Elements of Geometry: With, Practical Applications |
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Σελίδα 7
Egypt is supposed to have been the birthplace of this beautiful and exact science
, where the annual inundations of the Nile rendered it of peculiar value to the
inhabitants as a means of ascertaining their effaced boundaries . At the present ...
Egypt is supposed to have been the birthplace of this beautiful and exact science
, where the annual inundations of the Nile rendered it of peculiar value to the
inhabitants as a means of ascertaining their effaced boundaries . At the present ...
Σελίδα 9
When we hereafter speak of a line , unless otherwise expressed , we shall mean
a straight line . Thus , AB and CD are straight lines ; GH and KL are curved lines .
The extremities of these lines , as well as their intersections F and M , are points ...
When we hereafter speak of a line , unless otherwise expressed , we shall mean
a straight line . Thus , AB and CD are straight lines ; GH and KL are curved lines .
The extremities of these lines , as well as their intersections F and M , are points ...
Σελίδα 17
DEFINITIONS OF TERMS . 1. An axiom is a self - evident proposition . 2. A
theorem is a truth , which becomes evident by means of a train of reasoning
called a demonstration . 3. A problem is a question proposed , which requires a
solution . 4.
DEFINITIONS OF TERMS . 1. An axiom is a self - evident proposition . 2. A
theorem is a truth , which becomes evident by means of a train of reasoning
called a demonstration . 3. A problem is a question proposed , which requires a
solution . 4.
Σελίδα 20
When much precision is required , great care should be taken by those
purchasing this instrument , to test its accuracy . The preceding Proposition
suggests a very simple and sure means of making such test . Suppose the
straight line AB to be ...
When much precision is required , great care should be taken by those
purchasing this instrument , to test its accuracy . The preceding Proposition
suggests a very simple and sure means of making such test . Suppose the
straight line AB to be ...
Σελίδα 39
By means of a movable joint , the rulers which eompose this kind of square can
be made to form any angle whatever with each other , which , in practice , is
found to be quite convenient . To suit this more general case , the preceding
corollary ...
By means of a movable joint , the rulers which eompose this kind of square can
be made to form any angle whatever with each other , which , in practice , is
found to be quite convenient . To suit this more general case , the preceding
corollary ...
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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 |