Elements of Geometry |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα
of the figures are full lines , the lines employed as aids in the demonstrations are
short - dotted , and the resulting lines are longdotted . In each proposition a
concise statement of what is given is printed in one kind of type , of what is
required in ...
of the figures are full lines , the lines employed as aids in the demonstrations are
short - dotted , and the resulting lines are longdotted . In each proposition a
concise statement of what is given is printed in one kind of type , of what is
required in ...
Σελίδα
should state and prove the propositions orally , using a pointer to indicate on the
figure every line and angle named . ... whether the converse be true or false , and
if the converse be true to demonstrate it ; and also to give well - considered ...
should state and prove the propositions orally , using a pointer to indicate on the
figure every line and angle named . ... whether the converse be true or false , and
if the converse be true to demonstrate it ; and also to give well - considered ...
Σελίδα 7
If a line , as CB , 4 _ _ 4 _ B , be produced through C , the portions C B and C A
may be regarded as different lines having opposite directions from ... It must also
be possible to divide a given straight line into an assigned number of equal parts
.
If a line , as CB , 4 _ _ 4 _ B , be produced through C , the portions C B and C A
may be regarded as different lines having opposite directions from ... It must also
be possible to divide a given straight line into an assigned number of equal parts
.
Σελίδα 9
A Right Angle is an angle included between two straight lines which meet each
other so that the two adjacent angles formed by producing one of the ... The
Complement of an angle is the difference between a right angle and the given
angle .
A Right Angle is an angle included between two straight lines which meet each
other so that the two adjacent angles formed by producing one of the ... The
Complement of an angle is the difference between a right angle and the given
angle .
Σελίδα 10
The Supplement of an angle is the difference between two right angles and the
given angle . ... same plane , and let B B ' be perpendicular to A A ' at the point O .
Suppose the straight line 0 C to move A ' — in this plane from coincidence with 0
...
The Supplement of an angle is the difference between two right angles and the
given angle . ... same plane , and let B B ' be perpendicular to A A ' at the point O .
Suppose the straight line 0 C to move A ' — in this plane from coincidence with 0
...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
acute adjacent altitude arc A B base bisect called centre chord circle circumference circumscribed coincide common Cons construct contained COROLLARY describe diagonals diameter difference direction divided Draw equal distances equal respectively equilateral equivalent erected extremities fall figure formed four given given line greater homologous sides hypotenuse included inscribed intersect isosceles joining less Let A B limit line A B lines drawn mean measured meet middle point multiplied one-half opposite sides parallelogram perimeter perpendicular plane position PROBLEM proportional prove Q. E. D. PROPOSITION quantities radii radius equal ratio rect rectangles regular polygon right angles segment shortest Show similar similar polygons square straight line Substitute subtend surface symmetrical tangent THEOREM triangle variable vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 116 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 126 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 197 - Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon.
Σελίδα 192 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 132 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 165 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 62 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector, but within the angle, is unequally distant from the sides of the angle.
Σελίδα 63 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 136 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry |
| Συγγραφέας | George Albert Wentworth |
| Εκδότης | Ginn and Heath, 1881 |
| Πρωτότυπο από | Πανεπιστήμιο Χάρβαρντ |
| Ψηφιοποιήθηκε στις | 28 Φεβ. 2007 |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |