Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 páginas |
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Página ix
... sphere and cylinder . Upon these discoveries , he wished his fame with pos- terity to rest ; for which reason , he requested that after his death , a sphere and cylinder might be inscribed on his tomb . But he made a great many other ...
... sphere and cylinder . Upon these discoveries , he wished his fame with pos- terity to rest ; for which reason , he requested that after his death , a sphere and cylinder might be inscribed on his tomb . But he made a great many other ...
Página 16
... Sphere 79 Surface of the three round bodies 92 79 Solidity of the three round bodies 97 - 80 Comparison of solids 99 Surface of polyedrons 81 Similar solids 100 103 PAGE . tances Mensuration of heights and Mensuration of surfaces dis ...
... Sphere 79 Surface of the three round bodies 92 79 Solidity of the three round bodies 97 - 80 Comparison of solids 99 Surface of polyedrons 81 Similar solids 100 103 PAGE . tances Mensuration of heights and Mensuration of surfaces dis ...
Página 79
... sphere , which are usually denominated the three round bodies , or the three solids of revolution . — If a right parallelogram be supposed to revolve about one of its sides as a fixed axis , the solid thus generated will be a cylinder ...
... sphere , which are usually denominated the three round bodies , or the three solids of revolution . — If a right parallelogram be supposed to revolve about one of its sides as a fixed axis , the solid thus generated will be a cylinder ...
Página 80
... sphere is generated , it follows that every point in the surface of a sphere is equally distant from the centre . Also - If a plane be made to pass through the sphere in any direction , the section will be a circle . If the plane pass ...
... sphere is generated , it follows that every point in the surface of a sphere is equally distant from the centre . Also - If a plane be made to pass through the sphere in any direction , the section will be a circle . If the plane pass ...
Página 81
... sphere cut off by a single plane , or comprehended between two parallel planes , is called a spherical seg- ment . Thus the solids A - E H GI and EHGI- MDPF are spherical segments , and the circular planes are their bases . The altitude ...
... sphere cut off by a single plane , or comprehended between two parallel planes , is called a spherical seg- ment . Thus the solids A - E H GI and EHGI- MDPF are spherical segments , and the circular planes are their bases . The altitude ...
Otras ediciones - Ver todas
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Sin vista previa disponible - 2023 |
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Sin vista previa disponible - 2019 |
Términos y frases comunes
A B C D A B fig adjacent angles angles are equal axis B A C base and altitude base multiplied bisect called centre chord circ circumference coincide contain convex surface cube cylinder definition demonstrated diameter divided draw equally distant equivalent found by multiplying frustum geometry given line given square greater half the arc Hence homologous sides hypothenuse inches infinite number infinitely small inscribed angles inscribed circle line A B line drawn linear unit mean proportional number of sides parallel sides parallelopiped perim perpendicular polyedrons preceding proposition proved pyramid radii radius regular polygon right angles right parallelogram right triangle semicircumference similar triangles solid angles sphere square feet straight line suppose tangent THEOREM.-The solidity tion trapezoid triangle A B C triangles are equal triangular prism vertex vertices
Pasajes populares
Página ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Página 48 - The areas of two triangles which have 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Página 63 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Página ii - ... and also to an Act, entitled, " An Act- supplementary to an Act, entitled, ' An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the limes therein mentioned ;' and extending the benefits thereof to the arts of designing, engraving, and etching historical, and other prints.
Página xiv - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Página xv - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 41 - In any proportion, the product of the means is equal to the product of the extremes.
Página xiv - Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another.
Página 42 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Página xiv - Things which are halves of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another.