The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 32
... PROP . XXVII . THEOR . Ir a straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines shall be parallel . Let the straight line EF , which falls upon the two straight ...
... PROP . XXVII . THEOR . Ir a straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines shall be parallel . Let the straight line EF , which falls upon the two straight ...
Side 43
... PROP . XLIII . THEOR . THE complements of the parallelograms which are about the diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelograms about ...
... PROP . XLIII . THEOR . THE complements of the parallelograms which are about the diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelograms about ...
Side 54
... PROP . VI . THEOR . Ir a straight line be bisected , and produced to any point ; the rectangle contained by the whole line thus pro- duced , and the part of it produced , together with the square of half the line bisected , is equal to ...
... PROP . VI . THEOR . Ir a straight line be bisected , and produced to any point ; the rectangle contained by the whole line thus pro- duced , and the part of it produced , together with the square of half the line bisected , is equal to ...
Side 75
... PROP . XI . THEOR . If two circles touch each other internally , the straight line which joins their centres being produced shall pass through the point of contact . A Let the two circles ABC , ADE touch each other internally in the ...
... PROP . XI . THEOR . If two circles touch each other internally , the straight line which joins their centres being produced shall pass through the point of contact . A Let the two circles ABC , ADE touch each other internally in the ...
Side 89
... PROP . XXVIII . THEOR . In equal circles , equal straight lines cut off equal cir- cumferences , the greater equal to the greater , and the less to the less . Let ABC , DEF be equal circles , and BC , EF equal straight lines in them ...
... PROP . XXVIII . THEOR . In equal circles , equal straight lines cut off equal cir- cumferences , the greater equal to the greater , and the less to the less . Let ABC , DEF be equal circles , and BC , EF equal straight lines in them ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore