Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Αποτελέσματα 1 - 5 από τα 57.
Σελίδα 104
... tangent to a circle is a straight line which , if produced , has but one point in common with the circle , as MN . Hence , a tangent touches the circumference in one point only . A secant is a straight line which , if produced ...
... tangent to a circle is a straight line which , if produced , has but one point in common with the circle , as MN . Hence , a tangent touches the circumference in one point only . A secant is a straight line which , if produced ...
Σελίδα 105
... tangent to each other are circles which are tangent to the same straight line at the same point . They are tangent internally or externally according as one circle lies entirely within or entirely without the other . See the figures ...
... tangent to each other are circles which are tangent to the same straight line at the same point . They are tangent internally or externally according as one circle lies entirely within or entirely without the other . See the figures ...
Σελίδα 116
... tangent to the circle . D B Given the circle O , the radius OA , and the line BC 1 OA at its extremity A. To prove that BC is tangent to the O. Proof . Take P , any point on the line BC except A , and draw OP . Then OP > OA . Hence the ...
... tangent to the circle . D B Given the circle O , the radius OA , and the line BC 1 OA at its extremity A. To prove that BC is tangent to the O. Proof . Take P , any point on the line BC except A , and draw OP . Then OP > OA . Hence the ...
Σελίδα 117
... tangent to the O PCD at P , CD a secant || AB and intersecting the circumference in C and D. To prove arc PC = arc PD . Proof . Draw the diameter PQ . Then PQ 1 AB . PQ 1 CD . .. arc PC = = arc PD , Art . 230 . Art . 123 . Art . 221 ...
... tangent to the O PCD at P , CD a secant || AB and intersecting the circumference in C and D. To prove arc PC = arc PD . Proof . Draw the diameter PQ . Then PQ 1 AB . PQ 1 CD . .. arc PC = = arc PD , Art . 230 . Art . 123 . Art . 221 ...
Σελίδα 118
... tangents touch- ing the O at P and Q respectively . To prove arc PEQ = arc PFQ . Proof . Let the pupil supply the proof . 234. COR . The straight line which joins the points of contact of two parallel tangents is a diameter ...
... tangents touch- ing the O at P and Q respectively . To prove arc PEQ = arc PFQ . Proof . Let the pupil supply the proof . 234. COR . The straight line which joins the points of contact of two parallel tangents is a diameter ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle adjacent angles altitude apothem base bisects chord circumference circumscribed circumscribed circle coincide construct a square Construct a triangle denoted diagonal diameter divided draw a line equal angles equal circles equiangular polygon equidistant equilateral triangle EXERCISES exterior angle figure Find the area Find the radius geometric given angle given circle given line given point given triangle greater Hence homologous sides hypotenuse inscribed angle inscribed polygon intersect isosceles trapezoid isosceles triangle LAOB length Let the pupil line drawn median method midpoint number of sides parallel lines parallelogram perimeter plane PROBLEM produced Prop pupil supply Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angles right triangle secant segments tangent THEOREM third side trapezoid triangle ABC vertex vertex angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 82 - Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Σελίδα 88 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 103 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Σελίδα 211 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 78 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Σελίδα 103 - A chord is a straight line joining the extremities of an arc.
Σελίδα 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Σελίδα 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Σελίδα 315 - Find the area of a regular hexagon inscribed in a circle whose diameter is twelve inches.
Σελίδα 241 - If two triangles have an angle of one equal to an angle of the other, and...