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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα 32
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ...
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ...
Σελίδα 33
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair ... ABC be a triangle , of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the ...
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair ... ABC be a triangle , of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the ...
Σελίδα 36
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ... ABC , DEF be two triangles which have the two sides AB , AC , equal to the ...
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ... ABC , DEF be two triangles which have the two sides AB , AC , equal to the ...
Σελίδα 37
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair ... ABC , DEF be two triangles which have the angles ABC , BCA equal to the angles DEF , EFD , viz . ABC to DEF , and BCA ...
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair ... ABC , DEF be two triangles which have the angles ABC , BCA equal to the angles DEF , EFD , viz . ABC to DEF , and BCA ...
Σελίδα 41
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair ... ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and ...
... Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair ... ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore