Relfe brothers' Euclid sheets, propositions 1-26, book 1 |
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Σελίδα
... and join ; 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 ...
... and join ; 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 ...
Σελίδα
It is required to draw a straight line perpendicular to from the point > produced if necessary , in and : Upon the other side of take any point and from the centre at the distance describe the circle meeting , bisect in and join point ...
It is required to draw a straight line perpendicular to from the point > produced if necessary , in and : Upon the other side of take any point and from the centre at the distance describe the circle meeting , bisect in and join point ...
Σελίδα
Let It is required to draw a straight line from the point at right angles to In take any point and make , equal to ; upon describe the equilateral triangle and join Then Because sides is equal to are equal to the two sides and " drawn ...
Let It is required to draw a straight line from the point at right angles to In take any point and make , equal to ; upon describe the equilateral triangle and join Then Because sides is equal to are equal to the two sides and " drawn ...
Σελίδα
Л In take any point ; from cut off equal to and join ; on the side of remote from describe the equilateral triangle > and join Then the straight line shall bisect the angle Because is equal to and is common to the two triangles ...
Л In take any point ; from cut off equal to and join ; on the side of remote from describe the equilateral triangle > and join Then the straight line shall bisect the angle Because is equal to and is common to the two triangles ...
Σελίδα
... on the same base which have their sides to one another , and likewise their sides " and upon the same side of it , let there be two triangles " terminated in the extremity of the base , equal that are terminated in " Join First .
... on the same base which have their sides to one another , and likewise their sides " and upon the same side of it , let there be two triangles " terminated in the extremity of the base , equal that are terminated in " Join First .
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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