An Elementary Geometry and TrigonometryThompson, Bigelow, and Brown, 1872 - 238 σελίδες |
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Σελίδα
... sphere . Thus the whole constitutes a single Theorem , without an unnecessary link in the chain of reasoning . These five Books , including Ratio and Proportion , are pre- sented in eighty - one Propositions , covering only seventy ...
... sphere . Thus the whole constitutes a single Theorem , without an unnecessary link in the chain of reasoning . These five Books , including Ratio and Proportion , are pre- sented in eighty - one Propositions , covering only seventy ...
Σελίδα
... 68 689 64 BOOK V. POLYEDRONS . Prisms , Cylinders Pyramids , Cones The Sphere Exercises 8828 69 75 82 86 BOOK VI . PROBLEMS OF CONSTRUCTION Exercises 89 106 LOGARITHMS . PLANE TRIGONOMETRY . CHAPTER I. Nature of Logarithms.
... 68 689 64 BOOK V. POLYEDRONS . Prisms , Cylinders Pyramids , Cones The Sphere Exercises 8828 69 75 82 86 BOOK VI . PROBLEMS OF CONSTRUCTION Exercises 89 106 LOGARITHMS . PLANE TRIGONOMETRY . CHAPTER I. Nature of Logarithms.
Σελίδα 81
... V the volume of a cone , V = } } π R2 A. 53. Cor . 2. The ratio of similar pyramids to one another is the same as that of similar prisms ; that is , as the cubes of homologous lines . THE SPHERE . DEFINITIONS . 54. A Sphere is a BOOK V. 81.
... V the volume of a cone , V = } } π R2 A. 53. Cor . 2. The ratio of similar pyramids to one another is the same as that of similar prisms ; that is , as the cubes of homologous lines . THE SPHERE . DEFINITIONS . 54. A Sphere is a BOOK V. 81.
Σελίδα 82
William Frothingham Bradbury. THE SPHERE . DEFINITIONS . 54. A Sphere is a solid bounded by a curved surface , of which every point is equally distant from a point within called the centre . A sphere can be described by the revolution of ...
William Frothingham Bradbury. THE SPHERE . DEFINITIONS . 54. A Sphere is a solid bounded by a curved surface , of which every point is equally distant from a point within called the centre . A sphere can be described by the revolution of ...
Σελίδα 83
... sphere K may be described ; then the surface of the sphere is equal to the diameter A F multi- plied by the circumference of the circle whose radius is GA , or = A FX circ . G A. L G M Let ABCDEF be a regular semi - decagon inscribed in ...
... sphere K may be described ; then the surface of the sphere is equal to the diameter A F multi- plied by the circumference of the circle whose radius is GA , or = A FX circ . G A. L G M Let ABCDEF be a regular semi - decagon inscribed in ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C ABCDEF acute angle adjacent altitude angle BCD apothem arc or angle bisect centre chord circumference comp cone construct the triangle convex surface Corollary cosec decr diagonals diameter distance divided draw equiangular equilateral equivalent feet Find the Log frustum Geom given angle given line given point given side hypothenuse included angle incr inscribed internal angles isosceles triangle lines A B Logarithm M.
M. Sine multiplied number of sides opposite side parallelogram parallelopiped perimeter perpendicular PLANE GEOMETRY plane triangle PLANE TRIGONOMETRY prism PROBLEM quadrilateral radii radius ratio rectangle regular polygon right angle right pyramid right triangle right-angled triangle Scholium secant segment side opposite similar triangles slant height sphere square straight line Tang tangent THEOREM THEOREM VII trapezoid triangle ABC TRIGONOMETRY vertex
Δημοφιλή αποσπάσματα
Σελίδα 30 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Σελίδα 49 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Σελίδα 96 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 12 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 11 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 23 - If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area.
Σελίδα 20 - ... polygon, is equal to twice as many right angles as the polygon has sides minus two.
Σελίδα 71 - The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude.
Σελίδα 40 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° : what is the height of the tower?
Σελίδα 23 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.