Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 Seiten |
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Seite ix
... meet in an edge . Three edges meet in a corner . The brick is bounded by its six faces . Each face is bounded by four edges , and each edge is bounded by two corners . 1 3. If instead of the brick we think merely of Rectilinear Figures.
... meet in an edge . Three edges meet in a corner . The brick is bounded by its six faces . Each face is bounded by four edges , and each edge is bounded by two corners . 1 3. If instead of the brick we think merely of Rectilinear Figures.
Seite 25
... meet the other side of ZA ' at C. Then A'B'C is the required triangle . ( Why ? ) 57 . EXERCISES . K 1. If in the preceding problem two different triangles are con- structed , each having the required properties , how will these ...
... meet the other side of ZA ' at C. Then A'B'C is the required triangle . ( Why ? ) 57 . EXERCISES . K 1. If in the preceding problem two different triangles are con- structed , each having the required properties , how will these ...
Seite 27
... meet in only one point . For if they have two points in common , then by Ax . II they are the same line . 63. All straight angles are equal . § 20 , Ex . 1 . 64. All right angles are equal . See Ax . VI . 65. Every line - segment has ...
... meet in only one point . For if they have two points in common , then by Ax . II they are the same line . 63. All straight angles are equal . § 20 , Ex . 1 . 64. All right angles are equal . See Ax . VI . 65. Every line - segment has ...
Seite 35
... plane and which do not meet are said to be parallel . Two line - segments are parallel if they lie on parallel lines . 86. The above argument is called proof by exclusion . RECTILINEAR FIGURES . 35 Theorems on Parallel Lines.
... plane and which do not meet are said to be parallel . Two line - segments are parallel if they lie on parallel lines . 86. The above argument is called proof by exclusion . RECTILINEAR FIGURES . 35 Theorems on Parallel Lines.
Seite 35
... . Definition . Two complete lines which lie in the plane and which do not meet are said to be parallel . vo line - segments are parallel if they lie on parallel 90. THEOREM . If two lines cut by a transversal RECTILINEAR FIGURES .ふう.
... . Definition . Two complete lines which lie in the plane and which do not meet are said to be parallel . vo line - segments are parallel if they lie on parallel 90. THEOREM . If two lines cut by a transversal RECTILINEAR FIGURES .ふう.
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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.