Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Σελίδα 23
... theorem is a statement of a truth con- cerning geometric objects which requires demonstration . Ex . The sum of the ... theorem or a problem . Thus , propositions are subdivided into two classes : 1 , Theorems ; 2 , Problems . 56 ...
... theorem is a statement of a truth con- cerning geometric objects which requires demonstration . Ex . The sum of the ... theorem or a problem . Thus , propositions are subdivided into two classes : 1 , Theorems ; 2 , Problems . 56 ...
Σελίδα 24
... theorem , " if A is B , then X is Y ; " converse , " if X is Y , then A is B ; " Frequently a converse is formed by interchanging part only of an hypothesis with part or all of the conclusion , or vice versa . Thus , theorem , " if A is ...
... theorem , " if A is B , then X is Y ; " converse , " if X is Y , then A is B ; " Frequently a converse is formed by interchanging part only of an hypothesis with part or all of the conclusion , or vice versa . Thus , theorem , " if A is ...
Σελίδα 25
... theorem and its proof consist of certain distinct parts which it is impor- tant to keep clearly in mind . These parts are : 1. The general enunciation , which is the statement of the theorem in general terms . 2. The particular ...
... theorem and its proof consist of certain distinct parts which it is impor- tant to keep clearly in mind . These parts are : 1. The general enunciation , which is the statement of the theorem in general terms . 2. The particular ...
Σελίδα 29
... may be proved that LAODL COB . Ax . 1 . Ax . 3 . Q. E. D. Ex . If in the above figure ZDOB = 70 ° , find the other angles without measuring them . PROPOSITION II . THEOREM 79. If , from a point ( 29 ) RECTILINEAR FIGURES.
... may be proved that LAODL COB . Ax . 1 . Ax . 3 . Q. E. D. Ex . If in the above figure ZDOB = 70 ° , find the other angles without measuring them . PROPOSITION II . THEOREM 79. If , from a point ( 29 ) RECTILINEAR FIGURES.
Σελίδα 30
Fletcher Durell. PROPOSITION II . THEOREM 79. If , from a point in a perpendicular to a given line , two oblique lines be drawn cutting off on the given line equal segments ... THEOREM 80. From a given point without 30 BOOK I. PLANE GEOMETRY.
Fletcher Durell. PROPOSITION II . THEOREM 79. If , from a point in a perpendicular to a given line , two oblique lines be drawn cutting off on the given line equal segments ... THEOREM 80. From a given point without 30 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...