Class lessons on Euclid1882 |
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Side 15
... base of an isosceles triangle are equal . A proposition consists of the enunciation , the construction and the proof . The enunciation states in general terms the problem to be solved or the truth to be demonstrated , e.g. the angles at ...
... base of an isosceles triangle are equal . A proposition consists of the enunciation , the construction and the proof . The enunciation states in general terms the problem to be solved or the truth to be demonstrated , e.g. the angles at ...
Side 16
... base of an isosceles triangle are equal . In this proposition we consider two sides of the triangle to be equal , in accord- ance with the supposition of an isosceles triangle in the enun- ciation , that is by hypothesis . The following ...
... base of an isosceles triangle are equal . In this proposition we consider two sides of the triangle to be equal , in accord- ance with the supposition of an isosceles triangle in the enun- ciation , that is by hypothesis . The following ...
Side 22
... bases , are equal . ( 2 ) That the two remaining angles in each triangle are equal each to each . ( 3 ) That the areas are equal . Thus , in one demonstration , we have to show 22 CLASS LESSONS ON EUCLID . THE METHOD OF SUPERPOSITION ...
... bases , are equal . ( 2 ) That the two remaining angles in each triangle are equal each to each . ( 3 ) That the areas are equal . Thus , in one demonstration , we have to show 22 CLASS LESSONS ON EUCLID . THE METHOD OF SUPERPOSITION ...
Side 23
... bases must coincide , for the extremities of the bases are also the extremities of the sides which coincide , and if ... base and one of each of the equal sides . Finally , the parts which coincide must , as we have seen above ( ax . 8 ) ...
... bases must coincide , for the extremities of the bases are also the extremities of the sides which coincide , and if ... base and one of each of the equal sides . Finally , the parts which coincide must , as we have seen above ( ax . 8 ) ...
Side 24
... bases . ' This name may be applied to any side of a triangle to distinguish it from the other two , except in an isosceles triangle , when it always refers to the unequal side . The point opposite the base , at which the other two sides ...
... bases . ' This name may be applied to any side of a triangle to distinguish it from the other two , except in an isosceles triangle , when it always refers to the unequal side . The point opposite the base , at which the other two sides ...
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Vanlige uttrykk og setninger
&c.-Q.E.D. PROPOSITION ABCD alternate angles angle ABC angle ACB angles are equal angles equal base BC bisected Cheaper Edition circle cons construction Demy 8vo diameter enunciation equal bases equal in area equal sides equal triangles equilateral triangle Euclid exterior Fcap Frontispiece given angle given line given point given straight line given triangle gnomon gram half the line Illustrations interior and opposite interior angles isosceles triangle Join line equal meet opposite angles opposite sides parallelogram perpendicular Poems problem produced proof Prop rectangle contained rhombus right angles right-angled triangle Second Edition sides equal Small crown 8vo square on AC square on half SUMMARY OF PROPOSITION THEOREM Third Edition Translated triangle ABC triangles are equal twice the rect twice the rectangle vertical angle vols Wherefore whole line
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