Elements of Geometry: With, Practical Applications |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 8
From any point to another point an infinite number of lines may be drawn , but
only one straight line can be drawn ; all the others will have flexure in a greater or
less degree . The straight line has no flexure . The outlines of the different objects
...
From any point to another point an infinite number of lines may be drawn , but
only one straight line can be drawn ; all the others will have flexure in a greater or
less degree . The straight line has no flexure . The outlines of the different objects
...
Σελίδα 11
Every angle BAC which is less than a right - angle , is called an acute angle ; and
every angle DFG which is greater than a right - angle , is called an obtuse angle .
D G с C D A B А4 ( 15. ) If we suppose the extremity B BOOK I. 11.
Every angle BAC which is less than a right - angle , is called an acute angle ; and
every angle DFG which is greater than a right - angle , is called an obtuse angle .
D G с C D A B А4 ( 15. ) If we suppose the extremity B BOOK I. 11.
Σελίδα 14
... greater number of sides . XV . A triangle having the three sides equal , is called
an equilateral triangle ; one having two sides equal , is called an isosceles
triangle ; and one having no two sides equal , is called a scalene triangle . AAN
XVI .
... greater number of sides . XV . A triangle having the three sides equal , is called
an equilateral triangle ; one having two sides equal , is called an isosceles
triangle ; and one having no two sides equal , is called a scalene triangle . AAN
XVI .
Σελίδα 16
From the above definitions , in connection with the diagrams , it will be readily
seen that the triangle has no diagonal , the quadrilateral has two diagonals , the
pentagon has five , and so on for polygons of a greater number of sides .
From the above definitions , in connection with the diagrams , it will be readily
seen that the triangle has no diagonal , the quadrilateral has two diagonals , the
pentagon has five , and so on for polygons of a greater number of sides .
Σελίδα 18
Every whole is equal to all its parts taken together , and greater than any of them .
IX . Things which 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 ...
Every whole is equal to all its parts taken together , and greater than any of them .
IX . Things which 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 ...
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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 |