Geometrical Problems Deducible from the First Six Books of Euclid: Arranged and Solved: to which is Added an Appendix Containing the Elements of Plane Trigonometry ...J. Smith, 1827 - 377 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα v
... circumference . COR . 2. The two straight lines in a circle which join the extremities of two parallel chords are equal to each other . 2. If from a point without a circle two straight lines be drawn to the concave part of the circumference ...
... circumference . COR . 2. The two straight lines in a circle which join the extremities of two parallel chords are equal to each other . 2. If from a point without a circle two straight lines be drawn to the concave part of the circumference ...
Σελίδα vi
... circumference of a circle any number of chords be drawn ; the locus of their points of bisection will be a circle . 12. If on the radius of a given semicircle , another semicircle be described , and from the extremity of the diameters ...
... circumference of a circle any number of chords be drawn ; the locus of their points of bisection will be a circle . 12. If on the radius of a given semicircle , another semicircle be described , and from the extremity of the diameters ...
Σελίδα vii
... circumference of a given circle , to draw to a straight line given in position , a line which shall be equal and parallel to a given straight line . 23. The bases of two given circular segments being in the same straight line ; to ...
... circumference of a given circle , to draw to a straight line given in position , a line which shall be equal and parallel to a given straight line . 23. The bases of two given circular segments being in the same straight line ; to ...
Σελίδα viii
... circumference , will be cut proportionally by the circumference . 35. If two circles touch each other externally , and parallel diameters be drawn ; the straight line joining the extremities of these diameters will pass through the ...
... circumference , will be cut proportionally by the circumference . 35. If two circles touch each other externally , and parallel diameters be drawn ; the straight line joining the extremities of these diameters will pass through the ...
Σελίδα ix
... circumference ; it will be a mean proportional between the lines drawn from the point of intersection with the circumference to the extremities of the diameter . 44. If from the extremity of the diameter of a circle , two lines be drawn ...
... circumference ; it will be a mean proportional between the lines drawn from the point of intersection with the circumference to the extremities of the diameter . 44. If from the extremity of the diameter of a circle , two lines be drawn ...
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Άλλες εκδόσεις - Προβολή όλων
Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ... Miles Bland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Geometrical Problems Deducible From the First Six Books of Euclid: Arranged ... Miles Bland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ... Miles Bland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD angle ABC base bisect the angle centre chord circle ABC circles cut circumference describe a circle divided draw a line drawn parallel duplicate ratio equal angles equiangular Eucl extremities G draw given angle given circle given in position given line given point given ratio given square given straight line intercepted isosceles triangle Join AB Join AE Join BD Let AB Let ABC let fall line given line joining line required lines be drawn lines drawn mean proportional opposite sides parallel to AC parallelogram pendicular point of bisection point of contact point of intersection radius rectangle rectangle contained right angles right-angled triangle segments semicircle shewn tangent touching the circle trapezium triangle ABC whence
Δημοφιλή αποσπάσματα
Σελίδα 10 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Σελίδα xv - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square of the line which touches it.
Σελίδα xxx - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 303 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 140 - Iff 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...
Σελίδα 329 - CE is equal to the difference of the segments of the base made by the perpendicular.
Σελίδα 109 - If from a point, without a parallelogram, there be drawn two straight lines to the extremities of the two opposite sides, between which, when produced, the point does not lie, the difference of the triangles thus formed is equal to half the parallelogram. Ex. 2. The two triangles, formed by drawing straight lines from any point within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram.
Σελίδα 164 - PROPOSITION I. PROBLEM. — To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line; it is required to describe an equilateral triangle upon it.
Σελίδα 281 - Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle.
Σελίδα 270 - AB describe a segment of a circle containing an angle equal to the given angle, (in.