Class lessons on Euclid1882 |
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... demonstration of the theorem , is explained in simple language , with the two - fold object of making the propositions per se more interesting and intelli- gible , and of affording models for the guidance of the student in his original ...
... demonstration of the theorem , is explained in simple language , with the two - fold object of making the propositions per se more interesting and intelli- gible , and of affording models for the guidance of the student in his original ...
Page 3
... demonstrations . The Saracen conquerors of Alexandria , however , became familiar with the Elements , ' and translated it into Arabic , and from Arabic manuscripts what we may consider as the first modern edition of Euclid was ...
... demonstrations . The Saracen conquerors of Alexandria , however , became familiar with the Elements , ' and translated it into Arabic , and from Arabic manuscripts what we may consider as the first modern edition of Euclid was ...
Page 4
... demonstration which will make it valueless , and oblige us to retrace our steps to the very commencement . This power of fixing the atten- tion , or of concentrating our ideas , is most necessary to our ever succeeding in attaining any ...
... demonstration which will make it valueless , and oblige us to retrace our steps to the very commencement . This power of fixing the atten- tion , or of concentrating our ideas , is most necessary to our ever succeeding in attaining any ...
Page 16
... demonstrations : - = is equal to Zangle rt . right angle || gram parallelogram A triangle sq . square .. therefore ..since or because PROP . I. Having now cleared the way , we can enter upon the discussion of the first proposition ...
... demonstrations : - = is equal to Zangle rt . right angle || gram parallelogram A triangle sq . square .. therefore ..since or because PROP . I. Having now cleared the way , we can enter upon the discussion of the first proposition ...
Page 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.
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Common terms and phrases
&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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