Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Σελίδα 7
... POLYGONS . 177 Book IV . AREA OF POLYGONS 231 BOOK V. REGULAR POLYGONS . MEASUREMENT OF THE CIRCLE . 261 NUMERICAL APPLICATIONS OF PLANE GEOMETRY . 304 MODERN GEOMETRIC CONCEPTS 319 HISTORY OF GEOMETRY 324 REVIEW EXERCISES 333 PRACTICAL ...
... POLYGONS . 177 Book IV . AREA OF POLYGONS 231 BOOK V. REGULAR POLYGONS . MEASUREMENT OF THE CIRCLE . 261 NUMERICAL APPLICATIONS OF PLANE GEOMETRY . 304 MODERN GEOMETRIC CONCEPTS 319 HISTORY OF GEOMETRY 324 REVIEW EXERCISES 333 PRACTICAL ...
Σελίδα 72
... are equal ) . Art . 64 . Art . 47 . Q. E. D. 163. COR . Two rectangles which have equal bases and equal altitudes are equal . Ex . Construct exactly an angle of 30 ° , POLYGONS 164. A polygon is a portion of a plane 72 BOOK I. PLANE ...
... are equal ) . Art . 64 . Art . 47 . Q. E. D. 163. COR . Two rectangles which have equal bases and equal altitudes are equal . Ex . Construct exactly an angle of 30 ° , POLYGONS 164. A polygon is a portion of a plane 72 BOOK I. PLANE ...
Σελίδα 73
Fletcher Durell. POLYGONS 164. A polygon is a portion of a plane bounded by straight lines , as ABCDE . The sides of a polygon are its bounding lines ; the perimeter of a polygon is the sum of its sides ; the angles of a polygon are the ...
Fletcher Durell. POLYGONS 164. A polygon is a portion of a plane bounded by straight lines , as ABCDE . The sides of a polygon are its bounding lines ; the perimeter of a polygon is the sum of its sides ; the angles of a polygon are the ...
Σελίδα 74
... polygon is meant . 169. Two mutually equiangular polygons are polygons whose corresponding angles are equal , as ... polygon of three sides is called a triangle ; one of four sides , a quadrilateral ; one of five sides , a pentagon ; of ...
... polygon is meant . 169. Two mutually equiangular polygons are polygons whose corresponding angles are equal , as ... polygon of three sides is called a triangle ; one of four sides , a quadrilateral ; one of five sides , a pentagon ; of ...
Σελίδα 75
... polygon is equal to two right angles taken as many times , less two , as the poly- gon has sides . 000 5 sides 3 triangles 6 sides 4 triangles 7 sides 5 triangles Given a polygon of n sides ( the above polygons of 5 , 6 , 7 sides being ...
... polygon is equal to two right angles taken as many times , less two , as the poly- gon has sides . 000 5 sides 3 triangles 6 sides 4 triangles 7 sides 5 triangles Given a polygon of n sides ( the above polygons of 5 , 6 , 7 sides being ...
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...