Gradations in Euclid : books i. and ii., with an explanatory preface [&c.] by H. Green1858 |
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Side 11
... draw various lines which are not men- tioned in the hypothesis , the conclusion at which we arrive is altogether dependent on the hypothesis . The fourth kind of evidence is from proof already given ; for what has once been established ...
... draw various lines which are not men- tioned in the hypothesis , the conclusion at which we arrive is altogether dependent on the hypothesis . The fourth kind of evidence is from proof already given ; for what has once been established ...
Side 15
... draw H K parallel to BD and through A. M. 1 Def . 30. 1. Conterminous sides of C. 1 . D K a square are at rt . angles to one another ; EB and BA are conterminous sides of a square ; .. E B and B A are at rt . angles . DEM . 2 Sim . 1 II ...
... draw H K parallel to BD and through A. M. 1 Def . 30. 1. Conterminous sides of C. 1 . D K a square are at rt . angles to one another ; EB and BA are conterminous sides of a square ; .. E B and B A are at rt . angles . DEM . 2 Sim . 1 II ...
Side 28
... drawing a tangent to the diameter of a circle , and from the centre drawing a line until it shall cut the tangent , -this line cutting the tangent being named the secant ; as in the circle TAF , TS being the tan- gent , and OS the ...
... drawing a tangent to the diameter of a circle , and from the centre drawing a line until it shall cut the tangent , -this line cutting the tangent being named the secant ; as in the circle TAF , TS being the tan- gent , and OS the ...
Side 33
... drawn from any one point to another . DEMONSTRATION . - Def . 15 , and Ax . 1. - Def . 15. AO is a plane figure ... Draw AC and BC ; then △ ABC is the eq . lat . A required . A is centre of O BCD , : B " AC AB ; = 2 C.2 , Def.15 3 ...
... drawn from any one point to another . DEMONSTRATION . - Def . 15 , and Ax . 1. - Def . 15. AO is a plane figure ... Draw AC and BC ; then △ ABC is the eq . lat . A required . A is centre of O BCD , : B " AC AB ; = 2 C.2 , Def.15 3 ...
Side 37
... drawn ; for a visible point is , in fact , a surface . 2. A Line is length without breadth ; or it is extension in one direction . A mathematical line cannot be drawn ; for whatever is visible must have breadth . A line is measured by ...
... drawn ; for a visible point is , in fact , a surface . 2. A Line is length without breadth ; or it is extension in one direction . A mathematical line cannot be drawn ; for whatever is visible must have breadth . A line is measured by ...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... Euclides Uten tilgangsbegrensning - 1870 |
Gradations in Euclid: Books I. and II., with an Explanatory Preface [&C.] by ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 41 - A segment of a circle, is the figure contained by a straight line and the circumference which it cuts off.
Side 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.
Side 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...
Side 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.
Side 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.
Side 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.
Side 44 - LET it be granted that a straight line may be drawn from any one point to any other point.