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 TrigonometryW.E. Dean, 1836 - 311 σελίδες |
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Σελίδα 68
... circle , and therefore the straight B line AG cuts the circle . C G H A D Cor . 1. From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ...
... circle , and therefore the straight B line AG cuts the circle . C G H A D Cor . 1. From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ...
Σελίδα 76
... circle , the angles made by this line with the line which touches the circle , shall be equal to the angles in the alternate segments of the circle . Let the straight line EF touch the circle ABCD in B , and from the point B let the ...
... circle , the angles made by this line with the line which touches the circle , shall be equal to the angles in the alternate segments of the circle . Let the straight line EF touch the circle ABCD in B , and from the point B let the ...
Σελίδα 79
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair ... touches the circle . D Draw the straight line DE touching the circle ABC ; find the centre F , and join FE , FB ...
... Circle, and the Geometry of Solids ; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair ... touches the circle . D Draw the straight line DE touching the circle ABC ; find the centre F , and join FE , FB ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder definition 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 spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore