Elements of Geometry: With, Practical Applications |
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Αποτελέσματα 1 - 5 από τα 15.
Σελίδα 14
When it is limited by straight lines , the figure is called a rectilineal figure , or a
polygon ; and the limiting lines , taken together , form the contour or perimeter of
the polygon . ( 22. ) The surfaces of level fields , bounded by straight fences , are
...
When it is limited by straight lines , the figure is called a rectilineal figure , or a
polygon ; and the limiting lines , taken together , form the contour or perimeter of
the polygon . ( 22. ) The surfaces of level fields , bounded by straight fences , are
...
Σελίδα 96
3. Similar figures are those which have the angles of the one equal to the angles
of the other , each to each , and the sides about the equal angles proportional . 4.
The perimeter , or contour of a figure , is the sum of all its sides , or the length of ...
3. Similar figures are those which have the angles of the one equal to the angles
of the other , each to each , and the sides about the equal angles proportional . 4.
The perimeter , or contour of a figure , is the sum of all its sides , or the length of ...
Σελίδα 122
The perimeters of similar polygons are to each other as their homologous sides ;
and their areas are to each other as the ... Now the sum of these antecedents , AB
+ BC + CD , & c . , which makes the perimeter of the first polygon , is to the sum ...
The perimeters of similar polygons are to each other as their homologous sides ;
and their areas are to each other as the ... Now the sum of these antecedents , AB
+ BC + CD , & c . , which makes the perimeter of the first polygon , is to the sum ...
Σελίδα 125
To make a polygon similar to a given polygon , and having its perimeter in a
given ratio to the perimeter of the given polygon . Let ABCDF be the given
polygon . From any point , either within or without the polygon , as G , draw lines
to all the ...
To make a polygon similar to a given polygon , and having its perimeter in a
given ratio to the perimeter of the given polygon . Let ABCDF be the given
polygon . From any point , either within or without the polygon , as G , draw lines
to all the ...
Σελίδα 156
The surface of every polygon in which a circle may be inscribed , is equivalent to
the rectangle of half the radius of that circle , and the perimeter of the polygon .
E D C B В Let O be the centre of the circle inscribed in the polygon ABCDE .
The surface of every polygon in which a circle may be inscribed , is equivalent to
the rectangle of half the radius of that circle , and the perimeter of the polygon .
E D C B В Let O be the centre of the circle inscribed in the polygon ABCDE .
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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 |