Relfe brothers' Euclid sheets, propositions 1-26, book 1 |
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Σελίδα
... 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 , each to each , and also the third angle of the one ...
... 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 , each to each , and also the third angle of the one ...
Σελίδα
If from the ends of a side of a triangle , there be drawn two straight lines to a point within the riangle ; these shall be ... because the exterior angle of a triangle is greater than the interior and opposite angle ; therefore the ...
If from the ends of a side of a triangle , there be drawn two straight lines to a point within the riangle ; these shall be ... because the exterior angle of a triangle is greater than the interior and opposite angle ; therefore the ...
Σελίδα
The 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 ...
The 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 ...
Σελίδα
The greater 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 ...
The greater 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 ...
Σελίδα
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 therefore the angles are greater than the 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 unequals add the angle therefore the angles are greater than the angles ...
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Relfe Brothers' Euclid Sheets, Propositions 1-26, Βιβλίο 1 Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles angle angle angle coincide angle contained angle is equal angle is greater angle RELFE BROTHERS angles two right base is equal BOOK CHARTERHOUSE BUILDINGS circle cutting common demonstrated describe the circle describe the equilateral distance describe divide draw a straight draw the straight drawn ends equal angles equal sides equal to angle equilateral triangle EUCLID SHEETS exterior angle extremity fall given point given rectilineal angle given straight line greater angle greater side Hence impossible included angle interior and opposite join Let two sides likewise the angles line RELFE BROTHERS LONDON manner meeting namely possible PROPOSITIONS 1-26 proved equal PUBLISHED remaining angles right angles side be produced sides are opposite sides equal SIMILAR FORM straight line equal straight line RELFE take any point terminated thing are equal third angle three angles three given straight three straight lines triangle are greater triangle coincide triangle is equal vertex wherefore the angle