Elements of Plane and Solid Geometry |
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC and DEF ABCD altitude angle formed Apply base bisector bisects called chord circle circumference circumscribed coincide common cone Construct contains converse COROLLARY cylinder DEFINITION described diagonals diameter difference dihedral angles divided Draw drawn equally distant equilateral triangle equivalent EXERCISE exterior angles extremities faces figure Find four frustum given circle given line given point greater half homologous included inscribed isosceles lateral area length less limit line joining mean measure meet middle points oblique opposite sides parallel parallelogram parallelopiped pass perimeter perpendicular placed plane polygon polyhedron prism prolonged Proof proportional PROPOSITION Prove pyramid quadrilateral radii radius ratio rectangle Required respectively right angles segments Show sides similar sphere square straight line Suggestion surface tangent tetrahedron THEOREM third trapezoid triangle triangle ABC unequal unit vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 167 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 139 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 187 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 202 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 180 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Σελίδα 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.
Σελίδα 195 - Since similar triangles are to each other as the squares of their homologous sides, ABC : DBE : : AB' : BD3 ; whence BD = AB J ^5| ~ AB A/— ^ — . j A150 f in -f- n The construction of Fig.
Σελίδα 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Σελίδα 17 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Plane and Solid Geometry |
| Συγγραφέας | Alan Sanders |
| Εκδότης | American Book Company, 1903 |
| Πρωτότυπο από | το Πανεπιστήμιο του Μίτσιγκαν |
| Ψηφιοποιήθηκε στις | 11 Ιουν. 2007 |
| Μέγεθος | 384 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |