The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 sider |
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Side vii
... THREE ROUND BODIES . The Cylinder .. 366 The Cone .... 371 The Sphere ... . 378 Exercises . Theorems .... 386 Numerical Exercises 388 ELEMENTARY GEOMETRY . INTRODUCTION . DEFINITIONS . 1. SPACE is TABLE OF CONTENTS . vii.
... THREE ROUND BODIES . The Cylinder .. 366 The Cone .... 371 The Sphere ... . 378 Exercises . Theorems .... 386 Numerical Exercises 388 ELEMENTARY GEOMETRY . INTRODUCTION . DEFINITIONS . 1. SPACE is TABLE OF CONTENTS . vii.
Side 372
... cone . 765. Similar cones of revolution are those generated by similar right triangles revolving round homologous per- pendicular sides . 766. A tangent plane to a cone is a plane which contains The an element of the cone without ...
... cone . 765. Similar cones of revolution are those generated by similar right triangles revolving round homologous per- pendicular sides . 766. A tangent plane to a cone is a plane which contains The an element of the cone without ...
Side 374
... cone of revolution is equal to the product of the circumference of its base by half its slant height . Hyp . Let S , C , L denote the lateral area of the cone , the Oce of its base , and its slant height , respectively . Το prove S ...
... cone of revolution is equal to the product of the circumference of its base by half its slant height . Hyp . Let S , C , L denote the lateral area of the cone , the Oce of its base , and its slant height , respectively . Το prove S ...
Side 377
... cone is equal to the sum of the volumes of three cones , whose common altitude is the altitude of the frustum , and whose bases are the lower base , the upper base , and a mean proportional between the bases of the frustum . Hyp . Let V ...
... cone is equal to the sum of the volumes of three cones , whose common altitude is the altitude of the frustum , and whose bases are the lower base , the upper base , and a mean proportional between the bases of the frustum . Hyp . Let V ...
Side 379
... cone of revolution , whose slant height is AB and axis CD . The ... area AB = AB × 2πEF . AS ABH and EOF are similar . . · . AB × EF = AH × EO = CD × EO . ... area AB = CD × 2πEO . ( 777 ) ( 316 ) If AB meets the axis , or is || to it ...
... cone of revolution , whose slant height is AB and axis CD . The ... area AB = AB × 2πEF . AS ABH and EOF are similar . . · . AB × EF = AH × EO = CD × EO . ... area AB = CD × 2πEO . ( 777 ) ( 316 ) If AB meets the axis , or is || to it ...
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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.