Relfe brothers' Euclid sheets, propositions 1-26, book 11884 |
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Side
... angles of the one equal to two angles of the other , each to each , and one side equal to one side , viz . , either the sides adjacent to the equal angles in each , or the sides opposite to them ; then shall the other sides be equal ...
... angles of the one equal to two angles of the other , each to each , and one side equal to one side , viz . , either the sides adjacent to the equal angles in each , or the sides opposite to them ; then shall the other sides be equal ...
Side
... sides of the triangle , but shall contain a greater angle . Let vo straight lines be a triangle , and from the ... opposite angle ; therefore the exterior angle of the triangle is greater than the interior of the triangle ; for the same ...
... sides of the triangle , but shall contain a greater angle . Let vo straight lines be a triangle , and from the ... opposite angle ; therefore the exterior angle of the triangle is greater than the interior of the triangle ; for the same ...
Side
... 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 than must either be equal to , or less than ; if were ...
... 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 than must either be equal to , or less than ; if were ...
Side
... side of every triangle is opposite to the 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 ...
... side of every triangle is opposite to the 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 ...
Side
... angles . be any triangle . two of its 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 ...
... angles . be any triangle . two of its 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 ...
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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