Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 σελίδες |
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Σελίδα iii
... inscribed , escribed , and circumscribed circles , in terms of the three sides . Chapter VI contains a graphic representation of certain im- portant theorems and an informal presentation of incommen- surable cases and limits . The ...
... inscribed , escribed , and circumscribed circles , in terms of the three sides . Chapter VI contains a graphic representation of certain im- portant theorems and an informal presentation of incommen- surable cases and limits . The ...
Σελίδα 85
... inscribed angle . If the sides of an angle meet a circle the arc or arcs which lie within the angle are called intercepted arcs . If the vertex of the angle is within or on the circle there is only one intercepted arc ; if it is outside ...
... inscribed angle . If the sides of an angle meet a circle the arc or arcs which lie within the angle are called intercepted arcs . If the vertex of the angle is within or on the circle there is only one intercepted arc ; if it is outside ...
Σελίδα 94
... ( d ) How many axes of symmetry has the solid figure ? ( e ) Show that O'K is tangent to ŔŇ by drawing O'C and fold- ing the figure over on the axis of symmetry MN . 210. THEOREM . An angle inscribed in a circle is 94 PLANE GEOMETRY .
... ( d ) How many axes of symmetry has the solid figure ? ( e ) Show that O'K is tangent to ŔŇ by drawing O'C and fold- ing the figure over on the axis of symmetry MN . 210. THEOREM . An angle inscribed in a circle is 94 PLANE GEOMETRY .
Σελίδα 95
... inscribed in a circle is measured by one half the intercepted arc . A A B D B 12 B E E Given DBA inscribed in CB . To prove that DBA is measured by AD . Proof : ( 1 ) If one side , as BD , is a diameter . Draw the radius CA. Show that 2 ...
... inscribed in a circle is measured by one half the intercepted arc . A A B D B 12 B E E Given DBA inscribed in CB . To prove that DBA is measured by AD . Proof : ( 1 ) If one side , as BD , is a diameter . Draw the radius CA. Show that 2 ...
Σελίδα 98
... inscribed angle forms equal angles with the two sides , if these are equal chords . 2. If the vertices of a quadrilateral lie on a circle , any two of its opposite angles are supplementary . 3. If two chords of a circle are ...
... inscribed angle forms equal angles with the two sides , if these are equal chords . 2. If the vertices of a quadrilateral lie on a circle , any two of its opposite angles are supplementary . 3. If two chords of a circle are ...
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry With Problems and Applications H. E. Slaught Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD accompanying design altitude apothem arcs area bounded axes of symmetry axioms base and altitude bisectors bisects central angle chord circumference congruent corresponding sides definite diagonal diameter divided Draw drawn equal angles equal circles equilateral triangle EXERCISES exterior angle feet Find the area Find the locus Find the radius fixed point geometric Give the proof given circle given point given triangle greater Hence hypotenuse inscribed intersect isosceles triangle length line-segment measure meet middle points number of sides Outline of Proof parallel lines parallelogram perimeter perpendicular proof in full Prove quadrilateral radii ratio rectangle regular dodecagon regular hexagon regular octagon regular polygon regular triangle respectively rhombus right angle right triangle secant semicircle Show shown straight angle straight line strip subtend SUGGESTION tangent THEOREM tile trapezoid triangle ABC unit vertex vertices width
Δημοφιλή αποσπάσματα
Σελίδα 215 - If two triangles have two sides of the one equal to two sides of the other...
Σελίδα 35 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 22 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 113 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 273 - This textbook may be borrowed for two weeks, with the privilege of renewing it once. A fine of five cents a day is incurred by failure to return a book on the date when it is due. The Education Library is open from 9 to 5 daily except Saturday when it closes at 12.30.
Σελίδα 52 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 174 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Σελίδα 153 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Σελίδα 219 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Σελίδα 202 - The area of a rectangle is equal to the product of its base and altitude.