Relfe brothers' Euclid sheets, propositions 1-26, book 11884 |
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... angle of the one equal to the third angle of the other . be two triangles which have the angles Let to , and " to • equal to the angles each to each , namely , also one side equal to one side . First , let those sides be equal which are ...
... angle of the one equal to the third angle of the other . be two triangles which have the angles Let to , and " to • equal to the angles each to each , namely , also one side equal to one side . First , let those sides be equal which are ...
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... angle contained by the sides of the one which has the greater base , shall be greater than the angle contained by the sides , equal to them , of the other . be two triangles which have the two sides equal to the equal to and to " ; but ...
... angle contained by the sides of the one which has the greater base , shall be greater than the angle contained by the sides , equal to them , of the other . be two triangles which have the two sides equal to the equal to and to " ; but ...
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... equal to two sides of the other , each to each , but the angle ntained by the two sides of one of them greater than the angle contained by the two sides equal to them , of e other ; the base of that which has the greater angle , shall ...
... equal to two sides of the other , each to each , but the angle ntained by the two sides of one of them greater than the angle contained by the two sides equal to them , of e other ; the base of that which has the greater angle , shall ...
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... angle equal to a given rectilineal angle . the given Let be the given straight line , and the given point in it , and rectilineal angle . It is required , at the given point in the given straight line that shall be equal to the given ...
... angle equal to a given rectilineal angle . the given Let be the given straight line , and the given point in it , and rectilineal angle . It is required , at the given point in the given straight line that shall be equal to the given ...
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... equal to therefore the angle is equal to the angle ; but the angle is greater than the angle ; therefore also the angle is greater than the angle And because in the triangle and that the greater angle is subtended by the greater side ...
... equal to therefore the angle is equal to the angle ; but the angle is greater than the angle ; therefore also the angle is greater than the angle And because in the triangle and that the greater angle is subtended by the greater side ...
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Common terms and phrases
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