Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Página 43
The opposite sides and angles of a parallelogram are equal to one another , and the diameter bisects it that is , divides it into two equal parts . N. B. A Parallelogram is a four - sided figure , of which the opposite sides are ...
The opposite sides and angles of a parallelogram are equal to one another , and the diameter bisects it that is , divides it into two equal parts . N. B. A Parallelogram is a four - sided figure , of which the opposite sides are ...
Página 44
et деta > 1 : HE OSC but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it ; and the ...
et деta > 1 : HE OSC but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it ; and the ...
Página 45
If a parallelogram and a triangle be upon the same base , and between the same parallel ; the parallelogram is double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same ...
If a parallelogram and a triangle be upon the same base , and between the same parallel ; the parallelogram is double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same ...
Página 46
but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it ; and the halves of equal ...
but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it ; and the halves of equal ...
Página 47
If a parallelogram and a triangle be upon the same base , and between the same parallel ; the parallelogram is double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same ...
If a parallelogram and a triangle be upon the same base , and between the same parallel ; the parallelogram is double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole