Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 Seiten |
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Seite 65
... feet above the first . What is the length of the carpet required to cover it if each step is 10 inches high ? If each is 12 inches ? If each is 9 inches ? 2 feet Can this problem be solved without know- ing the height of the steps ? Is ...
... feet above the first . What is the length of the carpet required to cover it if each step is 10 inches high ? If each is 12 inches ? If each is 9 inches ? 2 feet Can this problem be solved without know- ing the height of the steps ? Is ...
Seite 94
... feet , what is the radius of each circle ? ( b ) Prove that O O is tangent to ○ O ' and also to OO " . D B SUGGESTION . Show that 00 ' is the sum of the radii of the two circles . ( c ) Is O ' tangent to the arc ACB and also to the ...
... feet , what is the radius of each circle ? ( b ) Prove that O O is tangent to ○ O ' and also to OO " . D B SUGGESTION . Show that 00 ' is the sum of the radii of the two circles . ( c ) Is O ' tangent to the arc ACB and also to the ...
Seite 129
... feet , find BO ' , and hence , O'M , and finally CD . That is , if the sewer is 8 feet wide , what is its depth ? a ( d ) If the width of the sewer is a feet , show that its depth is ( 4 − √2 ) . ( e ) If the depth of the sewer is d feet ...
... feet , find BO ' , and hence , O'M , and finally CD . That is , if the sewer is 8 feet wide , what is its depth ? a ( d ) If the width of the sewer is a feet , show that its depth is ( 4 − √2 ) . ( e ) If the depth of the sewer is d feet ...
Seite 137
... feet long rests with one end on the ground at a point 12 feet from a wall . At what angle does the ladder meet the ground . 6. If two sides and the included angle of a triangle are known , can the remaining parts be found by means of ...
... feet long rests with one end on the ground at a point 12 feet from a wall . At what angle does the ladder meet the ground . 6. If two sides and the included angle of a triangle are known , can the remaining parts be found by means of ...
Seite 139
... feet high is seen to subtend an angle of 20 ° . How far is the observer from the building if he is standing on a level with its base ? 2. Show how to find the distance from an accessible to an inacces- ible point by means of § 280 and ...
... feet high is seen to subtend an angle of 20 ° . How far is the observer from the building if he is standing on a level with its base ? 2. Show how to find the distance from an accessible to an inacces- ible point by means of § 280 and ...
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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.