Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 sider |
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Side 54
... diagonal of a quadrilateral is a segment joining two opposite vertices , as AC and BD . Quadrilaterals which have a reentrant angle , such as ZBCD , and those in which D A B X two sides intersect , such as AB and CD , are not considered ...
... diagonal of a quadrilateral is a segment joining two opposite vertices , as AC and BD . Quadrilaterals which have a reentrant angle , such as ZBCD , and those in which D A B X two sides intersect , such as AB and CD , are not considered ...
Side 55
... diagonal Ac . Prove △ ABC ≈ △ ACD and compare corresponding sides . What determines which are corresponding sides ? 140 . EXERCISES . 1. Show that a diagonal of a parallelogram divides it into two congruent triangles . 2. Give the ...
... diagonal Ac . Prove △ ABC ≈ △ ACD and compare corresponding sides . What determines which are corresponding sides ? 140 . EXERCISES . 1. Show that a diagonal of a parallelogram divides it into two congruent triangles . 2. Give the ...
Side 56
... diagonal AC . In the ABC and ADC determine whether any test for congruence applies , and if so compare corresponding angles . 143 . EXERCISES . 1. By use of the last theorem the question of Ex . 1 , § 138 , can be answered by measuring ...
... diagonal AC . In the ABC and ADC determine whether any test for congruence applies , and if so compare corresponding angles . 143 . EXERCISES . 1. By use of the last theorem the question of Ex . 1 , § 138 , can be answered by measuring ...
Side 57
... diagonal ? If so , draw it and give the proof . 145 . EXERCISES . 1. Prove that if the diagonals of a quadrilateral bisect each other it is a parallelogram . What is the converse of this proposition ? 2. Show that if two intersecting ...
... diagonal ? If so , draw it and give the proof . 145 . EXERCISES . 1. Prove that if the diagonals of a quadrilateral bisect each other it is a parallelogram . What is the converse of this proposition ? 2. Show that if two intersecting ...
Side 58
... diagonal . 3. Prove that the diagonals of a square are perpendicular to each other . 4. Prove that the diagonals of a rhombus are perpendicular to each other . 5. Does the same proof apply to Exs . 3 and 4 ? 6. Are the diagonals of a ...
... diagonal . 3. Prove that the diagonals of a square are perpendicular to each other . 4. Prove that the diagonals of a rhombus are perpendicular to each other . 5. Does the same proof apply to Exs . 3 and 4 ? 6. Are the diagonals of a ...
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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,