Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 sider |
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Side 8
... Pyramids and Cones ......... ...... 86 Sec . XVII . The Sphere .......... 92 SUPPLEMENT . Sec . XVIII . Miscellaneous Examples ......... Sec . XIX . Applications of Algebra ... 97 99 INTRODUCTION . SECTION I. - GENERAL DEFINITIONS . 1 ...
... Pyramids and Cones ......... ...... 86 Sec . XVII . The Sphere .......... 92 SUPPLEMENT . Sec . XVIII . Miscellaneous Examples ......... Sec . XIX . Applications of Algebra ... 97 99 INTRODUCTION . SECTION I. - GENERAL DEFINITIONS . 1 ...
Side 86
... PYRAMIDS AND CONES . DEFINITIONS . 1. A PYRAMID is a solid bounded by plane faces , of which one is any polygon , and the others triangles having a common vertex . The poly- gon is called the base . The triangles together form the ...
... PYRAMIDS AND CONES . DEFINITIONS . 1. A PYRAMID is a solid bounded by plane faces , of which one is any polygon , and the others triangles having a common vertex . The poly- gon is called the base . The triangles together form the ...
Side 87
... PYRAMID is one whose base is a reg- ular polygon , and the triangular faces are equal and isosceles . 3. A CONE is a ... pyramid or cone is the per- pendicular distance from the vertex to the plane of the base . 5. The slant hight of a ...
... PYRAMID is one whose base is a reg- ular polygon , and the triangular faces are equal and isosceles . 3. A CONE is a ... pyramid or cone is the per- pendicular distance from the vertex to the plane of the base . 5. The slant hight of a ...
Side 88
... pyramid is equal to half the product of the perimeter of the base by the slant hight . B 1 E Let ABCDE be a regular pyramid , of which AF is the slant hight . The area of the triangle ACD is equal to half the product of its base CD into ...
... pyramid is equal to half the product of the perimeter of the base by the slant hight . B 1 E Let ABCDE be a regular pyramid , of which AF is the slant hight . The area of the triangle ACD is equal to half the product of its base CD into ...
Side 89
... pyramids of equal bases and alti- tudes are equivalent . Let the two pyramids have their bases in the same plane , and DC equal to BC . Conceive a plane to cut the two solids parallel to the plane of A their bases , making the ...
... pyramids of equal bases and alti- tudes are equivalent . Let the two pyramids have their bases in the same plane , and DC equal to BC . Conceive a plane to cut the two solids parallel to the plane of A their bases , making the ...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies Evan Wilhelm Evans Uten tilgangsbegrensning - 1862 |
Primary Elements of Plane and Solid Geometry: For Schools and Academies E W (Evan Wilhelm) 1827-1874 Evans Ingen forhåndsvisning tilgjengelig - 2021 |
Primary Elements of Plane and Solid Geometry: For Schools and Academies E. W. 1827-1874 Evans Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
AB² ABCDEF allel alternate angles altitude angle BAC angles ABC apothegm base multiplied bisect called chord circle circumference cone consequently convex surface diagonals diameter divided draw Eclectic Reader equal Theo equal to half equivalent frustum Geometry given point half the arc half the product Hence hypotenuse included angle inscribed angle intersect isosceles triangle Let ABCD let fall McGuffey's measured by half mutually equiangular mutually equilateral number of equal number of sides opposite parallelogram perimeter perpendicular perpendicular distance prism proportion proved Published by W. B. quadrilateral radii radius Ray's rectangle regular inscribed regular polygon regular pyramid right angles right parallelopiped right-angled triangle Schol semicircle side BC slant hight solidity square straight line SUPT tangent THEOREM trapezoid triangles ABC triangles are equal triangular vertex W. B. SMITH
Populære avsnitt
Side 69 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Side 42 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Side 21 - 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.
Side 47 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Side 72 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Side 33 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 38 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Side 52 - PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop.
Side 30 - The area of a rectangle is equal to the product of its base and altitude.
Side 69 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...