Relfe brothers' Euclid sheets, propositions 1-26, book 11884 |
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... possible , let be greater , because each to each ; and therefore the base ; is equal to the base ; but the angle is equal to the angle which is impossible ; therefore Hence , in the triangles is not unequal to ; because that is , > is ...
... possible , let be greater , because each to each ; and therefore the base ; is equal to the base ; but the angle is equal to the angle which is impossible ; therefore Hence , in the triangles is not unequal to ; because that is , > is ...
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... possible , let be in the same straight line with it . Then because meets the straight line ; ' therefore the adjacent angles are equal to are equal to two right angles ; but the angles two right angles ; therefore the angles ; take away ...
... possible , let be in the same straight line with it . Then because meets the straight line ; ' therefore the adjacent angles are equal to are equal to two right angles ; but the angles two right angles ; therefore the angles ; take away ...
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... possible , let the segment be common to the two straight lines From the point draw at right angles to ; then because ore the angle is equal to the angle • Similarly , because ne angle -herefore the angle is equal to the angle ; but the ...
... possible , let the segment be common to the two straight lines From the point draw at right angles to ; then because ore the angle is equal to the angle • Similarly , because ne angle -herefore the angle is equal to the angle ; but the ...
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... possible , on the same base " which have their sides to one another , and likewise their sides and upon the same side of it , let there be two triangles " terminated in the extremity that are terminated in · of the base , equal Join ...
... possible , on the same base " which have their sides to one another , and likewise their sides and upon the same side of it , let there be two triangles " terminated in the extremity that are terminated in · of the base , equal Join ...
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... possible , let be greater than Then , in the triangles common to both triangles , the two sides each to each ; and the angle ; and from cut off equal to the less , and join because is equal to and is are equal to the two sides ...
... possible , let be greater than Then , in the triangles common to both triangles , the two sides each to each ; and the angle ; and from cut off equal to the less , and join because is equal to and is are equal to the two sides ...
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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