Elements of Geometry: With, Practical ApplicationsD. Appleton and Company, 1850 - 320 sider |
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Resultat 1-5 av 25
Side 10
... coincides in all positions with the surface ; if so , the surface is a plane . ( 12. ) The practical miller , when he wishes to dress his millstones to a plane surface , rubs the straight - edge with paint , and then applies it in ...
... coincides in all positions with the surface ; if so , the surface is a plane . ( 12. ) The practical miller , when he wishes to dress his millstones to a plane surface , rubs the straight - edge with paint , and then applies it in ...
Side 14
... coincide and be identical . The ordinary frames of windows and doors , and nearly all archi- tectural framework , consist of systems of parallel lines at right- angles with each other . All fabrics produced in the loom consist of two ...
... coincide and be identical . The ordinary frames of windows and doors , and nearly all archi- tectural framework , consist of systems of parallel lines at right- angles with each other . All fabrics produced in the loom consist of two ...
Side 18
... coincide , or fill the same space , are identical . X. All right - angles are equal to one another . POSTULATES . I. To draw a straight line from any one point to any other point . II . To produce a terminated straight line to any ...
... coincide , or fill the same space , are identical . X. All right - angles are equal to one another . POSTULATES . I. To draw a straight line from any one point to any other point . II . To produce a terminated straight line to any ...
Side 20
... coincide with AC ; then , along the other edge , upon the surface , draw the line CD . Now , reversing the square , apply the first side so as to coincide A F D B с with BC ; and then , along the second side 20 ELEMENTS OF GEOMETRY .
... coincide with AC ; then , along the other edge , upon the surface , draw the line CD . Now , reversing the square , apply the first side so as to coincide A F D B с with BC ; and then , along the second side 20 ELEMENTS OF GEOMETRY .
Side 21
... coincide . This method not only detects an error in the instrument , when it exists , but also shows the amount of error ; that is , how much the angle of the square exceeds or falls short of being a right - angle , or of containing ...
... coincide . This method not only detects an error in the instrument , when it exists , but also shows the amount of error ; that is , how much the angle of the square exceeds or falls short of being a right - angle , or of containing ...
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Vanlige uttrykk og setninger
a+b+c altitude angle ABC angle BAC angle BCD bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder denote diagonal diameter dicular distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line AC line CD lines drawn measured by half meet multiplied number of sides parallel planes parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar similar triangles solid angle sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Populære avsnitt
Side 231 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Side 147 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Side 17 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Side 28 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Side 233 - The volume of a cylinder is equal to the product of its base by its altitude. Let the volume of the cylinder be denoted by V, its base by B, and its altitude by H.
Side 276 - THEOREM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side...
Side 120 - 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'.
Side 18 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.
Side 232 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 96 - Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional.