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 ...
Сторінка 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 ...
Сторінка 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 ...
... 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 ...
Сторінка 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 ...
Сторінка 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 4-6 ·
... 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 4-6 ·
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alternate angles angles are equal angles equal apply base bisected Book called Cheaper Edition circle coincide common cons construction demonstration Demy 8vo describe diameter difference divided double draw drawn English equal equilateral triangle Euclid exterior fall Fcap figure follows four given line given point given straight line gram greater Illustrations interior angles isosceles triangle Join Large LECTURE less meet method opposite opposite angles opposite sides pair parallel parallelogram perpendicular Poems Portrait problem produced proof Prop PROPOSITION prove rect rectangle contained remaining right angles Second Edition sides Small crown 8vo square square on half SUMMARY OF PROPOSITION THEOREM Translated triangle triangle ABC twice unequal vols Wherefore whole line
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