Wentworth & Hill's Exercise Manuals: Geometry, Τεύχος 3Ginn, Heath,, 1884 |
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Σελίδα iii
... contain exercises designed to stimu- late original thought ; most papers now set in this subject for admis- sion to college require more or less original work ; and intelligent teachers are demanding a collection of suitable geometrical ...
... contain exercises designed to stimu- late original thought ; most papers now set in this subject for admis- sion to college require more or less original work ; and intelligent teachers are demanding a collection of suitable geometrical ...
Σελίδα xix
... containing a given angle . BOOK III . SIMILAR FIGURES . THEORY OF PROPORTIONS . 134. Definitions . Proportion , terms of a proportion , ex- tremes and means , inverse or reciprocal proportion . 135. Theorem . If a : b = = c : d , then ...
... containing a given angle . BOOK III . SIMILAR FIGURES . THEORY OF PROPORTIONS . 134. Definitions . Proportion , terms of a proportion , ex- tremes and means , inverse or reciprocal proportion . 135. Theorem . If a : b = = c : d , then ...
Σελίδα 14
... contain the smaller . $ 4. THEOREMS . 1. The radius which bisects an angle at the centre bisects the corresponding chord , and is perpendicular to it . 2. The radius which bisects a chord bisects also the cor- responding arc , and is ...
... contain the smaller . $ 4. THEOREMS . 1. The radius which bisects an angle at the centre bisects the corresponding chord , and is perpendicular to it . 2. The radius which bisects a chord bisects also the cor- responding arc , and is ...
Σελίδα 23
... containing the given angle . 10. The locus of the centres of the circles inscribed in triangles , having a given base and a given angle at the ver- tex , is the arc which forms with the base a segment capa- ble of containing an angle ...
... containing the given angle . 10. The locus of the centres of the circles inscribed in triangles , having a given base and a given angle at the ver- tex , is the arc which forms with the base a segment capa- ble of containing an angle ...
Σελίδα 40
... BA , then FA ,, etc. 40. To construct upon a given line a segment capable of containing an angle of 30 ° . What relation exists between the length of the line and the radius of the circle ? 41. Given K and L ; to draw a line 40 GEOMETRY .
... BA , then FA ,, etc. 40. To construct upon a given line a segment capable of containing an angle of 30 ° . What relation exists between the length of the line and the radius of the circle ? 41. Given K and L ; to draw a line 40 GEOMETRY .
Άλλες εκδόσεις - Προβολή όλων
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.