The Element of Geometry |
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Seite 44
VIII . The figure contained by two straight lines drawn from the centre , and the circumference between them , may be called a sector of a circle . PROPOSITION I. THEOREM . If the radius of one circle 44 THE ELEMENT.
VIII . The figure contained by two straight lines drawn from the centre , and the circumference between them , may be called a sector of a circle . PROPOSITION I. THEOREM . If the radius of one circle 44 THE ELEMENT.
Seite 45
If the radius of one circle is equal to the radius of another circle , the cir-cles are also equal . Let ABG , DEF be two circles , having the radius AC of the one circle equal to the radius DI of the other circle , the circles will be ...
If the radius of one circle is equal to the radius of another circle , the cir-cles are also equal . Let ABG , DEF be two circles , having the radius AC of the one circle equal to the radius DI of the other circle , the circles will be ...
Seite 49
A perpendicular drawn from the extremity of a radius , is a tangent to the circumference of a circle . а Let DFG be a circle , A the centre , AD a radius , and BC perpendicular to AD at the point D ; BC is a tangent to the circumference ...
A perpendicular drawn from the extremity of a radius , is a tangent to the circumference of a circle . а Let DFG be a circle , A the centre , AD a radius , and BC perpendicular to AD at the point D ; BC is a tangent to the circumference ...
Seite 61
to DV the base GB ; and the circle described from the centre G , with the radius GA , shall pass through the point B : Let this be the circle AHB , and because from the point A the extremity of the diameter AE , AD is drawn at right ...
to DV the base GB ; and the circle described from the centre G , with the radius GA , shall pass through the point B : Let this be the circle AHB , and because from the point A the extremity of the diameter AE , AD is drawn at right ...
Seite 94
In AB take any point D ; from A , with the radius AD , describe an arc intersecting AC in E ; join DE , bisect it in F ( 8. 1. ) , and join AF : the angle DAF is equal to the angle EAF . : A D D ) T B o Because the triangles DAF and EAF ...
In AB take any point D ; from A , with the radius AD , describe an arc intersecting AC in E ; join DE , bisect it in F ( 8. 1. ) , and join AF : the angle DAF is equal to the angle EAF . : A D D ) T B o Because the triangles DAF and EAF ...
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The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Keine Leseprobe verfügbar - 2017 |
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AC is equal angle ABC angle ACB angle BAC angled triangle angles equal base bisect called centre circle circle ABCD circumference coincide common described diameter difference direction distance divided double draw drawn equal angles equiangular equivalent extremity fall figure fore four given straight line greater half join length less Let ABC likewise mean meet parallel parallelogram pass perpendicular plane polygon produced PROP proportional proved Q. E. D. PROP quantities radius ratio reason rectangle contained rectilineal figure remaining angle right angles segment side AC sides similar sine space square of AC tangent THEOR third triangle ABC twice the rectangle wherefore whole
Beliebte Passagen
Seite 25 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Seite 13 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Seite 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Seite 29 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Seite 90 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Seite 87 - ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes.
Seite 1 - If two triangles have two sides of the one equal to two sides of the...
Seite 13 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Seite 64 - 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.
Seite 19 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Bibliografische Informationen
| Titel | The Element of Geometry |
| Autor/in | John Playfair |
| Verlag | W.E. Dean, 1836 |
| Original von | New York Public Library |
| Digitalisiert | 21. Juni 2006 |
| Länge | 114 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |