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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... angles " are greater than the angles ; but the angles are equal to two right angles ; there- fore the angles are less than two right angles . In like manner it may be demonstrated , that the angles two right angles , as also the angles ...
... angles " are greater than the angles ; but the angles are equal to two right angles ; there- fore the angles are less than two right angles . In like manner it may be demonstrated , that the angles two right angles , as also the angles ...
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... angles or Bisect in " and join ; produce to making 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 the triangles because they are opposite vertical angles ; therefore ...
... angles or Bisect in " and join ; produce to making 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 the triangles because they are opposite vertical angles ; therefore ...
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... equal . cut one another in the point Let the two straight lines Then the angle shall be equal to the angle angle + and the angle to the Because the straight line makes with at the point the adjacent angles ... angles are together equal to two ...
... equal . cut one another in the point Let the two straight lines Then the angle shall be equal to the angle angle + and the angle to the Because the straight line makes with at the point the adjacent angles ... angles are together equal to two ...
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... angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line . At the point opposite sides of in the straight line let the two straight lines make the adjacent angles upon the ...
... angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line . At the point opposite sides of in the straight line let the two straight lines make the adjacent angles upon the ...
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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