Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página vii
... Quadrilaterals 54 Polygons 66 Symmetry 68 Methods of Attack 72 Summary of Chapter I 75 Problems and Applications 76 CHAPTER II . Straight Lines and Circles . Theorems on the Circle 86 Measurement of Angles 88 Problems and Applications ...
... Quadrilaterals 54 Polygons 66 Symmetry 68 Methods of Attack 72 Summary of Chapter I 75 Problems and Applications 76 CHAPTER II . Straight Lines and Circles . Theorems on the Circle 86 Measurement of Angles 88 Problems and Applications ...
Página 53
... inside the triangle ? 4. Do the perpendicular bisectors of the sides always meet inside the triangle ? Draw figures to illustrate the various cases . THEOREMS ON QUADRILATERALS . 134. Definitions . If no three RECTILINEAR FIGURES . 53.
... inside the triangle ? 4. Do the perpendicular bisectors of the sides always meet inside the triangle ? Draw figures to illustrate the various cases . THEOREMS ON QUADRILATERALS . 134. Definitions . If no three RECTILINEAR FIGURES . 53.
Página 54
... quadrilateral . C D A B The segments are the sides of the quadrilateral and the points are its vertices . Two sides are adjacent if they meet in a ... quadrilateral having only one pair 54 PLANE GEOMETRY . Theorems on Quadrilaterals.
... quadrilateral . C D A B The segments are the sides of the quadrilateral and the points are its vertices . Two sides are adjacent if they meet in a ... quadrilateral having only one pair 54 PLANE GEOMETRY . Theorems on Quadrilaterals.
Página 55
... quadrilateral having only one pair of opposite sides parallel . An isosceles trapezoid is one in which the two non ... quadrilaterals on page 4 : IHPN , IHGO , AEDB , COED , JMPG , RSED , KLWV , JIBC . To deter- mine whether ...
... quadrilateral having only one pair of opposite sides parallel . An isosceles trapezoid is one in which the two non ... quadrilaterals on page 4 : IHPN , IHGO , AEDB , COED , JMPG , RSED , KLWV , JIBC . To deter- mine whether ...
Página 56
... quadrilateral has both pairs of opposite sides equal , the figure is a parallelogram . D C 2-4 31 A B Given a quadrilateral ABCD in which AB = CD and AD = BC . To prove that AB || CD and AD || BC . Proof : Draw the diagonal AC . In the ...
... quadrilateral has both pairs of opposite sides equal , the figure is a parallelogram . D C 2-4 31 A B Given a quadrilateral ABCD in which AB = CD and AD = BC . To prove that AB || CD and AD || BC . Proof : Draw the diagonal AC . In the ...
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Términos y frases comunes
ABCD acute angle adjacent angles altitude angle formed angles are equal apothem axes of symmetry axioms base bisects called 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 l₁ 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
Pasajes populares
Página 223 - If two triangles have two sides of the one equal to two sides of the other...
Página 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 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.
Página 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.
Página 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.
Página 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Página 210 - The area of a rectangle is equal to the product of its base and altitude.
Página 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,