Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página 54
... . The side on which a parallelogram is supposed to stand is called its lower base , and the side opposite is its upper base . 136. A trapezoid is a quadrilateral having only one pair 54 PLANE GEOMETRY . Theorems on Quadrilaterals.
... . The side on which a parallelogram is supposed to stand is called its lower base , and the side opposite is its upper base . 136. A trapezoid is a quadrilateral having only one pair 54 PLANE GEOMETRY . Theorems on Quadrilaterals.
Página 55
... trapezoid is one in which the two non - parallel sides are equal . In a trapezoid the two parallel sides are the upper and lower bases . 137. The altitude of a parallelogram or a trapezoid is the perpendicular distance between its bases ...
... trapezoid is one in which the two non - parallel sides are equal . In a trapezoid the two parallel sides are the upper and lower bases . 137. The altitude of a parallelogram or a trapezoid is the perpendicular distance between its bases ...
Página 58
... ? Is this true of a rhombus ? Of a trapezoid ? 8. Show that if two adjacent angles of a parallelogram are equal , the figure is a rectangle . 148. THEOREM . Two parallelograms having an angle and the 58 PLANE GEOMETRY .
... ? Is this true of a rhombus ? Of a trapezoid ? 8. Show that if two adjacent angles of a parallelogram are equal , the figure is a rectangle . 148. THEOREM . Two parallelograms having an angle and the 58 PLANE GEOMETRY .
Página 61
... trapezoid and bisects one of the non - parallel sides , then it bisects the other also and is equal to one half the sum of the bases . C E F A B Given the trapezoid ABCD in which AE = ED and EF || AB . To prove that BF = FC and EF ...
... trapezoid and bisects one of the non - parallel sides , then it bisects the other also and is equal to one half the sum of the bases . C E F A B Given the trapezoid ABCD in which AE = ED and EF || AB . To prove that BF = FC and EF ...
Página 62
... trapezoid according as t1ll t2 or not . In either case BF , which bisects AC , also bisects EG ( § 152 ) . ... EF = FG . Similarly , in the figure DHFB , FG = GH . ... EF FG = GH . 156. THEOREM . The three altitudes of a triangle meet ...
... trapezoid according as t1ll t2 or not . In either case BF , which bisects AC , also bisects EG ( § 152 ) . ... EF = FG . Similarly , in the figure DHFB , FG = GH . ... EF FG = GH . 156. THEOREM . The three altitudes of a triangle meet ...
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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,