Relfe brothers' Euclid sheets, propositions 1-26, book 1 |
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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 equal to then the angle would be equal to the ...
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 equal to then the angle would be equal to the ...
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
Let Then any Any two angles of a triangle are together less than two right angles . be any triangle . two of its angles ... add the angle therefore the angles are greater than the angles ; but the angles are equal to two right angles ...
Let Then any Any two angles of a triangle are together less than two right angles . be any triangle . two of its angles ... add the angle therefore the angles are greater than the angles ; but the angles are equal to two right angles ...
Σελίδα
... produce to making equal to and join Because is equal to to the two and to ; the two sides are equal " ; and the angle is equal to the angle each to each , in the triangles , because they are opposite vertical angles ; therefore the ...
... produce to making equal to and join Because is equal to to the two and to ; the two sides are equal " ; and the angle is equal to the angle each to each , in the triangles , because they are opposite vertical angles ; therefore the ...
Σελίδα
If two straight lines cut one another , the vertical , or opposite angles shall be equal . cut one another in the point Let the two straight lines Then the angle shall be equal to the angle angle ナ and the angle to the makes with at ...
If two straight lines cut one another , the vertical , or opposite angles shall be equal . cut one another in the point Let the two straight lines Then the angle shall be equal to the angle angle ナ and the angle to the makes with at ...
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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 angles two right applied 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 point draw possible PROPOSITIONS 1-26 proved equal PUBLISHED remaining angles required to draw right angles side be produced sides are opposite sides equal SIMILAR FORM straight line equal straight line RELFE take any point terminated third angle three angles three given straight three straight lines triangle are greater triangle coincide triangle is equal vertex wherefore the angle