Plane GeometryAmerican Book Company, 1906 - 254 σελίδες |
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Αποτελέσματα 1 - 5 από τα 59.
Σελίδα 79
... TANGENT POINT OF CONTACT CENTRAL ANGLE SEMI- INSCRIBED ANGLE CIRCUMFERENCES SEMICIRCLES ARC A secant is a straight line cutting the circumference in two points . A chord is a straight line whose extremities are in the cir- cumference ...
... TANGENT POINT OF CONTACT CENTRAL ANGLE SEMI- INSCRIBED ANGLE CIRCUMFERENCES SEMICIRCLES ARC A secant is a straight line cutting the circumference in two points . A chord is a straight line whose extremities are in the cir- cumference ...
Σελίδα 80
... TANGENT CIRCLES EXTERNALLY TANGENT 197. A sector is the part of a circle bounded by two radii and their included arc . A segment of a circle is the part of a circle bounded by an arc and its chord . A semicircle is a segment bounded by ...
... TANGENT CIRCLES EXTERNALLY TANGENT 197. A sector is the part of a circle bounded by two radii and their included arc . A segment of a circle is the part of a circle bounded by an arc and its chord . A semicircle is a segment bounded by ...
Σελίδα 86
... tangent ( Def . 194 ) . Q.E.D. 216. THEOREM . If a line is tangent to a circle , the radius drawn to the point of contact is perpendicular to the tangent . Given : RT tangent to O at 4 ; radius OA . To Prove : OAL to RT . Proof : Every ...
... tangent ( Def . 194 ) . Q.E.D. 216. THEOREM . If a line is tangent to a circle , the radius drawn to the point of contact is perpendicular to the tangent . Given : RT tangent to O at 4 ; radius OA . To Prove : OAL to RT . Proof : Every ...
Σελίδα 87
... tangent internally . 219. THEOREM . Two tangents drawn to a circle from an external point are equal . B NOTE . In this theorem the word " tangent " signifies the distance be- tween the external point and the point of contact . Given : 0 ...
... tangent internally . 219. THEOREM . Two tangents drawn to a circle from an external point are equal . B NOTE . In this theorem the word " tangent " signifies the distance be- tween the external point and the point of contact . Given : 0 ...
Σελίδα 88
... tangents . II . The angle formed by the radii . III . The chord joining the points of contact . IV . The arc intercepted by the tangents . Proof : AOAP and OBP are rt . △ ( ? ) . They are = . ( Explain . ) I. ZAPO = _BP0 ( ? ) . II ...
... tangents . II . The angle formed by the radii . III . The chord joining the points of contact . IV . The arc intercepted by the tangents . Proof : AOAP and OBP are rt . △ ( ? ) . They are = . ( Explain . ) I. ZAPO = _BP0 ( ? ) . II ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle altitude angle adjoining angle formed apothem base bisector bisects central angle circles are tangent circumscribed circle construct a square construct a triangle described diagonals diameter divided Draw chord Draw radii equal angles equal circles equal sides equally distant equiangular polygon equilateral triangle exterior angle figure Find the area given circle given line given point given triangle Hence homologous sides hypotenuse inches inscribed angle isosceles trapezoid isosceles triangle line joining lines be drawn mean proportional measured by arc median meeting number of sides pair parallel parallelogram perimeter perpendicular point of contact produced Prove quadrilateral ratio rectangle regular polygon rhombus right angles right triangle secant segments similar polygons similar triangles square equivalent Statement straight line tangent THEOREM trapezoid triangle ABC triangles are equal vertex vertex-angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 42 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Σελίδα 148 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 79 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 230 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.
Σελίδα 43 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 243 - Prove that the area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and the circumscribed equilateral triangles.
Σελίδα 49 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Σελίδα 14 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.
Σελίδα 145 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 186 - To construct a circle which shall pass through two given points and touch a given line. Given : Points A and B ; line CD. Construction: Draw line AB meeting CD ^ P"