Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Página iii
... magnitudes 2. Proportion of commensurable magnitudes 3. The general theory of proportion 31 37 48 4. Proportion of the sides of triangles 57 5. Proportion of the surfaces of rectilineal figures 62 6. Of lines in harmonical progression ...
... magnitudes 2. Proportion of commensurable magnitudes 3. The general theory of proportion 31 37 48 4. Proportion of the sides of triangles 57 5. Proportion of the surfaces of rectilineal figures 62 6. Of lines in harmonical progression ...
Página 1
... magnitude of an angle does not depend upon the length of its legs , that is , of the straight lines by which it is contained , but upon the opening between them , or the extent to which they are separated the one from the other . Thus ...
... magnitude of an angle does not depend upon the length of its legs , that is , of the straight lines by which it is contained , but upon the opening between them , or the extent to which they are separated the one from the other . Thus ...
Página 4
... magnitudes , increased or diminished by any magni- tude , is greater than the less increased or diminished by the same magnitude . 7. The double of the greater is greater than the double of the less . 8. The half of the greater is ...
... magnitudes , increased or diminished by any magni- tude , is greater than the less increased or diminished by the same magnitude . 7. The double of the greater is greater than the double of the less . 8. The half of the greater is ...
Página 12
... magnitude of its sides , but upon their relative magnitude ; so that a triangle whose sides are 3 , 4 , and 5 times some given line will have the same angles whether the given line be an inch or a mile ; a truth which , indeed , seems ...
... magnitude of its sides , but upon their relative magnitude ; so that a triangle whose sides are 3 , 4 , and 5 times some given line will have the same angles whether the given line be an inch or a mile ; a truth which , indeed , seems ...
Página 31
... Magnitudes — § 3. General Theory of Proportion - § 4. Propor tion of the sides of Triangles- 5 . Proportion of the surfaces of Recti- lineal Figures - § 6. Properties of Lines divided Harmonically - § 7 . Problems . SECTION 1. Ratios of ...
... Magnitudes — § 3. General Theory of Proportion - § 4. Propor tion of the sides of Triangles- 5 . Proportion of the surfaces of Recti- lineal Figures - § 6. Properties of Lines divided Harmonically - § 7 . Problems . SECTION 1. Ratios of ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical