Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 σελίδες |
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Σελίδα 11
... altitude of a tri- angle is the perpendic- ular from the vertex to Vertex Altitude Base , Vertex Altitude Base the base or the base produced . Evidently any side may be taken as the base , and hence a triangle has three different altitudes ...
... altitude of a tri- angle is the perpendic- ular from the vertex to Vertex Altitude Base , Vertex Altitude Base the base or the base produced . Evidently any side may be taken as the base , and hence a triangle has three different altitudes ...
Σελίδα 46
... altitude of an equilateral triangle bisects the vertex angle from which it is drawn and also bisects the base . 5. State and prove the converse of the theorem in Ex . 4 . 6. Construct angles of 60 ° , 120 ° , 46 PLANE GEOMETRY .
... altitude of an equilateral triangle bisects the vertex angle from which it is drawn and also bisects the base . 5. State and prove the converse of the theorem in Ex . 4 . 6. Construct angles of 60 ° , 120 ° , 46 PLANE GEOMETRY .
Σελίδα 55
... altitude of a parallelogram or a trapezoid is the perpendicular distance between its bases , and its diameter is the segment joining the middle points of the other sides . 138 . EXERCISES . 1. Name each of the following quadrilaterals ...
... altitude of a parallelogram or a trapezoid is the perpendicular distance between its bases , and its diameter is the segment joining the middle points of the other sides . 138 . EXERCISES . 1. Name each of the following quadrilaterals ...
Σελίδα 62
... altitudes of a triangle meet B Outline of Proof : Through each vertex of the given triangle ABC draw a line parallel to the opposite side , forming a triangle A'B'C ' . Show that ACA'B , and AB'CB are parallelograms , and 62 PLANE ...
... altitudes of a triangle meet B Outline of Proof : Through each vertex of the given triangle ABC draw a line parallel to the opposite side , forming a triangle A'B'C ' . Show that ACA'B , and AB'CB are parallelograms , and 62 PLANE ...
Σελίδα 63
... altitudes of △ ABC are the perpendicular bisectors of the sides of △ A'B'C ' , and therefore meet in a point ( §132 ) . 157. Definition . A segment connecting a vertex of a triangle with the middle point of the opposite side is called ...
... altitudes of △ ABC are the perpendicular bisectors of the sides of △ A'B'C ' , and therefore meet in a point ( §132 ) . 157. Definition . A segment connecting a vertex of a triangle with the middle point of the opposite side is called ...
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry With Problems and Applications H. E. Slaught Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 215 - If two triangles have two sides of the one equal to two sides of the other...
Σελίδα 35 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 22 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 113 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 219 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Σελίδα 202 - The area of a rectangle is equal to the product of its base and altitude.