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 1-5 av 53
Side 39
... . ) to DBCF , because they are upon the same base BC , and between the same parallels BC , EF ; and the triangle ABC is the half of the parallelogram EBCA , because the diameter AB BOOK I. 39 THE ELEMENTS OF EUCLID .
... . ) to DBCF , because they are upon the same base BC , and between the same parallels BC , EF ; and the triangle ABC is the half of the parallelogram EBCA , because the diameter AB BOOK I. 39 THE ELEMENTS OF EUCLID .
Side 40
... half of the parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the pa- rallelogram DBCF , because the diameter DC bisects it : but the halves of equal things are equal : ( 7. Ax ...
... half of the parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the pa- rallelogram DBCF , because the diameter DC bisects it : but the halves of equal things are equal : ( 7. Ax ...
Side 53
... half the line . Let the straight line AB be divided into two equal parts in the point C , and into two unequal parts at the point D ; the rectan- gle AD , DB , together with the square of CD , is equal to the square of CB . A B C D L Η ...
... half the line . Let the straight line AB be divided into two equal parts in the point C , and into two unequal parts at the point D ; the rectan- gle AD , DB , together with the square of CD , is equal to the square of CB . A B C D L Η ...
Side 54
... half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the rectangle AD , DB , together with ...
... half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the rectangle AD , DB , together with ...
Side 57
... half the line , and of the square of the line between the points of sec- tion . Let the straight line AB be divided ... half of a right angle . For the same reason each of the angles CEB , EBC is half a right angle ; and therefore the ...
... half the line , and of the square of the line between the points of sec- tion . Let the straight line AB be divided ... half of a right angle . For the same reason each of the angles CEB , EBC is half a right angle ; and therefore 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