Elements of Geometry: With, Practical Applications |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 12
Degrees are commonly expressed by placing over the number a small circle ;
thus 3600 signifies 360 degrees ; 900 , in the same way , denotes 90 degrees .
That the student may become familiar with some of the numerical denominations
of ...
Degrees are commonly expressed by placing over the number a small circle ;
thus 3600 signifies 360 degrees ; 900 , in the same way , denotes 90 degrees .
That the student may become familiar with some of the numerical denominations
of ...
Σελίδα 43
Conceive the sides to be produced all in the same direction , forming exterior
angles , which we will denote by the capital letters A , B , C , etc. , while their corA
responding interior angles are denoted by the small letters a , b , c , etc. Now any
...
Conceive the sides to be produced all in the same direction , forming exterior
angles , which we will denote by the capital letters A , B , C , etc. , while their corA
responding interior angles are denoted by the small letters a , b , c , etc. Now any
...
Σελίδα 44
... and minutes : he takes the sum of all these angles , and observes whether it is
such as to correspond with the above conditions . If the number of sides of the
field be denoted by n , then the sum of all the interior angles ought to be equal ...
... and minutes : he takes the sum of all these angles , and observes whether it is
such as to correspond with the above conditions . If the number of sides of the
field be denoted by n , then the sum of all the interior angles ought to be equal ...
Σελίδα 56
Another method of denoting the square of the sum of any number of lines , is as
follows : The square of the sum of any number of lines is equal to the square of
the first line , plus twice the reclangle of the first line into the second ; plus the ...
Another method of denoting the square of the sum of any number of lines , is as
follows : The square of the sum of any number of lines is equal to the square of
the first line , plus twice the reclangle of the first line into the second ; plus the ...
Σελίδα 61
+ BC2 for the area of the entire square ABDF ; but the area of this square is
denoted by AB , and therefore AB = AC2 + BC ?. . ( 51 . ) The following is another
simple demonstration : K F L M D Let ABC be the right - angled triangle , having
the ...
+ BC2 for the area of the entire square ABDF ; but the area of this square is
denoted by AB , and therefore AB = AC2 + BC ?. . ( 51 . ) The following is another
simple demonstration : K F L M D Let ABC be the right - angled triangle , having
the ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
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 |