Elements of Geometry: With, Practical Applications |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 11
The point of intersection A , is the vertex of the angle ; and the lines AB , AC are
the sides of the angle . Perhaps it would be better to define an angle as the
opening between two lines which meet . An angle is sometimes referred to by
simply ...
The point of intersection A , is the vertex of the angle ; and the lines AB , AC are
the sides of the angle . Perhaps it would be better to define an angle as the
opening between two lines which meet . An angle is sometimes referred to by
simply ...
Σελίδα 16
A diagonal of a polygon is a line joining the vertices of two angles , not adjacent .
A A A ( 24. ) From the above definitions , in connection with the diagrams , it will
be readily seen that the triangle has no diagonal , the quadrilateral has two ...
A diagonal of a polygon is a line joining the vertices of two angles , not adjacent .
A A A ( 24. ) From the above definitions , in connection with the diagrams , it will
be readily seen that the triangle has no diagonal , the quadrilateral has two ...
Σελίδα 30
... equilateral triangles be constructed externally to the given triangle , then will
the straight lines drawn from the vertices of the equilateral triangles to the
opposite angles of the given triangle be equal . Let ABC be the given triangle ,
upon G ...
... equilateral triangles be constructed externally to the given triangle , then will
the straight lines drawn from the vertices of the equilateral triangles to the
opposite angles of the given triangle be equal . Let ABC be the given triangle ,
upon G ...
Σελίδα 49
The altitude of a triangle is the perpendicular drawn from the vertex to the
opposite side , or opposite side produced , considered as the base ; thus , CD is
the altitude of the triangle ABC . 4. The altitude of a parallelogram is the
perpendicular ...
The altitude of a triangle is the perpendicular drawn from the vertex to the
opposite side , or opposite side produced , considered as the base ; thus , CD is
the altitude of the triangle ABC . 4. The altitude of a parallelogram is the
perpendicular ...
Σελίδα 51
Since they have the same altítude , the line CD which joins their vertices will be
parallel to the common base AB . Draw AF parallel to BC , and BG parallel to AD ;
thus forming the two parallelograms ABCF and ABGD , which are equivalent .
Since they have the same altítude , the line CD which joins their vertices will be
parallel to the common base AB . Draw AF parallel to BC , and BG parallel to AD ;
thus forming the two parallelograms ABCF and ABGD , which are equivalent .
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Elements of Geometry with Practical Applications George R. Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
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 |