Class lessons on Euclid1882 |
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Side 2
... now generally included in algebra , and are quite superseded by modern writers ; the remaining three books deal with the subject of solid geometry . Parts of the eleventh and twelfth books 2 CLASS LESSONS ON EUCLID .
... now generally included in algebra , and are quite superseded by modern writers ; the remaining three books deal with the subject of solid geometry . Parts of the eleventh and twelfth books 2 CLASS LESSONS ON EUCLID .
Side 17
... remaining the third postulate , which assumes that ' a circle may be described from any centre at any distance from that centre . ' Let us refer to the definition of a circle ( def . 15 ) . It is to the latter part that I wish to draw ...
... remaining the third postulate , which assumes that ' a circle may be described from any centre at any distance from that centre . ' Let us refer to the definition of a circle ( def . 15 ) . It is to the latter part that I wish to draw ...
Side 22
... 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-THE INDIRECT PROOF -PROPOSITIONS.
... 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-THE INDIRECT PROOF -PROPOSITIONS.
Side 23
... remaining angles in each triangle contained by the base and one of each of the equal sides . Finally , the parts which coincide must , as we have seen above ( ax . 8 ) , be equal . Therefore the triangles ABC , DEF , are equal as to ...
... remaining angles in each triangle contained by the base and one of each of the equal sides . Finally , the parts which coincide must , as we have seen above ( ax . 8 ) , be equal . Therefore the triangles ABC , DEF , are equal as to ...
Side 43
... remaining angle ABE equal to angle ABD , the part to the whole , which is absurd . Hence it is evident that no other line but BD can be drawn in a straight line with CB . SUMMARY OF PROPOSITION XIV . , THEOREM 7 . If two straight lines ...
... remaining angle ABE equal to angle ABD , the part to the whole , which is absurd . Hence it is evident that no other line but BD can be drawn in a straight line with CB . SUMMARY OF PROPOSITION XIV . , THEOREM 7 . If two straight lines ...
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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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