Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 páginas |
Dentro del libro
Resultados 1-5 de 33
Página iv
... surface . Hence the second section treats of surfaces . Lastly when we consider length , breadth , and thickness to- gether , or length in three ways , their representative is a solid . Hence the third section treats of solids , The ...
... surface . Hence the second section treats of surfaces . Lastly when we consider length , breadth , and thickness to- gether , or length in three ways , their representative is a solid . Hence the third section treats of solids , The ...
Página xi
... surface as made up of an infinite number of lines , and a solid as made up of an infinite number of surfaces . These infinitely small elements of the geometric magnitudes , he denomi- nated indivisibles . The method of summing an ...
... surface as made up of an infinite number of lines , and a solid as made up of an infinite number of surfaces . These infinitely small elements of the geometric magnitudes , he denomi- nated indivisibles . The method of summing an ...
Página xii
... surfaces were considered as made up of an indefinite number of narrow rectangles or oblongs , and solids of an indefinite number of thin prisms , all de- creasing according to a certain law . In the same century Descartes conferred a ...
... surfaces were considered as made up of an indefinite number of narrow rectangles or oblongs , and solids of an indefinite number of thin prisms , all de- creasing according to a certain law . In the same century Descartes conferred a ...
Página 16
... 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- 107 ...
... 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- 107 ...
Página 17
... surface of the paper ; and you would end by ceasing to move it . Here you make one point by placing the pencil ; you make a line by moving it ; and you make another point where you cease to move it . These points are the boundaries of ...
... surface of the paper ; and you would end by ceasing to move it . Here you make one point by placing the pencil ; you make a line by moving it ; and you make another point where you cease to move it . These points are the boundaries of ...
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.