Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
Dentro del libro
Resultados 1-5 de 52
Página 7
... Vertex Side vertex of the angle and the rays are its sides . The angle formed by two rays is said to be the angle between them or simply their angle . Side Two line - segments having a common end - point also form an angle , namely ...
... Vertex Side vertex of the angle and the rays are its sides . The angle formed by two rays is said to be the angle between them or simply their angle . Side Two line - segments having a common end - point also form an angle , namely ...
Página 11
... Vertex called the vertex angle , and its vertex is the Vertex vertex of the triangle . The altitude of a tri- Altitude angle is the perpendic- ular from the vertex to Base Altitude Base the base or the base produced . Evidently any side ...
... Vertex called the vertex angle , and its vertex is the Vertex vertex of the triangle . The altitude of a tri- Altitude angle is the perpendic- ular from the vertex to Base Altitude Base the base or the base produced . Evidently any side ...
Página 17
... EXERCISE . 38 . On page 4 pick out as many pairs of angles as possible which may be shown to be equal by § 37. Test these by using the protractor . 39. Definitions . Two angles which have a common vertex RECTILINEAR FIGURES . 17.
... EXERCISE . 38 . On page 4 pick out as many pairs of angles as possible which may be shown to be equal by § 37. Test these by using the protractor . 39. Definitions . Two angles which have a common vertex RECTILINEAR FIGURES . 17.
Página 18
... vertex and a common side are said to be adjacent if neither angle lies within the other . 1 3 Thus , 21 and 2 are adjacent , while 21 and 23 are not adjacent . The sum of two angles is the angle formed by the sides not common when the ...
... vertex and a common side are said to be adjacent if neither angle lies within the other . 1 3 Thus , 21 and 2 are adjacent , while 21 and 23 are not adjacent . The sum of two angles is the angle formed by the sides not common when the ...
Página 19
... vertex of an isosceles triangle to the middle point of the base bisects the vertex angle and is perpendicular to the base . 5. What parts of a triangle have been found sufficient to determine it ? In each case how many parts are needed ...
... vertex of an isosceles triangle to the middle point of the base bisects the vertex angle and is perpendicular to the base . 5. What parts of a triangle have been found sufficient to determine it ? In each case how many parts are needed ...
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,