Relfe brothers' Euclid sheets, propositions 1-26, book 1 |
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Side
Let Then any Any two angles of a triangle are together less than two right angles . be any triangle . two of its angles together shall be less than two right angles . Produce any side to Then because is the exterior angle of the ...
Let Then any Any two angles of a triangle are together less than two right angles . be any triangle . two of its angles together shall be less than two right angles . Produce any side to Then because is the exterior angle of the ...
Side
Because the straight line Again , because the straight line angles angle makes with ; these angles also are equal to two right angles ; but the angles have been shewn to be equal to two right angles ; wherefore the angles are equal to ...
Because the straight line Again , because the straight line angles angle makes with ; these angles also are equal to two right angles ; but the angles have been shewn to be equal to two right angles ; wherefore the angles are equal to ...
Side
If at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line .
If at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line .
Side
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 . Let the straight line make with upon one side of it , the angles Then these shall be ...
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 . Let the straight line make with upon one side of it , the angles Then these shall be ...
Side
But when a straight line standing on another straight line , makes the adjacent angles equal to one another , each of them is a right angle , and the straight line which stands upon the other is called a perpendicular to it .
But when a straight line standing on another straight line , makes the adjacent angles equal to one another , each of them is a right angle , and the straight line which stands upon the other is called a perpendicular to it .
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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