The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 1-5 av 52
Side 41
... EBCA is equal to DBCF , because b 35. 1 . they are upon the same base BC , and between the same parallels BC , EF ; and the triangle ABC is the half of the parallelo- F Book I. gram EBCA , because the diameter AB bisects OF EUCLID . 41.
... EBCA is equal to DBCF , because b 35. 1 . they are upon the same base BC , and between the same parallels BC , EF ; and the triangle ABC is the half of the parallelo- F Book I. gram EBCA , because the diameter AB bisects OF EUCLID . 41.
Side 42
... half of the pa- rallelogram GBCA , because the diameter AB bisects it ; and the triangle DEF is the half of the parallelogram DEFH , be- cause the diameter DF bisects it : but the halves of equal 47. Ax . things are equal d ; therefore ...
... half of the pa- rallelogram GBCA , because the diameter AB bisects it ; and the triangle DEF is the half of the parallelogram DEFH , be- cause the diameter DF bisects it : but the halves of equal 47. Ax . things are equal d ; therefore ...
Side 55
... 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 rectangle AD , DB , together with the square of CD , is equal to the square of CB . c K C D B d 36 ...
... 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 rectangle AD , DB , together with the square of CD , is equal to the square of CB . c K C D B d 36 ...
Side 56
... 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 59
... half the line , and of the square of the line between the points of section . Let the straight line AB be divided at ... 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 section . Let the straight line AB be divided at ... 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: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid 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 pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore