The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's edCassell, Petter and Galpin, 1881 - 212 σελίδες |
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Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 84
... regular polygon . Polygons receive particular names , according to the number of their sides and angles . Thus beginning with the triangle and the trapezium , for the sake of uniformity these are called the trigon , and the tetragon ...
... regular polygon . Polygons receive particular names , according to the number of their sides and angles . Thus beginning with the triangle and the trapezium , for the sake of uniformity these are called the trigon , and the tetragon ...
Σελίδα 87
... regular polygon may have one circle described about it , and another inscribed in it : and the same point is the centre of both circles . For , it is plain , first , that if all the angles of a regular polygon be bisected , the ...
... regular polygon may have one circle described about it , and another inscribed in it : and the same point is the centre of both circles . For , it is plain , first , that if all the angles of a regular polygon be bisected , the ...
Σελίδα 89
... regular octagon may be inscribed in the circle ; and by drawing tangents through the angular points of the inscribed octagon , a regular octagon may be described about the circle . In the same manner , by the con- tinuous bisection of ...
... regular octagon may be inscribed in the circle ; and by drawing tangents through the angular points of the inscribed octagon , a regular octagon may be described about the circle . In the same manner , by the con- tinuous bisection of ...
Σελίδα 89
... regular polygon , may be found by bisecting any two adjacent angles , or any two adjacent sides . For the point where the bisecting straight lines meet is the centre required . LEMMA 2. - If any regular polygon be inscribed in a circle ...
... regular polygon , may be found by bisecting any two adjacent angles , or any two adjacent sides . For the point where the bisecting straight lines meet is the centre required . LEMMA 2. - If any regular polygon be inscribed in a circle ...
Σελίδα 89
... regular octagon may be inscribed in the circle ; and by drawing tangents through the angular points of the inscribed octagon , a regular octagon may be described about the circle . In the same manner , by the con- tinuous bisection of ...
... regular octagon may be inscribed in the circle ; and by drawing tangents through the angular points of the inscribed octagon , a regular octagon may be described about the circle . In the same manner , by the con- tinuous bisection of ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of geometry; or, The first six books, with the eleventh and ... Euclides Πλήρης προβολή - 1855 |
The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD ABC is equal adjacent angles altitude angle ABC angle ACB angle BAC angle EDF base BC bisected centre circle ABCD circumference common section cone Corollary cylinder described diameter draw equal angles equal Ax equal Const equal Hyp equiangular equimultiples Euclid exterior angle fore given rectilineal given straight line gnomon homologous inscribed join less Let the straight meet multiple opposite angle parallel parallelogram parallelopiped pentagon perpendicular polygon prism produced proposition Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD sphere squares of AC straight line AB straight line drawn straight lines A B THEOREM third three plane angles three straight lines touches the circle triangle ABC triplicate ratio twice the rectangle vertex Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 21 - 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 41 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Σελίδα 2 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 93 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Σελίδα 25 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 126 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 93 - A LESS magnitude is said to be a part of a greater magnitude, when the less measures the greater, that is, ' when the less is contained a certain number of times exactly in the greater.
Σελίδα 40 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Σελίδα 2 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 19 - THEOREM. IF two triangles have two sides of the one equal to two sides of the...