Gradations in Euclid : books i. and ii., with an explanatory preface [&c.] by H. Green1858 |
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Página v
Euclides Henry Green. Only a portion of the Uses to which the Propositions may be applied has been given , - ‚ —more in the way of example , and to point out in some instances the progress of geometrical discovery , than with the view of ...
Euclides Henry Green. Only a portion of the Uses to which the Propositions may be applied has been given , - ‚ —more in the way of example , and to point out in some instances the progress of geometrical discovery , than with the view of ...
Página 8
Euclides Henry Green. A Corollary is an inference made immediately from a propo ... given . The Length only of a line is meant , when the line is said to be ... point of a figure : with a change of position in the figure , each angle may ...
Euclides Henry Green. A Corollary is an inference made immediately from a propo ... given . The Length only of a line is meant , when the line is said to be ... point of a figure : with a change of position in the figure , each angle may ...
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... a triangle to be a figure bounded by three sides ; and if , of any figure placed before ... point of the reasoning ; -and though , for the demonstration of the ... given ; for what has once been established , may afterwards be taken for ...
... a triangle to be a figure bounded by three sides ; and if , of any figure placed before ... point of the reasoning ; -and though , for the demonstration of the ... given ; for what has once been established , may afterwards be taken for ...
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... given assertion is impossible ; as in the 14th Prop . , bk . i . , where it ... point , the result is certainly false . " " The same thing holds good in ... A porter , for example , who being directed to carry a parcel from the City to a ...
... given assertion is impossible ; as in the 14th Prop . , bk . i . , where it ... point , the result is certainly false . " " The same thing holds good in ... A porter , for example , who being directed to carry a parcel from the City to a ...
Página 20
... given by numbers , it is of great importance in reasonings strictly ... point , considered theoretically or mathematically , marks position and not ... point and a line considered practically , and as they were considered before Geometry ...
... given by numbers , it is of great importance in reasonings strictly ... point , considered theoretically or mathematically , marks position and not ... point and a line considered practically , and as they were considered before Geometry ...
Otras ediciones - Ver todas
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... Euclides Vista completa - 1870 |
Gradations in Euclid: Books I. and II., with an Explanatory Preface [&C.] by ... Euclides Sin vista previa disponible - 2016 |
Términos y frases comunes
AB² ABCD AC² adjacent angles Algebra altitude angle equal angular point Arith Arithmetic ascertain Axiom bisect centre circle circumference Concl CONS construct DEANSGATE DEMONSTRATION.-P describe diagonal diameter distance drawn equal bases equilateral Euclid Euclid's Elements extremity Geometry given line given point given rectilineal given st greater hypotenuse inch interior angles intersect isosceles triangle JOHN HEYWOOD join LADC length less line be divided lines AC magnitude measure monad opposite angles opposite sides parallel parallelogram perpendicular plane Plane Geometry polygon premiss PROB produced Prop proposition Quæs radius Recap rectangle rectangle contained rectilineal angle rectilineal figure regular polygon right angles SCHOLIUM.-1 segment sides equal straight line surface trapezium twice vertical angle Wherefore
Pasajes populares
Página 93 - 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...
Página 105 - 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 equal to two right angles.
Página 161 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Página 41 - A segment of a circle, is the figure contained by a straight line and the circumference which it cuts off.
Página 93 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Página 100 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Página 180 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 18 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 142 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Página 44 - LET it be granted that a straight line may be drawn from any one point to any other point.