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 TrigonometryBell & Bradfute, 1804 - 440 sider |
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Side iv
... Such being the merits of Dr SIMSON'S edition , and the reception it has met with having been every way fuitable , the work now offered to the public will perhaps appear unnecessary . And in- deed , if the geometer just named , had ...
... Such being the merits of Dr SIMSON'S edition , and the reception it has met with having been every way fuitable , the work now offered to the public will perhaps appear unnecessary . And in- deed , if the geometer just named , had ...
Side vii
... Such are those made on the definitions in the first Book , and particularly on that of a straight line . A new Axiom is also introduced in the room of the 12th , for the purpose of demonstrating more eafi- ly some of the properties of ...
... Such are those made on the definitions in the first Book , and particularly on that of a straight line . A new Axiom is also introduced in the room of the 12th , for the purpose of demonstrating more eafi- ly some of the properties of ...
Side xi
... such like hypotheses , is to create artifi- cial difficulties , and to embarrass geometrical in- vestigation with more obstacles than the nature of things has thrown in its way . It is a rule , too , which cannot always be followed ...
... such like hypotheses , is to create artifi- cial difficulties , and to embarrass geometrical in- vestigation with more obstacles than the nature of things has thrown in its way . It is a rule , too , which cannot always be followed ...
Side 3
... such that all straight lines drawn from a certain point within the figure to the circum- ference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle is a straight line ...
... such that all straight lines drawn from a certain point within the figure to the circum- ference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle is a straight line ...
Side 56
... such as in the preceding . Because GK is equal to CB , and CB to BD , and BD to KN , GK is equal to KN . For the same reason , PR is equal to RO ; and because CB is equal to BD , and GK to KN , the rectangles CK and BN are equal , as ...
... such as in the preceding . Because GK is equal to CB , and CB to BD , and BD to KN , GK is equal to KN . For the same reason , PR is equal to RO ; and because CB is equal to BD , and GK to KN , the rectangles CK and BN are equal , as ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Ingen forhåndsvisning tilgjengelig - 2015 |
Elements of Geometry: Containing the First Six Books of Euclid: With a ... Euclid,Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2015 |
Elements of Geometry: Containing the First Six Books of Euclid, With a ... Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
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Populære avsnitt
Side 27 - 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. either the sides adjacent to the equal...
Side 172 - 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.
Side 42 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Side 84 - The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which...
Side 106 - IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle.
Side 22 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA : the side AC is likewise greater than the side AB. For, if it be not greater, AC must...
Side 64 - If then the sides of it, BE, ED are equal to one another, it is a square, and what was required is now done: But if they are not equal, produce one of them BE to F, and make EF equal to ED, and bisect BF in G : and from the centre G, at the distance GB, or GF, describe the semicircle...
Side 166 - IN a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another.
Side 54 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced...
Side 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.