Relfe brothers' Euclid sheets, propositions 1-26, book 11884 |
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Side
... triangle is subtended by the greater side , or , has the greater side opposite to it . Let be a triangle of which ... equal to , or less than ; if were equal to then the angle would be equal to the angle but it is not equal ; therefore ...
... triangle is subtended by the greater side , or , has the greater side opposite to it . Let be a triangle of which ... equal to , or less than ; if were equal to then the angle would be equal to the angle but it is not equal ; therefore ...
Side
... 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 angle is ...
... 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 angle is ...
Side
... triangle are together less than two right angles . be any triangle . two of its angles together shall be less than ... equal to two right angles ; there- fore the angles are less than two right angles . In like manner it may be demonstrated , ...
... triangle are together less than two right angles . be any triangle . two of its angles together shall be less than ... equal to two right angles ; there- fore the angles are less than two right angles . In like manner it may be demonstrated , ...
Side
... triangle be produced , the exterior angle is greater than either of the interior opposite angles . Let be a triangle ... equal to and join Because to the two is equal to and to ; the two sides are equal ; and the angle each to each , in ...
... triangle be produced , the exterior angle is greater than either of the interior opposite angles . Let be a triangle ... equal to and join Because to the two is equal to and to ; the two sides are equal ; and the angle each to each , in ...
Side
... equal parts . Upon describe the equilateral triangle and bisect the angle by the straight line meeting in the point Then shall be cut into two equal parts in the point Because is equal to and is common to the two triangles ; the two ...
... equal parts . Upon describe the equilateral triangle and bisect the angle by the straight line meeting in the point Then shall be cut into two equal parts in the point Because is equal to and is common to the two triangles ; the two ...
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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 contained angle is equal angle is greater angle Secondly angle Wherefore angles two right base coincide base is equal base Wherefore BOOK circles cut demonstrated describe the circle describe the equilateral distance describe draw a straight draw the straight equal angles equal sides equal to equal equilateral triangle EUCLID SHEETS exterior angle given point given rectilineal angle given straight line greater angle greater side interior and opposite isosceles triangle join let be greater Let two sides line PROPOSITIONS 1-26 ngle point shall coincide PUBLISHED RELFE BROTHERS remainder wherefore required to draw right angles shewn sides are equal sides are opposite sides be produced sides equal SIMILAR FORM straight line equal straight line PROPOSITIONS straight line triangle take any point terminated thing are equal third angle third side three angles three given straight three straight lines triangle are greater triangle is equal wherefore the angle