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 8
Things which are doubles of the same thing , are equal to one another . 7. Things which are halves of the same thing , are equal to one another . 8. Two magnitudes , lines , surfaces , or solids , are equal , if , when applied to each ...
Things which are doubles of the same thing , are equal to one another . 7. Things which are halves of the same thing , are equal to one another . 8. Two magnitudes , lines , surfaces , or solids , are equal , if , when applied to each ...
Página 26
If the sides AD , DF of the parallelograms ABCD , DBCF opposite to the base BC be terminated in the same point D ; it is plain that each of the parallelograms is B с double ( 28. 1. ) of the triangle BDC ; and they are therefore equal ...
If the sides AD , DF of the parallelograms ABCD , DBCF opposite to the base BC be terminated in the same point D ; it is plain that each of the parallelograms is B с double ( 28. 1. ) of the triangle BDC ; and they are therefore equal ...
Página 29
If a parallelogram and a triangle be upon the same base , and between the same parallels ; the parallelogram is double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon the same base BC and A D F between the same ...
If a parallelogram and a triangle be upon the same base , and between the same parallels ; the parallelogram is double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon the same base BC and A D F between the same ...
Página 31
But the parallelogram BL is double ( 35. 1. ) of the triangle ABD , because they are upon the same base , BD , and between the same parallels , BD , AL ; and the square GB is double of the triangle BFC because these also are upon the ...
But the parallelogram BL is double ( 35. 1. ) of the triangle ABD , because they are upon the same base , BD , and between the same parallels , BD , AL ; and the square GB is double of the triangle BFC because these also are upon the ...
Página 39
And the parallelD ogram FECG is likewise double B E ( 35. 1. ) of the triangle AEC , because it is upon the same base , and between the same parallels : Thereforc the parallelogram FECG is equal to the triangle ABC , and it has one of ...
And the parallelD ogram FECG is likewise double B E ( 35. 1. ) of the triangle AEC , because it is upon the same base , and between the same parallels : Thereforc the parallelogram FECG is equal to the triangle ABC , and it has one of ...
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Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Información bibliográfica
| Título | 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 |
| Autor | John Playfair |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
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