Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 Seiten |
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... passing through two fixed points that one is said to be straight between these points which corresponds most nearly to a stretched string . ох Likewise a plane may be thought of as straight or stretched in every direction , so that a ...
... passing through two fixed points that one is said to be straight between these points which corresponds most nearly to a stretched string . ох Likewise a plane may be thought of as straight or stretched in every direction , so that a ...
Seite 53
... passes through the point o , and thus the three bisectors meet in a common point . 132. THEOREM . The three perpendicular bisectors of · the sides of a triangle meet in a point . Given FH , DG , and EK perpendicular bisectors of the ...
... passes through the point o , and thus the three bisectors meet in a common point . 132. THEOREM . The three perpendicular bisectors of · the sides of a triangle meet in a point . Given FH , DG , and EK perpendicular bisectors of the ...
Seite 58
... passes through the in- tersection of its diagonals . See § 137 . SUGGESTION . Show that it bisects each diagonal . 3. Prove that the diagonals of a square are perpendicular to each other . 4. Prove that the diagonals of a rhombus are ...
... passes through the in- tersection of its diagonals . See § 137 . SUGGESTION . Show that it bisects each diagonal . 3. Prove that the diagonals of a square are perpendicular to each other . 4. Prove that the diagonals of a rhombus are ...
Seite 63
... passes through 0 , and that 40 = AE , BO = BD , and CO = 3 CH . Outline of Proof : Taking F and G , the middle points of OB and OA respectively , use §§ 151 and 144 to show that the figure GFED is a parallelogram , and hence that DO ...
... passes through 0 , and that 40 = AE , BO = BD , and CO = 3 CH . Outline of Proof : Taking F and G , the middle points of OB and OA respectively , use §§ 151 and 144 to show that the figure GFED is a parallelogram , and hence that DO ...
Seite 64
... passes through the opposite vertex , what kind of a triangle is it ? If it is given that two of the perpendicular bisectors of sides pass through the opposite vertices , what kind of a triangle is it ? If only one ? 8. Find the locus of ...
... passes through the opposite vertex , what kind of a triangle is it ? If it is given that two of the perpendicular bisectors of sides pass through the opposite vertices , what kind of a triangle is it ? If only one ? 8. Find the locus of ...
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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.