Class lessons on Euclid1882 |
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Side 13
... coincide or exactly fill the same space are equal . ' ' Things are said to agree together or coincide if when they are applied the one to the other , or set the one upon the other , the one exceedeth not the other in any thing . CLASS ...
... coincide or exactly fill the same space are equal . ' ' Things are said to agree together or coincide if when they are applied the one to the other , or set the one upon the other , the one exceedeth not the other in any thing . CLASS ...
Side 23
... coincide are equal , and , further , it was pointed out in a note that the test of coincidence could be applied to ... coincide . What results can we observe from this ? First , since the equal sides coincide the bases must coincide ...
... coincide are equal , and , further , it was pointed out in a note that the test of coincidence could be applied to ... coincide . What results can we observe from this ? First , since the equal sides coincide the bases must coincide ...
Side 24
Marianne Nops. the equal sides coincide at all points , the bases must coincide ( post . 5 ) , and are equal ( ax . 8 ) . all the sides coincide , the parts included by them , i.e. the areas and remainings , coincide and are equal ( ax ...
Marianne Nops. the equal sides coincide at all points , the bases must coincide ( post . 5 ) , and are equal ( ax . 8 ) . all the sides coincide , the parts included by them , i.e. the areas and remainings , coincide and are equal ( ax ...
Side 28
... coincide , two straight lines would enclose a space , but as it was also made evident by superposition that they did coincide , this 28 CLASS LESSONS ON EUCLID .
... coincide , two straight lines would enclose a space , but as it was also made evident by superposition that they did coincide , this 28 CLASS LESSONS ON EUCLID .
Side 29
Marianne Nops. made evident by superposition that they did coincide , this proof cannot be considered an example of indirect demonstra- tion . The method will be best understood by an example , and as the argument is very simple we will ...
Marianne Nops. made evident by superposition that they did coincide , this proof cannot be considered an example of indirect demonstra- tion . The method will be best understood by an example , and as the argument is very simple we will ...
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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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