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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 60.
Σελίδα 3
... describe two circles , ( per post . 3. ) ; from a point in which those circles intersect one another draw lines to the extremities of the given one ; those three lines form an equilateral triangle . For each of the drawn lines is equal ...
... describe two circles , ( per post . 3. ) ; from a point in which those circles intersect one another draw lines to the extremities of the given one ; those three lines form an equilateral triangle . For each of the drawn lines is equal ...
Σελίδα 4
... describe a circle whose circumference shall meet the leg of the equilateral triangle produced , through the connected point ; with the vertex of equilat . tri . as centre , and whole produced leg , as radius , describe another circle to ...
... describe a circle whose circumference shall meet the leg of the equilateral triangle produced , through the connected point ; with the vertex of equilat . tri . as centre , and whole produced leg , as radius , describe another circle to ...
Σελίδα 7
... describe an equilateral triangle , the right line joining its vertex with that of the given angle bisects said angle . For thus there are two triangles formed , having a com mon side , ( viz . line connecting vertices , ) and assumed ...
... describe an equilateral triangle , the right line joining its vertex with that of the given angle bisects said angle . For thus there are two triangles formed , having a com mon side , ( viz . line connecting vertices , ) and assumed ...
Σελίδα 8
... describe a circle , cutting the given line in two points , bisect the intercept and connect the given point with the extremities of it , and also with the point of bisection , this line drawn to the point of bisection is per- pendicular ...
... describe a circle , cutting the given line in two points , bisect the intercept and connect the given point with the extremities of it , and also with the point of bisection , this line drawn to the point of bisection is per- pendicular ...
Σελίδα 12
... describe two circles , and from either of their intersec- tions draw lines to the centres ( or the extremities of the first drawn line ) thus the triangle is formed . For those lines drawn from intersection are respect- ively to the two ...
... describe two circles , and from either of their intersec- tions draw lines to the centres ( or the extremities of the first drawn line ) thus the triangle is formed . For those lines drawn from intersection are respect- ively to the two ...
Άλλες εκδόσεις - Προβολή όλων
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.