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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Resultat 6-10 av 54
Side 55
... rectangle AB , BC is double of AK , for BK is equal ( Cor . 4. 2. ) to BC ... contained by the whole line , and one of the parts , together with the ... rectangle AB , BC , together with the square of AC , is equal to the square of the ...
... rectangle AB , BC is double of AK , for BK is equal ( Cor . 4. 2. ) to BC ... contained by the whole line , and one of the parts , together with the ... rectangle AB , BC , together with the square of AC , is equal to the square of the ...
Side 56
... rectangle CK is equal ( 36. 1. ) to BN , and GR to RN ; but CK is equal ( 43. 1. ) to RN , because they are the ... contained by AB , BC , for BK is equal to BC , four times the rectangle AB , BC is quadruple of AK but the gnomon AOH was ...
... rectangle CK is equal ( 36. 1. ) to BN , and GR to RN ; but CK is equal ( 43. 1. ) to RN , because they are the ... contained by AB , BC , for BK is equal to BC , four times the rectangle AB , BC is quadruple of AK but the gnomon AOH was ...
Side 60
... rectangle contained by the whole and one of the parts shall be equal to the square of the other part . Let AB be the given straight line it is required to divide it into two parts , so that the rectangle contained by the whole and one ...
... rectangle contained by the whole and one of the parts shall be equal to the square of the other part . Let AB be the given straight line it is required to divide it into two parts , so that the rectangle contained by the whole and one ...
Side 61
... containing the obtuse angle , by twice the rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight line intercepted without the trian- gle between the perpendicular and the obtuse angle ...
... containing the obtuse angle , by twice the rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight line intercepted without the trian- gle between the perpendicular and the obtuse angle ...
Side 62
... triangle , the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle , by twice the rectangle contained by either of these sides , and the straight line intercepted between the ...
... triangle , the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle , by twice the rectangle contained by either of these sides , and the straight line intercepted between the ...
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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