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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Αποτελέσματα 1 - 5 από τα 22.
Σελίδα 81
... magnitude , not greater than the diameter of the square . Fig . 11 . Draw from any angle BDE of the given DK paral- lel to LG , make DO to FL , through O draw OQ pa- rallel to DE and through Q draw QP parallel to KD : it is to FL and ...
... magnitude , not greater than the diameter of the square . Fig . 11 . Draw from any angle BDE of the given DK paral- lel to LG , make DO to FL , through O draw OQ pa- rallel to DE and through Q draw QP parallel to KD : it is to FL and ...
Σελίδα 1
... magnitude is said to be a multiple of a less , when the less measures it . 3. Ratio is the mutual relation of two magnitudes of the same kind , with respect to quantity . Note . It is necessary that the magnitudes should be of the same ...
... magnitude is said to be a multiple of a less , when the less measures it . 3. Ratio is the mutual relation of two magnitudes of the same kind , with respect to quantity . Note . It is necessary that the magnitudes should be of the same ...
Σελίδα 2
... magnitudes are such as have some one magnitude that measures them both , this is called their common measure ; thus 12 and 16 have for their common measure 4 , & c . + Incommensurable magnitudes are such as have no common measure . inch ...
... magnitudes are such as have some one magnitude that measures them both , this is called their common measure ; thus 12 and 16 have for their common measure 4 , & c . + Incommensurable magnitudes are such as have no common measure . inch ...
Σελίδα 3
... magnitudes have not a de- termined ratio to one another , yet they have a certain ratio , and two other magnitudes might have just the same ratio . The fifth definition , when applied to magnitudes even of this kind is adequate , for it ...
... magnitudes have not a de- termined ratio to one another , yet they have a certain ratio , and two other magnitudes might have just the same ratio . The fifth definition , when applied to magnitudes even of this kind is adequate , for it ...
Σελίδα 4
... magnitudes are proportional ( A : B :: B : C ) then the first is said to have to the third ( A : C ) a du- plicate ratio of that which it has to the second , ( i . e . of A : B ) . 11. When there are four magnitudes in continued propor ...
... magnitudes are proportional ( A : B :: B : C ) then the first is said to have to the third ( A : C ) a du- plicate ratio of that which it has to the second , ( i . e . of A : B ) . 11. When there are four magnitudes in continued propor ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 128 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Σελίδα 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.
Σελίδα 111 - In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 20 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Σελίδα 116 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Σελίδα 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.
Σελίδα 28 - Similar triangles are to one another in the duplicate ratio of their homologous sides.