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, 1851 - 317 sider |
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Resultat 1-5 av 31
Side 61
... tangent , and the point in com- mon , the point of contact . 2. Circles are said to touch one another , which meet , but do not cut one another . 3. Straight lines are said to be equally dis- tant from the centre of a circle , when the ...
... tangent , and the point in com- mon , the point of contact . 2. Circles are said to touch one another , which meet , but do not cut one another . 3. Straight lines are said to be equally dis- tant from the centre of a circle , when the ...
Side 72
... tangent to a circle is perpendicular to the diameter drawn from the point of contact . COR . 3. It follows , likewise , that tangents at each extremity of the diameter are parallel ( Cor . 28. B. 1. ) ; and , conversely , parallel ...
... tangent to a circle is perpendicular to the diameter drawn from the point of contact . COR . 3. It follows , likewise , that tangents at each extremity of the diameter are parallel ( Cor . 28. B. 1. ) ; and , conversely , parallel ...
Side 73
... tangents passing through the point A. For , by producing the tangent FD till it meets the circumference AG , and joining E and the point of intersection , and also A and the point where this last line will intersect the circumference DC ...
... tangents passing through the point A. For , by producing the tangent FD till it meets the circumference AG , and joining E and the point of intersection , and also A and the point where this last line will intersect the circumference DC ...
Side 85
... tangent , it follows that the angle included by two tangents , drawn from the same point , is bisected by a line drawn from the centre of the circle to that point ; for this line forms the hypotenuse common to two equal right angled ...
... tangent , it follows that the angle included by two tangents , drawn from the same point , is bisected by a line drawn from the centre of the circle to that point ; for this line forms the hypotenuse common to two equal right angled ...
Side 89
... tangents to the circle , as AB , CD ; then , each A of the arcs intercepted is a semi - cir- cumference , as their ... tangent , the other a chord , which being perpendicular to FE , the arc GEH is bisected by FE ( Cor . 4. Prop . D ...
... tangents to the circle , as AB , CD ; then , each A of the arcs intercepted is a semi - cir- cumference , as their ... tangent , the other a chord , which being perpendicular to FE , the arc GEH is bisected by FE ( Cor . 4. Prop . D ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1851 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1857 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore