Relfe brothers' Euclid sheets, propositions 1-26, book 1 |
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Side
First , let those sides be equal which are adjacent to the angles that are equal in the two triangles , namely , to ... the exterior angle of the triangle is equal to its interior and opposite angle ; which is impossible ; wherefore is ...
First , let those sides be equal which are adjacent to the angles that are equal in the two triangles , namely , to ... the exterior angle of the triangle is equal to its interior and opposite angle ; which is impossible ; wherefore is ...
Side
... therefore the sides are greater than But it has been shown that are greater than ; much more then greater than are Again , because the exterior angle of a triangle is greater than the interior and opposite angle ; therefore the ...
... therefore the sides are greater than But it has been shown that are greater than ; much more then greater than are Again , because the exterior angle of a triangle is greater than the interior and opposite angle ; therefore the ...
Side
The greater side of every triangle is opposite to the greater angle . ... exterior angle is greater than the interior and opposite angle ; but the angle has been proved equal to the angle therefore the angle is greater than the angle ...
The greater side of every triangle is opposite to the greater angle . ... exterior angle is greater than the interior and opposite angle ; but the angle has been proved equal to the angle therefore the angle is greater than the angle ...
Side
Any two angles of a triangle are together less than two right angles . ... 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 ...
Any two angles of a triangle are together less than two right angles . ... 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 ...
Side
If one side of a triangle be produced , the exterior 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 ...
If one side of a triangle be produced , the exterior 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 ...
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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 contained angle is equal angle is greater angle Wherefore base is equal BOOK BROTHERS EUCLID SHEETS called CHARTERHOUSE BUILDINGS common cut off equal demonstrated describe the circle describe the equilateral distance describe divide draw a straight draw the straight drawn ends equal angles equal sides equilateral triangle exterior angle extremity given point given rectilineal angle given straight line greater angle greater side impossible included angle interior and opposite interior opposite angles join let be greater line RELFE BROTHERS LONDON manner meeting namely point shall coincide possible PROPOSITIONS 1–26 proved equal PUBLISHED RELFE BROTHERS EUCLID remaining angles required to draw right angles shewn side is greater sides are equal sides are opposite sides be produced sides equal SIMILAR FORM straight line RELFE straight lines cut take any point terminated third angle third side three angles triangle are greater triangle is equal vertex wherefore the angle Wherefore the straight