26 ngle point shall coincide PUBLISHED RELFE BROTHERS remainder wherefore required to draw right angles shewn sides are equal sides are opposite sides be produced sides equal SIMILAR FORM straight line equal straight line PROPOSITIONS straight line triangle take any point terminated thing are equal third angle third side three angles three given straight three straight lines triangle are greater triangle is equal wherefore the angle