Elements of Geometry and Conic SectionsHarper, 1849 - 226 páginas |
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Página 1
... AND AUTHOR OF A " TREATISE ON ALGEBRA " AND " ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY . " NEW YORK : HARPER & BROTHERS , PUBLISHERS , 82 CLIFF STREET . 1849 . Educ T 148.49.530 ARD COLLEGE jau 18 , 1920 LIBRARY ELEMENTS.
... AND AUTHOR OF A " TREATISE ON ALGEBRA " AND " ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY . " NEW YORK : HARPER & BROTHERS , PUBLISHERS , 82 CLIFF STREET . 1849 . Educ T 148.49.530 ARD COLLEGE jau 18 , 1920 LIBRARY ELEMENTS.
Página 5
... Spherical Geometry . Moreover , the additions are often incongruous with the original text ; so that most of those who adhere to the use of Playfair's Euclid , will admit that something is still wanting to a perfect treatise . At most ...
... Spherical Geometry . Moreover , the additions are often incongruous with the original text ; so that most of those who adhere to the use of Playfair's Euclid , will admit that something is still wanting to a perfect treatise . At most ...
Página 7
... Spherical Geometry BOOK X. The Three round Bodies . CONIC SECTIONS . Parabola . Ellipse Hyperbola 44 · 57 83 98 . 112 • 127 148 • € 166 177 188 205 N.B. When reference is made to a Proposition in the same Book , only the number of the ...
... Spherical Geometry BOOK X. The Three round Bodies . CONIC SECTIONS . Parabola . Ellipse Hyperbola 44 · 57 83 98 . 112 • 127 148 • € 166 177 188 205 N.B. When reference is made to a Proposition in the same Book , only the number of the ...
Página 147
... having a greater number of sides . Hence there can be but five regular polyedrons ; three formed with equilateral triangles , one with squares , and one with pentagons . BOOK IX . SPHERICAL GEOMETRY . Definitions . 1. A. BOOK VIII . 147.
... having a greater number of sides . Hence there can be but five regular polyedrons ; three formed with equilateral triangles , one with squares , and one with pentagons . BOOK IX . SPHERICAL GEOMETRY . Definitions . 1. A. BOOK VIII . 147.
Página 148
Elias Loomis. BOOK IX . SPHERICAL GEOMETRY . Definitions . 1. A sphere is a solid bounded by a curved surface , all the points of which are equally distant from a point within , call- ed the center . The sphere may be conceived to be de ...
Elias Loomis. BOOK IX . SPHERICAL GEOMETRY . Definitions . 1. A sphere is a solid bounded by a curved surface , all the points of which are equally distant from a point within , call- ed the center . The sphere may be conceived to be de ...
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ELEMENTS OF GEOMETRY & CONIC S Elias 1811-1889 Loomis,Making of America Project Sin vista previa disponible - 2016 |
Términos y frases comunes
75 cents ABCD AC is equal allel altitude angle ABC angle ACB angle BAC Anthon's base BCDEF bisected chord circle circumference cone contained convex surface curve described diameter dicular draw drawn ellipse equal angles equal to AC equally distant equiangular equivalent exterior angle foci four right angles frustum greater Hence Prop hyperbola inscribed intersection join latus rectum Let ABC lines AC major axis mean proportional measured by half meet Muslin number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid radii radius ratio rectangle regular polygon right angles Prop Scholium segment Sheep extra side AC similar slant height solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Pasajes populares
Página 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Página 27 - VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the...
Página 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Página 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Página 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Página 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Página 17 - 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 will be equal.
Página 148 - I.), that every section of a sphere made by a plane is a circle.