The first two books of the Elements of Euclid, with additional figures, notes, explanations, and deductions, by N. Pocock1852 |
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Side
... circle is a plain figure contained by one straight line , & c . And most of these faults arise from want of atten- tion to the figures . The great number of additional figures , and the large type in which the work has been printed ...
... circle is a plain figure contained by one straight line , & c . And most of these faults arise from want of atten- tion to the figures . The great number of additional figures , and the large type in which the work has been printed ...
Side 5
... circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines BOOK I. drawn from a certain point within the figure B 3 OF EUCLID . 5 time greater than it, and the increase of ...
... circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines BOOK I. drawn from a certain point within the figure B 3 OF EUCLID . 5 time greater than it, and the increase of ...
Side 6
... circle . A. B. B [ In the above figures A is the centre of the circle ; B is not the centre . ] XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A ...
... circle . A. B. B [ In the above figures A is the centre of the circle ; B is not the centre . ] XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A ...
Side 11
... circle may be described from any centre , at any distance from that centre . [ These three postulates are equivalent in practice to allowing a pen , a ruler , and a pair of compasses . Having these , the reader will be able to draw any ...
... circle may be described from any centre , at any distance from that centre . [ These three postulates are equivalent in practice to allowing a pen , a ruler , and a pair of compasses . Having these , the reader will be able to draw any ...
Side 14
... circle BCD ; and from the centre B , at the distance BA , de- scribe the circle ACE ; and from the point C , in which the circles cut B E one another , draw the straight lines " , CA , CB , to the points AB ; ABC shall be an equilateral ...
... circle BCD ; and from the centre B , at the distance BA , de- scribe the circle ACE ; and from the point C , in which the circles cut B E one another , draw the straight lines " , CA , CB , to the points AB ; ABC shall be an equilateral ...
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The First Two Books of the Elements of Euclid, with Additional Figures ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angled triangle angles CBA angles equal Arithmetic base BC BC is equal bisected BOOK bound centre cloth coincide Delectus diameter double English Notes equal to BC equal to twice Eton Eton College Euclid's Elements Exercises exterior angle four right angles Geography given point given rectilineal angle given straight line gnomon greater Greek half a right interior and opposite isosceles JANE MARCET join Let ABC Let the straight Lexicon M.A. New Edition Maps opposite angle parallel to CD parallelogram perpendicular Post 8vo produced Proposition rectangle BC rectangle contained rectilineal figure remaining angle rhombus right angles Schools Shrewsbury School sides BA sides equal square described square of AC THEOR triangle ABC twice the rectangle VALPY Valpy's wherefore xxxi
Populære avsnitt
Side 18 - If two triangles have two sides of the one equal to two sides of the...
Side 67 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 51 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Side 109 - ... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced.
Side 12 - Mrs. R. Lee's Elements of Natural History ; or, First Principles of Zoology : Comprising the Principles of Classification, interspersed with amusing and instructive Accounts of the most remarkable Animals.
Side 53 - 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.
Side 76 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Side 34 - ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight line with CB.
Side 11 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 37 - Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles.