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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Resultat 6-10 av 57
Side 30
... diameter of any 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 ...
... diameter of any 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 ...
Side 40
... diameter is HK , and AG , ME are the parallelograms about HK ; and LB , BF are the complements ; therefore LB is equal ( 36 . 1. ) to BF : but BF is equal to the triangle C ; wherefore LB is equal to the triangle C ; and because the ...
... diameter is HK , and AG , ME are the parallelograms about HK ; and LB , BF are the complements ; therefore LB is equal ( 36 . 1. ) to BF : but BF is equal to the triangle C ; wherefore LB is equal to the triangle C ; and because the ...
Side 44
... diameter , to- gether with the two complements , is called a Gnomon . " Thus the paral- " lelogram HG , together with the " complements AF , FC , is the gno- of the parallelogram AC . This 66 gnomon may also , for the sake of " brevity ...
... diameter , to- gether with the two complements , is called a Gnomon . " Thus the paral- " lelogram HG , together with the " complements AF , FC , is the gno- of the parallelogram AC . This 66 gnomon may also , for the sake of " brevity ...
Side 47
... diameter of a square are likewise squares . SCHOLIUM . This property is derived from the square of a binomial . For , let the two parts into which this line is divided be denoted by a and b ; then , ( a + b ) 2 = a2 + 2ab + b2 . PROP ...
... diameter of a square are likewise squares . SCHOLIUM . This property is derived from the square of a binomial . For , let the two parts into which this line is divided be denoted by a and b ; then , ( a + b ) 2 = a2 + 2ab + b2 . PROP ...
Side 54
... diameters are AC and BD ; the sum of the squares of AC and BD is equal to the sum of the squares of AB , BC , CD , DA . A E D Let AC and BD intersect one another in E : and because the vertical angles AED , CEB are equal ( 8. 1. ) , and ...
... diameters are AC and BD ; the sum of the squares of AC and BD is equal to the sum of the squares of AB , BC , CD , DA . A E D Let AC and BD intersect one another in E : and because the vertical angles AED , CEB are equal ( 8. 1. ) , and ...
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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