Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 Seiten |
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Ergebnisse 1-5 von 47
Seite 67
... Find each angle of a regular polygon of 3 sides , 4 sides , 5 sides , 6 sides , 8 sides , 14 sides , n sides . 3 ... radius describe arcs meeting the circle in B and in F. With B as center and the same radius describe an arc meeting the ...
... Find each angle of a regular polygon of 3 sides , 4 sides , 5 sides , 6 sides , 8 sides , 14 sides , n sides . 3 ... radius describe arcs meeting the circle in B and in F. With B as center and the same radius describe an arc meeting the ...
Seite 95
... radius CA. Show that 2 = 1 ≤ 1 . But 1 is measured by AD ( § 202 ) . Hence 2 is measured by AD . ( 2 ) If the ... find the sum of the two angles . 2. In Ex . 1 if the points B and D remain fixed while the vertex A of the angle is made ...
... radius CA. Show that 2 = 1 ≤ 1 . But 1 is measured by AD ( § 202 ) . Hence 2 is measured by AD . ( 2 ) If the ... find the sum of the two angles . 2. In Ex . 1 if the points B and D remain fixed while the vertex A of the angle is made ...
Seite 96
... Find the following loci : 1. The centers of all circles of fixed radius tangent to a fixed line . 2. The centers of all circles tangent to two parallel lines . 3. The centers of all circles tangent to both sides of an angle . 4. The ...
... Find the following loci : 1. The centers of all circles of fixed radius tangent to a fixed line . 2. The centers of all circles tangent to two parallel lines . 3. The centers of all circles tangent to both sides of an angle . 4. The ...
Seite 98
... radius CR to the point of tangency . Then CRMN and CR LK . ( Why ? ) Prove △ LCS △ KCS , and hence that LR = RK ... find the sum of each pair of opposite arcs into which they divide the circle . 4. If the vertices of a trapezoid lie on ...
... radius CR to the point of tangency . Then CRMN and CR LK . ( Why ? ) Prove △ LCS △ KCS , and hence that LR = RK ... find the sum of each pair of opposite arcs into which they divide the circle . 4. If the vertices of a trapezoid lie on ...
Seite 102
... find DF . 2. If ZA = 37 ° ( in middle figure ) , find the arcs into which the points B and E divide the circle . 3. With a given radius construct a circle passing through a given point . How many such circles can be drawn ? What is the ...
... find DF . 2. If ZA = 37 ° ( in middle figure ) , find the arcs into which the points B and E divide the circle . 3. With a given radius construct a circle passing through a given point . How many such circles can be drawn ? What is the ...
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Häufige Begriffe und Wortgruppen
ABCD accompanying design altitude apothem arcs area bounded axes of symmetry axioms base and altitude bisectors bisects central angle chord circumference congruent corresponding sides definite diagonal diameter divided Draw drawn equal angles equal circles equilateral triangle EXERCISES exterior angle feet Find the area Find the locus Find the radius fixed point geometric Give the proof given circle given point given triangle greater Hence hypotenuse inscribed intersect isosceles triangle length line-segment measure meet middle points number of sides Outline of Proof parallel lines parallelogram perimeter perpendicular proof in full Prove quadrilateral radii ratio rectangle regular dodecagon regular hexagon regular octagon regular polygon regular triangle respectively rhombus right angle right triangle secant semicircle Show shown straight angle straight line strip subtend SUGGESTION tangent THEOREM tile trapezoid triangle ABC unit vertex vertices width
Beliebte Passagen
Seite 215 - If two triangles have two sides of the one equal to two sides of the other...
Seite 35 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Seite 22 - Any side of a triangle is less than the sum of the other two sides...
Seite 113 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Seite 273 - This textbook may be borrowed for two weeks, with the privilege of renewing it once. A fine of five cents a day is incurred by failure to return a book on the date when it is due. The Education Library is open from 9 to 5 daily except Saturday when it closes at 12.30.
Seite 52 - 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.
Seite 174 - 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.
Seite 153 - 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.
Seite 219 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Seite 202 - The area of a rectangle is equal to the product of its base and altitude.