Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Σελίδα 102
... , taken in order , form a rhombus or a square . Ex . 45. The bisectors of the angles of a trapezoid form a quadri- lateral whose opposite angles are supplementary . # BOOK II THE CIRCLE 197. A circle is a portion 102 BOOK I. PLANE GEOMETRY.
... , taken in order , form a rhombus or a square . Ex . 45. The bisectors of the angles of a trapezoid form a quadri- lateral whose opposite angles are supplementary . # BOOK II THE CIRCLE 197. A circle is a portion 102 BOOK I. PLANE GEOMETRY.
Σελίδα 103
Fletcher Durell. BOOK II THE CIRCLE 197. A circle is a portion of a plane bounded by a curved line , all points of which are equally distant from a point within called the center . The circumference of a circle is the curved line ...
Fletcher Durell. BOOK II THE CIRCLE 197. A circle is a portion of a plane bounded by a curved line , all points of which are equally distant from a point within called the center . The circumference of a circle is the curved line ...
Σελίδα 104
... circle is a portion of the circle bounded by an are and its chord , as ABC ( Fig . 3 ) . Into how many segments does each chord divide a circle ? A semicircle is a segment bounded by a semicircumfer- ence and its diameter . 203. A ...
... circle is a portion of the circle bounded by an are and its chord , as ABC ( Fig . 3 ) . Into how many segments does each chord divide a circle ? A semicircle is a segment bounded by a semicircumfer- ence and its diameter . 203. A ...
Σελίδα 105
... circle , a segment in it , and an angle in- scribed in the segment . 205. Two circles tangent to each other are circles which are tangent to the same straight line at the same ... CIRCLE INFERRED IMMEDIATELY 208. Radii of the THE CIRCLE 105.
... circle , a segment in it , and an angle in- scribed in the segment . 205. Two circles tangent to each other are circles which are tangent to the same straight line at the same ... CIRCLE INFERRED IMMEDIATELY 208. Radii of the THE CIRCLE 105.
Σελίδα 106
Fletcher Durell. PROPERTIES OF THE CIRCLE INFERRED IMMEDIATELY 208. Radii of the same circle , or of equal circles , are equal . 209. The diameter of a circle equals twice its radius . 210. Diameters of the same circle , or of equal ...
Fletcher Durell. PROPERTIES OF THE CIRCLE INFERRED IMMEDIATELY 208. Radii of the same circle , or of equal circles , are equal . 209. The diameter of a circle equals twice its radius . 210. Diameters of the same circle , or of equal ...
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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...