Elements of Geometry: With, Practical Applications |
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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 9
A straight line is sometimes defined as one which , throughout its whole extent ,
does not change its direction . And , in accordance with this definition , a curved
line may be regarded as one whose direction is constantly changing . ( 9. ) ...
A straight line is sometimes defined as one which , throughout its whole extent ,
does not change its direction . And , in accordance with this definition , a curved
line may be regarded as one whose direction is constantly changing . ( 9. ) ...
Σελίδα 12
Angular magnitude is expressed numerically by supposing the whole space to be
divided into 360 equal portions called degrees , so that 90 degrees will be the
measure of a right - angle . The degree is divided into 60 equal portions called ...
Angular magnitude is expressed numerically by supposing the whole space to be
divided into 360 equal portions called degrees , so that 90 degrees will be the
measure of a right - angle . The degree is divided into 60 equal portions called ...
Σελίδα 13
The magnitude of the circumference has nothing to do with the magnitude of the
angles , since their magnitudes depend wholly upon the fractional parts of the
whole angular space about the centre C. ( 19. ) In the useful arts , all cutting tools
...
The magnitude of the circumference has nothing to do with the magnitude of the
angles , since their magnitudes depend wholly upon the fractional parts of the
whole angular space about the centre C. ( 19. ) In the useful arts , all cutting tools
...
Σελίδα 18
When equals are added to equals , the whole are equal . III . When equals are
taken from equals , the ... 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
...
When equals are added to equals , the whole are equal . III . When equals are
taken from equals , the ... 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
...
Σελίδα 28
But a part cannot be equal to the whole ; ( Ax . VIII ; ) hence there can be no
inequality between the sides CB and CA , and therefore the triangle is isosceles .
PROPOSITION VIII . THEOREM . When two triangles have the 28 ELEMENTS OF
...
But a part cannot be equal to the whole ; ( Ax . VIII ; ) hence there can be no
inequality between the sides CB and CA , and therefore the triangle is isosceles .
PROPOSITION VIII . THEOREM . When two triangles have the 28 ELEMENTS OF
...
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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 |