Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
Dentro del libro
Resultados 1-5 de 16
Página 54
... Rhombus Rectangle Square 135. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel . A rhomboid is a parallelogram whose angles are oblique . A rhombus is an equilateral rhomboid . A rectangle is a ...
... Rhombus Rectangle Square 135. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel . A rhomboid is a parallelogram whose angles are oblique . A rhombus is an equilateral rhomboid . A rectangle is a ...
Página 58
... rhombus are perpendicular to each other . 5. Does the same proof apply to Exs . 3 and 4 ? 6. Are the diagonals of a square equal ? Is this true of a rhom- bus ? Prove each answer correct . 7. Do the diagonals of a square bisect each ...
... rhombus are perpendicular to each other . 5. Does the same proof apply to Exs . 3 and 4 ? 6. Are the diagonals of a square equal ? Is this true of a rhom- bus ? Prove each answer correct . 7. Do the diagonals of a square bisect each ...
Página 68
... of symmetry has a square ? A rectangle ? A rhombus ? An isosceles trapezoid ? 2. If a diagonal of a rectangle is an axis of symmetry , what kind of a rectangle is it ? 3. If a triangle has an axis of symmetry , 68 PLANE GEOMETRY . Symmetry.
... of symmetry has a square ? A rectangle ? A rhombus ? An isosceles trapezoid ? 2. If a diagonal of a rectangle is an axis of symmetry , what kind of a rectangle is it ? 3. If a triangle has an axis of symmetry , 68 PLANE GEOMETRY . Symmetry.
Página 78
... rhombus whose acute angles are 60 ° . Show how to cut off two triangles so the resulting figure shall be a regular hexagon . What fraction of the whole rhombus is thus cut off ? What fraction of the pattern is black ? 8. In a ...
... rhombus whose acute angles are 60 ° . Show how to cut off two triangles so the resulting figure shall be a regular hexagon . What fraction of the whole rhombus is thus cut off ? What fraction of the pattern is black ? 8. In a ...
Página 124
... rhombus . Hence any proof that two polygons are similar must show that both ( 1 ) and ( 2 ) hold concerning them . In the case of triangles it will be proved that either property speci- fied in the definition of similar polygons is ...
... rhombus . Hence any proof that two polygons are similar must show that both ( 1 ) and ( 2 ) hold concerning them . In the case of triangles it will be proved that either property speci- fied in the definition of similar polygons is ...
Otras ediciones - Ver todas
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,