Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 sider |
Inni boken
Resultat 1-5 av 13
Side 6
... polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides , the simplest of all , is called a triangle ... equilateral triangle is that which has three equal sides ...
... polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides , the simplest of all , is called a triangle ... equilateral triangle is that which has three equal sides ...
Side 7
... equilateral polygon , is one which has all its sides equal ; an equian- gular polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the ...
... equilateral polygon , is one which has all its sides equal ; an equian- gular polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the ...
Side 86
... polygon , which is at once equilateral and equiangular , is called a regular polygon . Regular polygons may have any number of sides ; the equilateral tri- angle is one of three sides ; and the square is one of four sides . LEMMA ...
... polygon , which is at once equilateral and equiangular , is called a regular polygon . Regular polygons may have any number of sides ; the equilateral tri- angle is one of three sides ; and the square is one of four sides . LEMMA ...
Side 99
... equilateral and equiangular quindecagon will be inscribed in it . And in the same manner as was done in the pentagon ... polygon being inscribed , if the arcs subtended by its sides be severally bisected , the chords of those semi - arcs will ...
... equilateral and equiangular quindecagon will be inscribed in it . And in the same manner as was done in the pentagon ... polygon being inscribed , if the arcs subtended by its sides be severally bisected , the chords of those semi - arcs will ...
Side 158
... polygon inscribed in a circle is less than the circumference of the circle ... Equilateral polygons , of the same number of sides , inscribed in circles ... equal , and they B H A N M F E K are equal 158 SUPPLEMENT TO THE ELEMENTS.
... polygon inscribed in a circle is less than the circumference of the circle ... Equilateral polygons , of the same number of sides , inscribed in circles ... equal , and they B H A N M F E K are equal 158 SUPPLEMENT TO THE ELEMENTS.
Andre utgaver - Vis alle
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1842 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1840 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1845 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore