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 σελίδες |
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Σελίδα 43
... parallelogram are equal to one ano- ther , 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 parallel ; and the diameter is the ...
... parallelogram are equal to one ano- ther , 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 parallel ; and the diameter is the ...
Σελίδα 44
... parallelogram ACDB into two equal parts . Therefore , & c . Q. E. D. PROP . XXXV . THEOR . Parallelograms upon the same base and between the same parallels , are equal to one another . ( SEE THE 20 AND 3d FIGURES . ) Let the parallelograms ...
... parallelogram ACDB into two equal parts . Therefore , & c . Q. E. D. PROP . XXXV . THEOR . Parallelograms upon the same base and between the same parallels , are equal to one another . ( SEE THE 20 AND 3d FIGURES . ) Let the parallelograms ...
Σελίδα 45
... parallelogram ABCD is equal to the parallelogram EBCF . Therefore , parallelograms upon the same base , & c . Q. E. D. PROP . XXXVI . THEOR . Parallelograms upon equal bases , and between the same parallels , are equal to one another ...
... parallelogram ABCD is equal to the parallelogram EBCF . Therefore , parallelograms upon the same base , & c . Q. E. D. PROP . XXXVI . THEOR . Parallelograms upon equal bases , and between the same parallels , are equal to one another ...
Σελίδα 46
... 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 things are equal . ( 7. Ax . ) ; therefore ...
... 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 things are equal . ( 7. Ax . ) ; therefore ...
Σελίδα 47
... 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 pa- rallels ...
... 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 pa- rallels ...
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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 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 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