The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 2
... circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the ...
... circle . 17. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the ...
Σελίδα 3
... circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from ...
... circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from ...
Σελίδα 4
... circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the straight lines ( 1 Post . ) CA , CB , to the points A , B : ABC shall be an ...
... circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the straight lines ( 1 Post . ) CA , CB , to the points A , B : ABC shall be an ...
Σελίδα 5
... circle CGH , and from the centre D , at the distance DG , describe the circle GKL : AL shall be equal to BC . Because the point B is the centre of the circle CGH , BC is equal ( 15 Def . ) to BG ; D K H L C E And because D is the centre ...
... circle CGH , and from the centre D , at the distance DG , describe the circle GKL : AL shall be equal to BC . Because the point B is the centre of the circle CGH , BC is equal ( 15 Def . ) to BG ; D K H L C E And because D is the centre ...
Σελίδα 10
... circle FDG meeting AB in H B D F , G ; and bisect ( 10. 1. ) FG in H , and join CF , AF CH , CG ; the straight line CH , drawn from the given point C , is perpendicular to the given straight line AB . Because FH is equal ( Constr . ) to ...
... circle FDG meeting AB in H B D F , G ; and bisect ( 10. 1. ) FG in H , and join CF , AF CH , CG ; the straight line CH , drawn from the given point C , is perpendicular to the given straight line AB . Because FH is equal ( Constr . ) to ...
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ABC is equal ABCD adjacent angles angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone construction coordinate planes described Descriptive Geometry diameter dicular dihedral angles draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence horizontal hyperbola inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular perpendicular to MN plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical angle tangent THEOR trace triangle ABC trihedral vertex Whence Wherefore