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 21-25 av 45
Side 91
... parallelogram , and their opposite sides are equal ( 28. 1. ) ; and because that AD is equal to AB , and that AE is the half of AD , and AF the half of AB , AE is equal to AF ; wherefore the sides opposite to these are equal , viz . FG ...
... parallelogram , and their opposite sides are equal ( 28. 1. ) ; and because that AD is equal to AB , and that AE is the half of AD , and AF the half of AB , AE is equal to AF ; wherefore the sides opposite to these are equal , viz . FG ...
Side 115
... parallelogram is the perpendicu- lar which measures the distance of two oppo- site sides , taken as bases . And the altitude of a trapezoid is the perpendicular drawn between its two parallel sides . PROP . I. THEOR . Triangles and ...
... parallelogram is the perpendicu- lar which measures the distance of two oppo- site sides , taken as bases . And the altitude of a trapezoid is the perpendicular drawn between its two parallel sides . PROP . I. THEOR . Triangles and ...
Side 116
... parallelogram EC to the parallelogram CF. EA F Produce BD both ways to the points H , L , and take any number of straight lines BG , GH , each equal to the base BC ; and DK , KL , any number of them , each equal to the base CD ; and ...
... parallelogram EC to the parallelogram CF. EA F Produce BD both ways to the points H , L , and take any number of straight lines BG , GH , each equal to the base BC ; and DK , KL , any number of them , each equal to the base CD ; and ...
Side 120
... parallelogram ; and conse- quently AF is equal to CD , and AC to FD ( 27. 1. ) : And because AC is parallel to FE , one of the sides of the triangle FBE , BA : AF :: BC : CE ( 2 : 6. ) ; but AF is equal to CD ; therefore ( 7. 5. ) BA ...
... parallelogram ; and conse- quently AF is equal to CD , and AC to FD ( 27. 1. ) : And because AC is parallel to FE , one of the sides of the triangle FBE , BA : AF :: BC : CE ( 2 : 6. ) ; but AF is equal to CD ; therefore ( 7. 5. ) BA ...
Side 126
... parallelogram FE ; and because the parallelograms AB , BC are equal , and FE is another parallelogram , AB FE BC : FE ( 7. 5. ) : but because the parallelograms AB , FE have the same altitude , AB : FE : DB : BE ( 1. 6. ) , also , BC ...
... parallelogram FE ; and because the parallelograms AB , BC are equal , and FE is another parallelogram , AB FE BC : FE ( 7. 5. ) : but because the parallelograms AB , FE have the same altitude , AB : FE : DB : BE ( 1. 6. ) , also , BC ...
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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 |
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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