Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 sider |
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Side iii
... geometry as properties of the space in which they live , and not merely as statements in a book . The important features by which the Plane Geometry seeks to accomplish these purposes are : 1. The simplification of the first five ...
... geometry as properties of the space in which they live , and not merely as statements in a book . The important features by which the Plane Geometry seeks to accomplish these purposes are : 1. The simplification of the first five ...
Side iv
... geometric construction and proofs and for algebraic computation . They are not of the puzzle type , but require a thorough acquaintance with geometric facts and develop the power to use mathematics . These problems form an entirely new ...
... geometric construction and proofs and for algebraic computation . They are not of the puzzle type , but require a thorough acquaintance with geometric facts and develop the power to use mathematics . These problems form an entirely new ...
Side v
... geometric con- structions . The formal development then follows gradually and is characterized by a judicious guidance of the student , by questions , outlines , and other devices , into an attitude of mental independence and an ...
... geometric con- structions . The formal development then follows gradually and is characterized by a judicious guidance of the student , by questions , outlines , and other devices , into an attitude of mental independence and an ...
Side vii
... Geometric Figures Tests for Congruence of Triangles Construction of Geometric Figures Theorems and Demonstrations . Inequalities of Parts of Triangles Theorems on Parallel Lines Applications of Theorems on Parallels Other Theorems on ...
... Geometric Figures Tests for Congruence of Triangles Construction of Geometric Figures Theorems and Demonstrations . Inequalities of Parts of Triangles Theorems on Parallel Lines Applications of Theorems on Parallels Other Theorems on ...
Side viii
... Geometric Magnitudes . Graphic Representation 207 Dependence of Variables 215 Limit of a Variable 217 • CHAPTER VII . Review and Further Applications . On Definitions and Proofs . 220 Loci Considerations 226 Problems and Applications ...
... Geometric Magnitudes . Graphic Representation 207 Dependence of Variables 215 Limit of a Variable 217 • CHAPTER VII . Review and Further Applications . On Definitions and Proofs . 220 Loci Considerations 226 Problems and Applications ...
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Plane Geometry: With Problems and Applications Herbert Ellsworth Slaught,Nels Johann Lennes Uten tilgangsbegrensning - 1910 |
Plane Geometry: With Problems and Applications Herbert Ellsworth Slaught,Nels Johann Lennes Uten tilgangsbegrensning - 1910 |
Vanlige uttrykk og setninger
ABCD acute angle adjacent angles altitude angle formed angles are equal apothem axes of symmetry axioms base bisects central angle chord circle tangent circumscribed coincide congruent corresponding sides Definition diagonal diameter distance divided dodecagon Draw drawn equal angles equal circles equiangular equilateral triangle EXERCISES exterior angle figure Find the area Find the locus Find the radius fixed point geometric Give the proof given point given segment given triangle Hence hypotenuse hypothesis inches inscribed intersection isosceles trapezoid isosceles triangle length line-segment measure meet middle points number of sides Outline of Proof parallel lines parallelogram perigon perimeter plane proof in full quadrilateral radii ratio rectangle regular hexagon regular octagon regular polygon rhombus right angles right triangle secant semicircle Show shown square straight angle straight line subtend SUGGESTION THEOREM trapezoid triangle ABC vertex vertices width ᎠᏴ
Populære avsnitt
Side 223 - If two triangles have two sides of the one equal to two sides of the other...
Side 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Side 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Side 60 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Side 182 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Side 161 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Side 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Side 210 - The area of a rectangle is equal to the product of its base and altitude.
Side 31 - Kuclid divided unproved propositions into two classes: axioms, or "common notions," which are true of all things, such as, " If things are equal to the same thing they are equal to each other"; and postulates, which apply only to geometry, such as,