Plane GeometryAmerican Book Company, 1906 - 254 σελίδες |
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Αποτελέσματα 1 - 5 από τα 30.
Σελίδα 27
... external point . Given : PRL to AB from P ; PD any other line from P to AB . To Prove : PD cannot be to AB ; that is , PR is the only 1 to AB from P. Proof : Extend PR to S , mak- ing RS PR ; draw DS . In rt . A PDR and SDR , PR = RS ...
... external point . Given : PRL to AB from P ; PD any other line from P to AB . To Prove : PD cannot be to AB ; that is , PR is the only 1 to AB from P. Proof : Extend PR to S , mak- ing RS PR ; draw DS . In rt . A PDR and SDR , PR = RS ...
Σελίδα 31
... external point it is not possible to draw three equal lines to a given straight line . 77. THEOREM . The perpendicular is the shortest line that can be drawn from a point to a straight line . Given : PRL to AB ; PC not 1 . To Prove : PR ...
... external point it is not possible to draw three equal lines to a given straight line . 77. THEOREM . The perpendicular is the shortest line that can be drawn from a point to a straight line . Given : PRL to AB ; PC not 1 . To Prove : PR ...
Σελίδα 75
... ( externally ) and a line be drawn from each vertex of the given triangle to the farthest vertex of the opposite equi- lateral triangle , these three lines will be equal . Proof : of these , EAC = Z BAF ( ? ) . Add to each CAB . : . ZEAB ...
... ( externally ) and a line be drawn from each vertex of the given triangle to the farthest vertex of the opposite equi- lateral triangle , these three lines will be equal . Proof : of these , EAC = Z BAF ( ? ) . Add to each CAB . : . ZEAB ...
Σελίδα 80
... 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 a ...
... 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 a ...
Σελίδα 87
... 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 ; tangents PA , PB . To Prove : Distance PA = distance PB . Proof : Draw ...
... 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 ; tangents PA , PB . To Prove : Distance PA = distance PB . Proof : Draw ...
Άλλες εκδόσεις - Προβολή όλων
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"