Plane GeometryAmerican Book Company, 1906 - 254 σελίδες |
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Σελίδα 14
... triangle is the side on which the figure appears The vertex of a triangle is the vertex opposite the base . The vertex - angle is the angle opposite the base . I 24. Kinds of triangles : A scalene triangle is a 14 PLANE GEOMETRY Triangles.
... triangle is the side on which the figure appears The vertex of a triangle is the vertex opposite the base . The vertex - angle is the angle opposite the base . I 24. Kinds of triangles : A scalene triangle is a 14 PLANE GEOMETRY Triangles.
Σελίδα 15
Edward Rutledge Robbins. 24. Kinds of triangles : A scalene triangle is a triangle no two sides of which are equal . An isosceles triangle is a triangle two sides of which are equal . An equilateral triangle is a triangle all sides of ...
Edward Rutledge Robbins. 24. Kinds of triangles : A scalene triangle is a triangle no two sides of which are equal . An isosceles triangle is a triangle two sides of which are equal . An equilateral triangle is a triangle all sides of ...
Σελίδα 22
... triangle are equal . Given : △ ABC , AB = AC . To Prove : LB = LC . Proof : Suppose AX is drawn dividing △ BAC ... equilateral triangle is equiangular . ( See 55. ) 57. THEOREM . The line bisecting the vertex - angle of an isosceles ...
... triangle are equal . Given : △ ABC , AB = AC . To Prove : LB = LC . Proof : Suppose AX is drawn dividing △ BAC ... equilateral triangle is equiangular . ( See 55. ) 57. THEOREM . The line bisecting the vertex - angle of an isosceles ...
Σελίδα 33
... triangle has three altitudes . The bisec- tor of an angle of a triangle is the line dividing any angle into equal ... equilateral triangle : ( a ) An altitude is also a median . [ Use 73. ] [ Use 58 , 27 , 16 , 17. ] ( b ) A median is ...
... triangle has three altitudes . The bisec- tor of an angle of a triangle is the line dividing any angle into equal ... equilateral triangle : ( a ) An altitude is also a median . [ Use 73. ] [ Use 58 , 27 , 16 , 17. ] ( b ) A median is ...
Σελίδα 44
... triangle is isosceles . [ Converse of 55. ] Given : AABC ; ZA = ZC . To Prove : AB = BC . Proof : Suppose BX drawn L ... equilateral . 122. THEOREM . If two sides of a triangle are unequal , the angles opposite them are unequal , and the ...
... triangle is isosceles . [ Converse of 55. ] Given : AABC ; ZA = ZC . To Prove : AB = BC . Proof : Suppose BX drawn L ... equilateral . 122. THEOREM . If two sides of a triangle are unequal , the angles opposite them are unequal , and the ...
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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"