The first two books of the Elements of Euclid, with additional figures, notes, explanations, and deductions, by N. Pocock1852 |
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Resultat 1-5 av 21
Side
... take the trouble to refer to the Propositions indicated . Those selected are such as appeared to be most easy and interesting . It only remains to notice that the work is intended for the use of students at Oxford in their first year ...
... take the trouble to refer to the Propositions indicated . Those selected are such as appeared to be most easy and interesting . It only remains to notice that the work is intended for the use of students at Oxford in their first year ...
Side 20
... take any point F , and from AE the greater cut off AG equal to AF the less , and join FC , GB . Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle ...
... take any point F , and from AE the greater cut off AG equal to AF the less , and join FC , GB . Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle ...
Side 21
... take any points , C , C , C. Join AC . Then if BC be joined , the triangle BAC will be isosceles , hav- C ing the sides BA , AC equal to each other . ] BOOK I. b iv . 1 . BOOK I. a iii . 1 . b iv . c 3 OF EUCLID . 21 and FC was proved ...
... take any points , C , C , C. Join AC . Then if BC be joined , the triangle BAC will be isosceles , hav- C ing the sides BA , AC equal to each other . ] BOOK I. b iv . 1 . BOOK I. a iii . 1 . b iv . c 3 OF EUCLID . 21 and FC was proved ...
Side 27
... Take any point D in AB , and from AC cut off AE equal to AD ; join DE , b and upon it describe an equilateral triangle DEF ; then join AF ; A D E a iii . 1 . bi . 1 . B F the straight line AF bisects the angle BAC . Because AD is equal ...
... Take any point D in AB , and from AC cut off AE equal to AD ; join DE , b and upon it describe an equilateral triangle DEF ; then join AF ; A D E a iii . 1 . bi . 1 . B F the straight line AF bisects the angle BAC . Because AD is equal ...
Side 29
... Take any point D in AC , F BOOK I. and a make CE equal to CD , and upon DE describe the equi- lateral triangle DFE , and join FC , A D a iii . 1 . b i . 1 . E B the straight line FC drawn from the given point C is at right angles to the ...
... Take any point D in AC , F BOOK I. and a make CE equal to CD , and upon DE describe the equi- lateral triangle DFE , and join FC , A D a iii . 1 . b i . 1 . E B the straight line FC drawn from the given point C is at right angles to the ...
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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.