Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 Seiten |
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Seite 97
... varying circles tangent to each other , and each tangent to a given line at a given point . SUGGESTION . A and B are the fixed points , and P one point of contact of the circles . Draw the common tangent PD . Prove AD = DP and DB = DP ...
... varying circles tangent to each other , and each tangent to a given line at a given point . SUGGESTION . A and B are the fixed points , and P one point of contact of the circles . Draw the common tangent PD . Prove AD = DP and DB = DP ...
Seite 207
... varying in size and shape . • = E.g. if a rectangle has a fixed base , say 10 inches long , but an al- titude which varies continuously from 3 inches to 5 inches , then the area varies continuously from 3 ∙ 10 30 to 5 ∙ 10 = 50 square ...
... varying in size and shape . • = E.g. if a rectangle has a fixed base , say 10 inches long , but an al- titude which varies continuously from 3 inches to 5 inches , then the area varies continuously from 3 ∙ 10 30 to 5 ∙ 10 = 50 square ...
Seite 209
... varies continuously through all values from h2 = 10 to h2 = 20 = 2 × 10 , then it must take among other values the ... varies directly as its altitude . This means that if A and h are the varying area and altitude re- spectively , and if ...
... varies continuously through all values from h2 = 10 to h2 = 20 = 2 × 10 , then it must take among other values the ... varies directly as its altitude . This means that if A and h are the varying area and altitude re- spectively , and if ...
Seite 210
... varies as the altitude . 3. Represent graphically the relation between two line - segments both of which begin at ... varying altitude ? Which applies to a triangle having a fixed base and varying altitude ? 371. THEOREM . The area of a ...
... varies as the altitude . 3. Represent graphically the relation between two line - segments both of which begin at ... varying altitude ? Which applies to a triangle having a fixed base and varying altitude ? 371. THEOREM . The area of a ...
Seite 212
... varies continuously . Axis for Areas 49 36 ន 16 9 3 P 7 P P P P 4 1 P 1 2 3 4 5 6 7 8 P Axis for Sides SOLUTION . On the horizontal axis lay off the segments equal to various values of the side s , and on the vertical axis lay off ...
... varies continuously . Axis for Areas 49 36 ន 16 9 3 P 7 P P P P 4 1 P 1 2 3 4 5 6 7 8 P Axis for Sides SOLUTION . On the horizontal axis lay off the segments equal to various values of the side s , and on the vertical axis lay off ...
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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.