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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 sider |
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Side 28
... parallelogram ; and EBCA is equal ( 29. 1. ) to DBCF , because they are upon the same base BC , and between the same pa- E A D F B rallels BC , EF ; but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB ...
... parallelogram ; and EBCA is equal ( 29. 1. ) to DBCF , because they are upon the same base BC , and between the same pa- E A D F B rallels BC , EF ; but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB ...
Side 29
... 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 ...
Side 30
... parallelogram , are equivalent to one another . A Let ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelo- grams ...
... parallelogram , are equivalent to one another . A Let ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelo- grams ...
Side 31
... parallelogram BL is equal to the square GB : And in the same manner , by joining AE , BK , it is de- monstrated , that the parallelogram CL is equal to the square HC . There- fore , the whole square BDEC is equal to the two squares GB ...
... parallelogram BL is equal to the square GB : And in the same manner , by joining AE , BK , it is de- monstrated , that the parallelogram CL is equal to the square HC . There- fore , the whole square BDEC is equal to the two squares GB ...
Side 38
... parallelogram that shall be equivalent to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a parallelogram ...
... parallelogram that shall be equivalent to a given triangle , and have one of its angles equal to a given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a parallelogram ...
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Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |
Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC triangle DEF wherefore