Elements of Geometry: With, Practical Applications |
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Σελίδα 8
In carpentry and other arts , straight lines are formed upon plane surfaces by
stretching upon the surface a flexible cord , previously rubbed over with chalk .
The middle portion of the cord is then raised , and allowed to recoil by its
elasticity , 8 ...
In carpentry and other arts , straight lines are formed upon plane surfaces by
stretching upon the surface a flexible cord , previously rubbed over with chalk .
The middle portion of the cord is then raised , and allowed to recoil by its
elasticity , 8 ...
Σελίδα 9
... a curved line may be regarded as one whose direction is constantly changing .
( 9. ) If an artisan wishes to make a straight - edge , he forms two distinct rules ,
bringing their edges as near straight as he can by the use of the common plane ...
... a curved line may be regarded as one whose direction is constantly changing .
( 9. ) If an artisan wishes to make a straight - edge , he forms two distinct rules ,
bringing their edges as near straight as he can by the use of the common plane ...
Σελίδα 10
This accounts , in part , for the superior pleasure enjoyed in viewing the ever -
varying and beautiful outlines of landscapes , as contrasted with the regular and
straight outlines of architectural works . VII . A plane surface , or simply a plane ,
is a ...
This accounts , in part , for the superior pleasure enjoyed in viewing the ever -
varying and beautiful outlines of landscapes , as contrasted with the regular and
straight outlines of architectural works . VII . A plane surface , or simply a plane ,
is a ...
Σελίδα 11
Ź A the eye , many of the curved surfaces are far more graceful and pleasing than
the plane . IX . When two straight lines AB , AC , meet each other , the space
included between the lines is called an angle . The point of intersection A , is the
...
Ź A the eye , many of the curved surfaces are far more graceful and pleasing than
the plane . IX . When two straight lines AB , AC , meet each other , the space
included between the lines is called an angle . The point of intersection A , is the
...
Σελίδα 12
If we suppose the extremity B A3 A2 of the line A , B to be fixed , while the A1 line
revolves in the same plane about B , so as to take the successive positions AjB ,
A B , A3B , A4B , & c . , until it has -A made a complete revolution and returnA5 ...
If we suppose the extremity B A3 A2 of the line A , B to be fixed , while the A1 line
revolves in the same plane about B , so as to take the successive positions AjB ,
A B , A3B , A4B , & c . , until it has -A made a complete revolution and returnA5 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle base bisect called centre chord circ circle circumference circumscribed coincide common cone consequently construction contained convex corresponding cylinder denote described diagonal diameter difference distance divided double draw equal equilateral equivalent exterior angle extremities figure follows formed four given gives greater hence included inscribed intersection join length less lines drawn magnitude manner mean measured measured by half meet multiplied opposite parallel parallel planes parallelogram parallelopipedon pass perimeter perpendicular plane plane MN polygon portion position prism PROBLEM produced Prop proportional PROPOSITION pyramid radii radius ratio rectangle remain respectively right-angles sector segment shown sides similar solid angle sphere spherical square straight line suppose surface taken tangent THEOREM third triangle ABC vertex VIII whole zone
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 28 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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'.
Σελίδα 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.
Σελίδα 232 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 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.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry: With, Practical Applications |
| Συγγραφέας | George Roberts Perkins |
| Εκδότης | D. Appleton and Company, 1850 |
| Πρωτότυπο από | Πανεπιστήμιο Χάρβαρντ |
| Ψηφιοποιήθηκε στις | 1 Μαρ. 2007 |
| Μέγεθος | 320 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |