Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Σελίδα 1
... MATHEMATICAL DEPARTMENT , THE LAWRENCEVILLE SCHOOL I C⋅EM · NEW YORK CHARLES E. MERRILL CO . 44-60 EAST TWENTY - THIRD STREET Durell's Mathematical Series Two Book Series Elementary Arithmetic Advanced Arithmetic 1912 PLANE GEOMETRY.
... MATHEMATICAL DEPARTMENT , THE LAWRENCEVILLE SCHOOL I C⋅EM · NEW YORK CHARLES E. MERRILL CO . 44-60 EAST TWENTY - THIRD STREET Durell's Mathematical Series Two Book Series Elementary Arithmetic Advanced Arithmetic 1912 PLANE GEOMETRY.
Σελίδα 19
... third its supplement ? Ex . 19. What kind of an angle is greater than its supplement ? What kind is less ? PRIMARY RELATIONS OF GEOMETRIC MAGNITUDES 42. Certain primary relations of geometric objects have already been given in the ...
... third its supplement ? Ex . 19. What kind of an angle is greater than its supplement ? What kind is less ? PRIMARY RELATIONS OF GEOMETRIC MAGNITUDES 42. Certain primary relations of geometric objects have already been given in the ...
Σελίδα 20
... third , then the first is greater than the third . 46. The value of the general axioms . The axioms 20 PLANE GEOMETRY.
... third , then the first is greater than the third . 46. The value of the general axioms . The axioms 20 PLANE GEOMETRY.
Σελίδα 22
... third geometric axiom can be made more evident when we come to use it in proving new geometric truths . 49. A postulate in geometry is a construction of a geo- metric figure admitted as possible . 50. The postulates of geometry may be ...
... third geometric axiom can be made more evident when we come to use it in proving new geometric truths . 49. A postulate in geometry is a construction of a geo- metric figure admitted as possible . 50. The postulates of geometry may be ...
Σελίδα 34
... third side . For a straight line is the shortest line between two points ( Art . 15. ) Ex . 1. Point out the hypothesis and conclusion in the general enun- ciation of Prop . III ; also point them out in the particular enunciation . ( As ...
... third side . For a straight line is the shortest line between two points ( Art . 15. ) Ex . 1. Point out the hypothesis and conclusion in the general enun- ciation of Prop . III ; also point them out in the particular enunciation . ( As ...
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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...