Relfe brothers' Euclid sheets, propositions 1-26, book 1 |
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Side
If possible , let , and join Then in the two triangles to the angle be greater because is > therefore the base ; is equal to to the triangle ? therefore the angle is equal to the angle and the other angles to the other angles , each to ...
If possible , let , and join Then in the two triangles to the angle be greater because is > therefore the base ; is equal to to the triangle ? therefore the angle is equal to the angle and the other angles to the other angles , each to ...
Side
each to each , and the angle is equal to the base > be not greater than make the angle and join ; at the point in the equal to the angle Then , because is the two sides is equal to the angle are equal to the two " ; therefore the base ...
each to each , and the angle is equal to the base > be not greater than make the angle and join ; at the point in the equal to the angle Then , because is the two sides is equal to the angle are equal to the two " ; therefore the base ...
Side
It is required , at the given point in the given straight line that shall be equal to the given rectilineal angle the given to make an angle , In take any points , and join ; on make the triangle " the sides of which shall be equal to ...
It is required , at the given point in the given straight line that shall be equal to the given rectilineal angle the given to make an angle , In take any points , and join ; on make the triangle " the sides of which shall be equal to ...
Side
Then any two sides of it together shall be greater than the third side , viz . , the sides greater than the side ; greater than greater than ; and Produce the side to the point make " equal to and join Then because is equal to therefore ...
Then any two sides of it together shall be greater than the third side , viz . , the sides greater than the side ; greater than greater than ; and Produce the side to the point make " equal to and join Then because is equal to therefore ...
Side
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 and join Then , because is equal to , in the triangle therefore the ...
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 and join Then , because is equal to , in the triangle therefore the ...
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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 angle angle coincide angle contained angle is equal angle is greater angle Wherefore 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 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 thing are equal third angle three angles three given straight three straight lines triangle are greater triangle is equal wherefore the angle