Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Σελίδα 5
... construct the figure required and to make the particular enunciation from it . Many pupils , who are quite unable to do this preliminary work , after it is done can readily discover a proof or a solution . In many exercises in this book ...
... construct the figure required and to make the particular enunciation from it . Many pupils , who are quite unable to do this preliminary work , after it is done can readily discover a proof or a solution . In many exercises in this book ...
Σελίδα 22
... constructing figures in geometry . One of the objects of the study of geometry is to discover what geometric figures can be constructed by a combination of the elementary con- structions allowed in the postulates ; that is , by the use ...
... constructing figures in geometry . One of the objects of the study of geometry is to discover what geometric figures can be constructed by a combination of the elementary con- structions allowed in the postulates ; that is , by the use ...
Σελίδα 23
... construct a triangle containing three equal angles . 55. A proposition is a general term for either a theorem or a problem . Thus , propositions are subdivided into two classes : 1 , Theorems ; 2 , Problems . 56. Immediate inference is ...
... construct a triangle containing three equal angles . 55. A proposition is a general term for either a theorem or a problem . Thus , propositions are subdivided into two classes : 1 , Theorems ; 2 , Problems . 56. Immediate inference is ...
Σελίδα 35
... the difference of the other two sides is 12 inches ? Ex . 4. On a given line as base , by exact use of ruler and com- passes , construct an equilateral triangle . PROPOSITION V. THEOREM 95. If , from a point within TRIANGLES 35.
... the difference of the other two sides is 12 inches ? Ex . 4. On a given line as base , by exact use of ruler and com- passes , construct an equilateral triangle . PROPOSITION V. THEOREM 95. If , from a point within TRIANGLES 35.
Σελίδα 36
... 9 . Q. E. D. Ex . On a given line as base , by exact use of ruler and compasses , construct an isosceles triangle each of whose legs is double the base . PROPOSITION VI . THEOREM 96. Two triangles are equal if 36 BOOK I. PLANE GEOMETRY.
... 9 . Q. E. D. Ex . On a given line as base , by exact use of ruler and compasses , construct an isosceles triangle each of whose legs is double the base . PROPOSITION VI . THEOREM 96. Two triangles are equal if 36 BOOK I. PLANE GEOMETRY.
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...