Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes, 1886 - 324 σελίδες |
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Σελίδα 128
... the base of a pyramid is a regular polygon , and the perpendicular SO passes through the middle point of the base , the pyramid is called a right pyramid , and the line SO is called the axis Pyramid and Cylinder . 14. The slant height of a ...
... the base of a pyramid is a regular polygon , and the perpendicular SO passes through the middle point of the base , the pyramid is called a right pyramid , and the line SO is called the axis Pyramid and Cylinder . 14. The slant height of a ...
Σελίδα 129
With Applications in Mensuration Charles Davies. Pyramid and Cylinder . 14. The slant height of a right pyramid , is a line drawn from the ver- tex , perpendicular to one of the sides of the polygon which forms its base . Thus . SF is the ...
With Applications in Mensuration Charles Davies. Pyramid and Cylinder . 14. The slant height of a right pyramid , is a line drawn from the ver- tex , perpendicular to one of the sides of the polygon which forms its base . Thus . SF is the ...
Σελίδα 131
... the revolution of a right angled triangle , ABC , about one of its sides , CB . The circle described by the revolving side , AB , is called the base of the cone . The hypothenuse , AC , is called the slant height of the cone , and the ...
... the revolution of a right angled triangle , ABC , about one of its sides , CB . The circle described by the revolving side , AB , is called the base of the cone . The hypothenuse , AC , is called the slant height of the cone , and the ...
Σελίδα 139
With Applications in Mensuration Charles Davies. Of the Pyramid . THEOREM VI . The convex surface of a right pyramid ... height Let S - ABCDE be a right pyra- mid , SF its slant height : then will its convex surface be equal to half the ...
With Applications in Mensuration Charles Davies. Of the Pyramid . THEOREM VI . The convex surface of a right pyramid ... height Let S - ABCDE be a right pyra- mid , SF its slant height : then will its convex surface be equal to half the ...
Σελίδα 140
... the trapezoids EAae , ABba , & c . , which form the convex surface of the frustum are equal . But the perpen- dicular distance between the parallel sides of these trapezoids is equal to Ef , the slant height of the frustum . Now , the area ...
... the trapezoids EAae , ABba , & c . , which form the convex surface of the frustum are equal . But the perpen- dicular distance between the parallel sides of these trapezoids is equal to Ef , the slant height of the frustum . Now , the area ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angles equal base multiplied bisect called centre chains chord circle whose diameter circular sector circumference column comp cone consequently convex surface Cosine Cosine D Cotang cubic cylinder decimal diagonal dicular distance divided draw drawn equal Bk equal to half equivalent EXAMPLES feet figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE segment side AC similar similar triangles slant height sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards
Δημοφιλή αποσπάσματα
Σελίδα 44 - Let ABC be a triangle, of which the side AC is greater than the side AB; the angle ABC shall be greater than the angle BCA.
Σελίδα 11 - A circle (Fig. 38) is a figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within, called the center.
Σελίδα 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 130 - ... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Σελίδα 209 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower Cway 33° 45' ; required the height of the tower.
Σελίδα 58 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Σελίδα 159 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Σελίδα 70 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Σελίδα 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.