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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Resultat 1-5 av 23
Side 13
... subtending the lesser angle ( by 4th . ) But it is less than the line subtending the greater angle , for if you join the extremities of it and the line subt nd- ing the greater angle , it shall be opposite a smaller angle , ( viz . to ...
... subtending the lesser angle ( by 4th . ) But it is less than the line subtending the greater angle , for if you join the extremities of it and the line subt nd- ing the greater angle , it shall be opposite a smaller angle , ( viz . to ...
Side 24
... sub- tending the right angle is equal to the sum of the squares of the sides which contain the right angle . Describe squares on the sides of the triangle , and from the right angle draw a right line dividing the 2 on the hypothenuse ...
... sub- tending the right angle is equal to the sum of the squares of the sides which contain the right angle . Describe squares on the sides of the triangle , and from the right angle draw a right line dividing the 2 on the hypothenuse ...
Side 56
... subtending the lesser angle . Fig . 8 . Bisect CA in D , join DB . Because BCA is double of BAC , BCA is an angle of 60 degrees , and because CBA is a right angled triangle , DB is to DC ( by prop . 8 dedu . ) .. DBC is an angle of 60 ...
... subtending the lesser angle . Fig . 8 . Bisect CA in D , join DB . Because BCA is double of BAC , BCA is an angle of 60 degrees , and because CBA is a right angled triangle , DB is to DC ( by prop . 8 dedu . ) .. DBC is an angle of 60 ...
Side 58
... subtending this angle . Fig . 15 . For in the triangle DCE , since the sides DE and EC are bisected in A and G , the lines CD and AC drawn to the opposite angles cut one another in a point of trisection ( prop . 24 of dedu . ) .. AP is ...
... subtending this angle . Fig . 15 . For in the triangle DCE , since the sides DE and EC are bisected in A and G , the lines CD and AC drawn to the opposite angles cut one another in a point of trisection ( prop . 24 of dedu . ) .. AP is ...
Side 69
... subtending the angle BOA and to the given side , and draw BC , making the angle OBC to the angle BAC ; .. BCA is the required triangle . = For , since BOA is a right angle , ABO and BAO are to a right angle , .. OBC and OBA are to a ...
... subtending the angle BOA and to the given side , and draw BC , making the angle OBC to the angle BAC ; .. BCA is the required triangle . = For , since BOA is a right angle , ABO and BAO are to a right angle , .. OBC and OBA are to a ...
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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.