The Elements of geometry [Euclid book 1-3] in general terms, with notes &c. &c. Also a variety of problems & theorems. [Ed. by J. Luby. With] The elements of plane geometry, comprising the definitions of the fifth book, and the sixth book in general terms, with notes [&c.] by J. Luby [described as] Pt. 31821 |
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Side 4
... vertex of one may coincide with that of the other , and a side of one coincide with a side equal to it of the other , and the other two sides lie towards the same part . Then since the angles at the vertices are and the vertices ...
... vertex of one may coincide with that of the other , and a side of one coincide with a side equal to it of the other , and the other two sides lie towards the same part . Then since the angles at the vertices are and the vertices ...
Side 5
... vertex ; and from these assumed points draw transverse lines to the opposite extremities of the base ; then there are two triangles formed , having a side of isosceles triangle and cut off seg . in one , respectively = to a side of ...
... vertex ; and from these assumed points draw transverse lines to the opposite extremities of the base ; then there are two triangles formed , having a side of isosceles triangle and cut off seg . in one , respectively = to a side of ...
Side 6
... vertex of one triangle be supposed to fall within the other , connect their vertices and produce either pair of = legs . Then , the angles below the base of one isosceles triangle are = ( by the 5th ; ) and of the angles above the base ...
... vertex of one triangle be supposed to fall within the other , connect their vertices and produce either pair of = legs . Then , the angles below the base of one isosceles triangle are = ( by the 5th ; ) and of the angles above the base ...
Side 7
... vertex , connect their extremities and on the side of the connecting line remote from the given angle , describe an equilateral triangle , the right line joining its vertex with that of the given angle bisects said angle . For thus ...
... vertex , connect their extremities and on the side of the connecting line remote from the given angle , describe an equilateral triangle , the right line joining its vertex with that of the given angle bisects said angle . For thus ...
Side 8
... vertex draw a perpendicular ( per 11. ) it is evident that the an- gles thus formed are to the given angles : there- fore , & c . Cor . 1. If several right lines stand on the same right line at the same point , they make angles , which ...
... vertex draw a perpendicular ( per 11. ) it is evident that the an- gles thus formed are to the given angles : there- fore , & c . Cor . 1. If several right lines stand on the same right line at the same point , they make angles , which ...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... Euclides Uten tilgangsbegrensning - 1833 |
Vanlige uttrykk og setninger
adjacent ANALYSIS angle ABC angle contained arches bisecting line chord circumference connecting line conterminous dedu describe a circle diagonal diameter directum divided draw a right drawn line equiangular equilateral triangle evident external angle extremity given angle given circle given in position given line given point given ratio given right line given side gonal half the given hypothenuse inscribed intercept intersect isosceles triangle less lesser let fall line bisecting lines be drawn magnitude mean proportional meet middle point opposite angle opposite side parallelogram pass pendicular perpen perpendicular point of bisection point of contact point of section polygons PORISMS PROB PROP radii radius rect rectangle required triangle right angled triangle right line drawn segts semicircle semiperimeter side subtending square Suppose tangent THEOR triangle ABC vertex vertical angle whole line
Populære avsnitt
Side 128 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Side 26 - IF three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.
Side 111 - In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the...
Side 4 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.
Side 98 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 2 - Convertendo ; when it is .concluded, that if there be four magnitudes proportional, the first is to the sum or difference of the first and second, as the third is to the sum or difference of the third and fourth.
Side 20 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Side 116 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Side 156 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.
Side 28 - Similar triangles are to one another in the duplicate ratio of their homologous sides.