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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |
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Resultater 1-5 af 59
Side ix
... diameter of the circle , and of which the one shall be greater than the circumference of that circle , and the other less . In the same manner , the quadrature of the circle is performed only by approximation , or by finding two ...
... diameter of the circle , and of which the one shall be greater than the circumference of that circle , and the other less . In the same manner , the quadrature of the circle is performed only by approximation , or by finding two ...
Side 19
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . XV ...
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . XV ...
Side 43
... 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 and angles of the figure are equal to one another ; and the diameter BC bisects t . B ...
... 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 and angles of the figure are equal to one another ; and the diameter BC bisects t . B ...
Side 44
... 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 things are equal . ( 7. Ax . ) ; therefore the triangle ABC is equal to 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 things are equal . ( 7. Ax . ) ; therefore the triangle ABC is equal to the ...
Side 45
... diameter AC divides it into two equal parts ; where- fore ABCD is also double of the trian- B C gle EBC . Therefore , if a parallelogram , & c . Q. E. D. PROP . XLII . PROB . To describe a parallelogram that shall be equal to a given ...
... diameter AC divides it into two equal parts ; where- fore ABCD is also double of the trian- B C gle EBC . Therefore , if a parallelogram , & c . Q. E. D. PROP . XLII . PROB . To describe a parallelogram that shall be equal to a given ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes MDCCCXX meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore