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 TrigonometryW. E. Dean, 1851 - 317 sider |
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Resultat 1-5 av 43
Side 32
... parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its opposite sides parallel . For , having drawn the diagonal BC ; then , the triangles ABC , CBD , being mutually ...
... parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its opposite sides parallel . For , having drawn the diagonal BC ; then , the triangles ABC , CBD , being mutually ...
Side 33
... parallelogram are equal to one another , and the diagonal 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 a ...
... parallelogram are equal to one another , and the diagonal 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 a ...
Side 34
... parallelogram ABCD is equal to the parallelogram EBCF . PROP . XXXVI . THEOR . Parallelograms upon equal bases , and between the same parallels , are equal to one another . Let ABCD , EFGH be parallelograms upon equal bases BC , FG ...
... parallelogram ABCD is equal to the parallelogram EBCF . PROP . XXXVI . THEOR . Parallelograms upon equal bases , and between the same parallels , are equal to one another . Let ABCD , EFGH be parallelograms upon equal bases BC , FG ...
Side 35
... parallelogram ; and EBCA E B A D F is equal ( 35. 1. ) to DBCF , because they are upon the same base BC , and between the same parallels BC , EF ; but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB ...
... parallelogram ; and EBCA E B A D F is equal ( 35. 1. ) to DBCF , because they are upon the same base BC , and between the same parallels BC , EF ; but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB ...
Side 36
... parallelogram is double of the triangle . Let the parallelogram ABCD and the tri- angle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD is double of the trian- gle EBC . Join AC ; then the ...
... parallelogram is double of the triangle . Let the parallelogram ABCD and the tri- angle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD is double of the trian- gle EBC . Join AC ; then the ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore