Elements of GeometryGinn, Heath & Company, 1884 |
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Σελίδα 74
... tangent touches the circumference is called the Point of Contact , or Point of Tangency . 171. DEF . Two Circumferences are tangent to each other when they are tangent to a straight line at the same point . 172. DEF . A Secant is a ...
... tangent touches the circumference is called the Point of Contact , or Point of Tangency . 171. DEF . Two Circumferences are tangent to each other when they are tangent to a straight line at the same point . 172. DEF . A Secant is a ...
Σελίδα 83
... tangent to the circle at A. § 171 Q. E. D. 187. COROLLARY . When a straight line is tangent to a circle , it is perpendicular to the radius drawn to the point of contact , and therefore a perpendicular to a tangent at the point of ...
... tangent to the circle at A. § 171 Q. E. D. 187. COROLLARY . When a straight line is tangent to a circle , it is perpendicular to the radius drawn to the point of contact , and therefore a perpendicular to a tangent at the point of ...
Σελίδα 85
... tangent at the point of contact passes through the centre of the O ) . .. the line C C ' , having two points in common with this , must coincide with it . .. O is in the straight line C C ' . Q. E. D. Ex . A B , a chord of a circle , is ...
... tangent at the point of contact passes through the centre of the O ) . .. the line C C ' , having two points in common with this , must coincide with it . .. O is in the straight line C C ' . Q. E. D. Ex . A B , a chord of a circle , is ...
Σελίδα 97
... tangent and a chord is measured by one - half the intercepted arc . F H M Ε A Let HAM be the angle formed by the tangent OM and chord AH . We are to prove ZHAM is measured by 1⁄2 arc A EH . Draw the diameter A C F. FAM is a rt ...
... tangent and a chord is measured by one - half the intercepted arc . F H M Ε A Let HAM be the angle formed by the tangent OM and chord AH . We are to prove ZHAM is measured by 1⁄2 arc A EH . Draw the diameter A C F. FAM is a rt ...
Σελίδα 98
... tangents , or a tangent and a secant , and which has its vertex without the circumference , is measured by one - half the concave arc , minus one - half the convex arc . 0 E C S CE B S Fig . 1 . M Fig . 2 . CASE I. A D Fig . 3 . Let the ...
... tangents , or a tangent and a secant , and which has its vertex without the circumference , is measured by one - half the concave arc , minus one - half the convex arc . 0 E C S CE B S Fig . 1 . M Fig . 2 . CASE I. A D Fig . 3 . Let the ...
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A B C AABC ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B Mailing price measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC vertex vertices Wentworth