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 37
... parallelogram is a four sided figure , of which the opposite sides are parallel ; and the diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides ...
... parallelogram is a four sided figure , of which the opposite sides are parallel ; and the diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides ...
Side 38
... parallelogram ABCD shall be equal to the parallelogram EBCF.f If the sides AD , DF of the parallelo- A grams ABCD , DBCF opposite to the base BC be terminated in the same point D ; it is plain that each of the parallelo- grams is double ...
... parallelogram ABCD shall be equal to the parallelogram EBCF.f If the sides AD , DF of the parallelo- A grams ABCD , DBCF opposite to the base BC be terminated in the same point D ; it is plain that each of the parallelo- grams is double ...
Side 39
... parallelogram ; and it is equal ( 35. 1. ) to ABCD , because it is upon the same base BC , and between the same parallels BC , AD : for the like reason , the parallelogram EFGH is equal to the same EBCH ; therefore also the parallelogram ...
... parallelogram ; and it is equal ( 35. 1. ) to ABCD , because it is upon the same base BC , and between the same parallels BC , AD : for the like reason , the parallelogram EFGH is equal to the same EBCH ; therefore also the parallelogram ...
Side 40
... parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the pa ... parallelogram ; and they are equal ( 36. 1. ) to one another , because they are upon equal bases BC , EF , and between ...
... parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the pa ... parallelogram ; and they are equal ( 36. 1. ) to one another , because they are upon equal bases BC , EF , and between ...
Side 41
... parallelogram and triangle be upon the same base , and between the same parallels ; the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon F A DE the same base BC , and between the ...
... parallelogram and triangle be upon the same base , and between the same parallels ; the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon F A DE the same base BC , and 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