Plane GeometryAmerican Book Company, 1906 - 254 σελίδες |
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Σελίδα 95
... feet of the perpendiculars . ( 2 ) The sum of the perpendiculars will equal the diameter . ( 3 ) The center will be equally distant from the feet of the perpendic- ulars . [ Use 67. ] 42. The two common interior tangents of two circles ...
... feet of the perpendiculars . ( 2 ) The sum of the perpendiculars will equal the diameter . ( 3 ) The center will be equally distant from the feet of the perpendic- ulars . [ Use 67. ] 42. The two common interior tangents of two circles ...
Σελίδα 112
... of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of these perpendiculars . To Prove : BS bisects RST , etc. A Proof : If a circle be described on 40 as 112 PLANE GEOMETRY.
... of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of these perpendiculars . To Prove : BS bisects RST , etc. A Proof : If a circle be described on 40 as 112 PLANE GEOMETRY.
Σελίδα 163
... the indefinite line between the feet of the two perpendiculars to it , from the extremities of the definite line . The projection of AB is CD ; of RS is RT ; of LM is NM . 340. THEOREM . If in a right triangle a perpendicular BOOK III 163.
... the indefinite line between the feet of the two perpendiculars to it , from the extremities of the definite line . The projection of AB is CD ; of RS is RT ; of LM is NM . 340. THEOREM . If in a right triangle a perpendicular BOOK III 163.
Σελίδα 168
... feet ; what is the diagonal ? 3. The base of an isosceles triangle is 16 and the altitude is 15 ; find the equal ... feet and its distance from the center is 35 inches ; find the radius of the circle . 7. The hypotenuse of a right ...
... feet ; what is the diagonal ? 3. The base of an isosceles triangle is 16 and the altitude is 15 ; find the equal ... feet and its distance from the center is 35 inches ; find the radius of the circle . 7. The hypotenuse of a right ...
Σελίδα 169
... feet from the center of a circle whose diameter is 5 feet . 19. A flagpole was broken 16 feet from the ground , and the top struck the ground 63 feet from the foot of the pole . How long was the pole ? 20. The top of a ladder 17 feet ...
... feet from the center of a circle whose diameter is 5 feet . 19. A flagpole was broken 16 feet from the ground , and the top struck the ground 63 feet from the foot of the pole . How long was the pole ? 20. The top of a ladder 17 feet ...
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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"