Drill Book in Plane GeometryPalmer Company, 1922 |
From inside the book
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Page v
... proof but how to find the proof . What is to be done ? Then , what are the common methods of doing it ? For this purpose the propositions are arranged not , as usual , according to their conditions , but by their conclu- sions . The ...
... proof but how to find the proof . What is to be done ? Then , what are the common methods of doing it ? For this purpose the propositions are arranged not , as usual , according to their conditions , but by their conclu- sions . The ...
Page vi
... proof for each theorem . In some cases special proofs are given . 9. Dictionary of geometrical terms , answering all ques- tions on definitions . 10. It follows closely the recommendations of the National Committee , and is suitable for ...
... proof for each theorem . In some cases special proofs are given . 9. Dictionary of geometrical terms , answering all ques- tions on definitions . 10. It follows closely the recommendations of the National Committee , and is suitable for ...
Page vii
... proof of each theorem marked with an asterisk should be written in a notebook . This work is not harder for the ... proof for each theorem . 3. Stating a method and outline of proof for each theorem . 4. Stating a method and complete ...
... proof of each theorem marked with an asterisk should be written in a notebook . This work is not harder for the ... proof for each theorem . 3. Stating a method and outline of proof for each theorem . 4. Stating a method and complete ...
Page viii
... proof as soon as it is stated orally . This proof should be put in a notebook during a study period . Pre- pared loose leaf geometry sheets are very convenient for this purpose . See the arrangement of Art . 264 , p . 97 . RESULTS ...
... proof as soon as it is stated orally . This proof should be put in a notebook during a study period . Pre- pared loose leaf geometry sheets are very convenient for this purpose . See the arrangement of Art . 264 , p . 97 . RESULTS ...
Page 15
... proof called ? What is the Indirect Method of proof ? State the four steps of the Indirect Method . * 90 . If two straight lines are cut by a transversal making the two interior angles on the same side of the transversal supplementary ...
... proof called ? What is the Indirect Method of proof ? State the four steps of the Indirect Method . * 90 . If two straight lines are cut by a transversal making the two interior angles on the same side of the transversal supplementary ...
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Common terms and phrases
acute angle adjacent angles altitude angle-bisectors angles are equal apothem axiom basic method bisects central angle CHAPTER chord circles are tangent circumference circumscribed circle congruent triangles Construct a square Construct a triangle corresponding sides Define diagonal diameter equal angles equal circles equal respectively equally distant equals one-half equals the product equilateral triangle exterior figure Find a point Find the area Find the locus geometry given line given point given straight line given triangle greater hypotenuse included angle inscribed angle interior angles intersect isosceles triangle line joining lines drawn locus of points median Method is Art methods of proving middle points non-parallel sides number of sides opposite sides parallel lines parallelogram perimeter point of tangency proof proving lines quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angle secant similar polygons similar triangles supplementary angles theorem third side transversal trapezoid triangle ABC triangle are equal unequal vertex angle
Popular passages
Page 24 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Page 77 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Page 8 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.
Page 18 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Page 8 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Page 33 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.
Page 73 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 114 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 21 - Theorem. —A line perpendicular to one of two parallel lines is perpendicular to the other.
Page 59 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.