Relfe brothers' Euclid sheets, propositions 1-26, book 1 |
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Σελίδα
Let be a triangle , of which the side Then the angle is greater than the side shall be greater than the angle Since ... but the angle has been proved equal to the angle therefore the angle is greater than the angle ; wherefore much more ...
Let be a triangle , of which the side Then the angle is greater than the side shall be greater than the angle Since ... but the angle has been proved equal to the angle therefore the angle is greater than the angle ; wherefore much more ...
Σελίδα
If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . ... to the remaining angles of the other , each to each , to which the equal sides are opposite ; wherefore the angle ...
If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . ... to the remaining angles of the other , each to each , to which the equal sides are opposite ; wherefore the angle ...
Σελίδα
If two straight lines cut one another , the vertical , or opposite angles shall be equal . cut one another in the ... are equal to two right angles ; but the angles have been shewn to be equal to two right angles ; wherefore the angles ...
If two straight lines cut one another , the vertical , or opposite angles shall be equal . cut one another in the ... are equal to two right angles ; but the angles have been shewn to be equal to two right angles ; wherefore the angles ...
Σελίδα
At the point opposite sides of in the straight line let the two straight lines make the adjacent angles upon the together equal to two ... with it but which therefore is in the same straight line with Wherefore , if at a point , & c .
At the point opposite sides of in the straight line let the two straight lines make the adjacent angles upon the together equal to two ... with it but which therefore is in the same straight line with Wherefore , if at a point , & c .
Σελίδα
The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . ... are together equal to two right angles . Wherefore , when a straight line , & c .
The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . ... are together equal to two right angles . Wherefore , when a straight line , & c .
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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