The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 sider |
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Resultat 1-5 av 14
Side 303
... height of the frustum of a regular pyramid is the perpendicular distance between the parallel sides of one of these trapezoids . EXERCISES . 1. Show that the slant height of a regular pyramid is the straight line drawn from the vertex ...
... height of the frustum of a regular pyramid is the perpendicular distance between the parallel sides of one of these trapezoids . EXERCISES . 1. Show that the slant height of a regular pyramid is the straight line drawn from the vertex ...
Side 307
... height . Hyp . Let SH be the slant height of the regular pyramid S - ABCDE . To prove area S - ABCDE = 1 ( AB + BC + etc. ) SH . Proof . Since the lateral area = the sum of the equal isosceles As SAB , SBC , etc. , A H ( 619 ) B S ...
... height . Hyp . Let SH be the slant height of the regular pyramid S - ABCDE . To prove area S - ABCDE = 1 ( AB + BC + etc. ) SH . Proof . Since the lateral area = the sum of the equal isosceles As SAB , SBC , etc. , A H ( 619 ) B S ...
Side 315
... ... their sum is GHK × ( AD + BE + CF ) . E K H * Called the arithmetic mean of its lateral edges , also its mean height . SIMILAR POLYEDRONS . 641. Similar polyedrons are those whose corresponding BOOK VII . - POLYEDRONS . 315.
... ... their sum is GHK × ( AD + BE + CF ) . E K H * Called the arithmetic mean of its lateral edges , also its mean height . SIMILAR POLYEDRONS . 641. Similar polyedrons are those whose corresponding BOOK VII . - POLYEDRONS . 315.
Side 326
... height of an equivalent regular pyramid whose base is 10 feet square . Proposition 28. Theorem . * 656. The sum of the face - angles of any polyedron is equal to four right angles taken as many times as the poly- edral has vertices less ...
... height of an equivalent regular pyramid whose base is 10 feet square . Proposition 28. Theorem . * 656. The sum of the face - angles of any polyedron is equal to four right angles taken as many times as the poly- edral has vertices less ...
Side 330
... height is 8 inches , and the sides of the base are 6 , 5 , and 5 inches . 40. Find the lateral area of a right pyramid whose slant height is 4 feet , and whose base is a regular octagon of which each side is 3 feet long . 41. Find the ...
... height is 8 inches , and the sides of the base are 6 , 5 , and 5 inches . 40. Find the lateral area of a right pyramid whose slant height is 4 feet , and whose base is a regular octagon of which each side is 3 feet long . 41. Find the ...
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The Elements of Plane and Solid Geometry: With Numerous Exercises Edward Albert Bowser Uten tilgangsbegrensning - 1891 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector called centre chord circumference circumscribed coincide common cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Populære avsnitt
Side 74 - 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.
Side 188 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Side 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Side 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Side 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Side 206 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Side 97 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.
Side 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.