Wentworth & Hill's Exercise Manuals: Geometry, Τεύχος 3Ginn, Heath,, 1884 |
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Σελίδα v
... of Similar Figures 86 The Problem of Apollonius LEKINE 60 70 79 92 97 CHAPTER IV . EQUIVALENT FIGURES . Theorems 102 Numerical Exercises 105 Problems 119 CHAPTER V. REGULAR FIGURES . Theorems Numerical Exercises Problems PAGE.
... of Similar Figures 86 The Problem of Apollonius LEKINE 60 70 79 92 97 CHAPTER IV . EQUIVALENT FIGURES . Theorems 102 Numerical Exercises 105 Problems 119 CHAPTER V. REGULAR FIGURES . Theorems Numerical Exercises Problems PAGE.
Σελίδα vi
... The Sphere Equivalent Solids Similar Solids Solids of Revolution Inscribed and Circumscribed Solids Useful Formulæ . 1 . 4 7 10 13 16 19 · 27 29 32 36 38 SYLLABUS OF PLANE GEOMETRY . AXIOMS . 1. Magnitudes which vi CONTENTS .
... The Sphere Equivalent Solids Similar Solids Solids of Revolution Inscribed and Circumscribed Solids Useful Formulæ . 1 . 4 7 10 13 16 19 · 27 29 32 36 38 SYLLABUS OF PLANE GEOMETRY . AXIOMS . 1. Magnitudes which vi CONTENTS .
Σελίδα viii
... equivalent figures , equal fig- ures , test of the equality of geometrical figures , method of superposition . Object of Geometry , Plane Geometry , Solid Geometry , axiom , theorem , corollary , scholium , problem , postulate ...
... equivalent figures , equal fig- ures , test of the equality of geometrical figures , method of superposition . Object of Geometry , Plane Geometry , Solid Geometry , axiom , theorem , corollary , scholium , problem , postulate ...
Σελίδα xxiii
... EQUIVALENT FIGURES . AREAS . 175. Definitions . Equivalent figures , area of a figure , units of area , transformation of a figure . 176. Theorem . Two rectangles having equal bases are to each other as their altitudes ; and two ...
... EQUIVALENT FIGURES . AREAS . 175. Definitions . Equivalent figures , area of a figure , units of area , transformation of a figure . 176. Theorem . Two rectangles having equal bases are to each other as their altitudes ; and two ...
Σελίδα xxiv
... equivalent to the sum of the squares upon the two legs . 191. Theorem . In a triangle the square upon a side opposite an acute angle is equivalent to the sum of the squares upon the other two sides , diminished by twice the rectangle of ...
... equivalent to the sum of the squares upon the two legs . 191. Theorem . In a triangle the square upon a side opposite an acute angle is equivalent to the sum of the squares upon the other two sides , diminished by twice the rectangle of ...
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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.