Wentworth & Hill's Exercise Manuals: Geometry, Τεύχος 3Ginn, Heath,, 1884 |
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Σελίδα ix
... bisectors . The three lines drawn from the vertices to the middle points of the opposite sides are called the medi- ans . In the isosceles triangle the two equal sides are called the legs ; the other side is called the base ; and the ...
... bisectors . The three lines drawn from the vertices to the middle points of the opposite sides are called the medi- ans . In the isosceles triangle the two equal sides are called the legs ; the other side is called the base ; and the ...
Σελίδα 2
... bisectors of A and B ; ( ii ) the altitudes upon AC and BC ; ( iii . ) the bisector of A , and the altitude upon BC . 13. If three angles of a quadrilateral are right angles , what is the value of the fourth angle ? 14. What is the sum ...
... bisectors of A and B ; ( ii ) the altitudes upon AC and BC ; ( iii . ) the bisector of A , and the altitude upon BC . 13. If three angles of a quadrilateral are right angles , what is the value of the fourth angle ? 14. What is the sum ...
Σελίδα 3
... bisectors of two an- gles in an equilateral triangle . 27. Find the angles of an isosceles triangle if a base angle is double the vertex angle . 28. The bisector of a base angle in an isosceles triangle makes , with the opposite leg ...
... bisectors of two an- gles in an equilateral triangle . 27. Find the angles of an isosceles triangle if a base angle is double the vertex angle . 28. The bisector of a base angle in an isosceles triangle makes , with the opposite leg ...
Σελίδα 4
... bisectors of the acute angles ? 35. Make a triangle , and then draw the three altitudes . If two of the altitudes lie without the triangle , what must be true of one of the angles ? 36. By drawing an altitude of a triangle ( and , if ...
... bisectors of the acute angles ? 35. Make a triangle , and then draw the three altitudes . If two of the altitudes lie without the triangle , what must be true of one of the angles ? 36. By drawing an altitude of a triangle ( and , if ...
Σελίδα 5
... bisectors of two vertical angles form one straight line . 3. The bisectors of two alternate - interior angles are parallel . 4. The bisectors of the acute angles of a right triangle form an angle of 135 ° . 5. The bisector of the angle ...
... bisectors of two vertical angles form one straight line . 3. The bisectors of two alternate - interior angles are parallel . 4. The bisectors of the acute angles of a right triangle form an angle of 135 ° . 5. The bisector of the angle ...
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WENTWORTH & HILLS EXERCISE MAN G. a. (George Albert) 1835-1 Wentworth,G. a. (George Anthony) 1842-1916 Hill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
"Wentworth & Hill's. Exercise Manuals, No.3 - Geometry G. A. Wentworth,G. A. Hill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Wentworth & Hill's Exercise Manuals.(: Geometry, Τεύχος 3 George Albert Wentworth,George Anthony Hill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude apothem Auxiliary triangles base bisectors bisects centre chord circumference circumscribed construct a circle construct a triangle decagon denote diagonals distance divide a given draw a line equation equidistant equilateral triangle equivalent find a point Find the area Find the length find the locus Find the radius Find the volume frustum given circle given length given line given point given square given triangle hypotenuse inches intersection isosceles trapezoid isosceles triangle join L₁ legs line drawn line parallel middle points P₁ parallelogram perimeter perpendicular plane problem produced pyramid quadrilateral radii radius rectangle regular hexagon regular octagon regular pentagon regular polygon rhombus right cone right cylinder right triangle secant segment similar slant height sphere square feet straight line tangent tangents drawn Theorem touch trapezoid triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 85 - To find the locus of points from which two given circles will be seen under equal angles. Show that the distances from any point in the locus to the centres of the two circles are as the radii of the circles; this reduces the problem to Ex. 12. 17. To find the locus of the points from which a given straight line is seen under a given angle. 18. To find the locus of the vertex of a triangle, having given the. base and the ratio of the other two sides. 19. To find the locus of the points in a plane...
Σελίδα xiv - 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.
Σελίδα 81 - Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points.
Σελίδα 64 - In any triangle, the product of two sides is equal to the square of the bisector of the included angle plus the product of the segments of the third side. Hyp. In A abc, the bisector t divides c into the segments, p and q. To prove ab = t
Σελίδα 81 - Find the locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant k-.
Σελίδα 35 - A cone, whose slant height is equal to the diameter of its base, is inscribed in a given sphere, and a similar cone is circumscribed about the same sphere.
Σελίδα 8 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Σελίδα xiv - An isosceles trapezoid is a trapezoid whose non-parallel sides are equal. A pair of angles including only one of the parallel sides is called a pair of base angles. Pairs of base angles The median of a trapezoid is parallel to the bases and equal to onehalf their sum.
Σελίδα 64 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Σελίδα xv - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.