Elements of geometry, containing the first two (third and fourth) books of Euclid, with exercises and notes, by J.H. Smith, Μέρος 11871 |
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Αποτελέσματα 1 - 5 από τα 17.
Σελίδα 5
... half the diameter . XVI . A SEMICIRCLE is the figure contained by a diameter and the part of the circumference cut off by the diameter . XVII . RECTILINEAR figures are those which are con- tained by straight lines . The PERIMETER ( or ...
... half the diameter . XVI . A SEMICIRCLE is the figure contained by a diameter and the part of the circumference cut off by the diameter . XVII . RECTILINEAR figures are those which are con- tained by straight lines . The PERIMETER ( or ...
Σελίδα 33
... half the perimeter of the quadrilateral . Ex . 4. If one side of a triangle be bisected , the sum of the two other sides shall be more than double of the line joining the vertex and the point of bisection . S. E. 3 PROPOSITION XXI ...
... half the perimeter of the quadrilateral . Ex . 4. If one side of a triangle be bisected , the sum of the two other sides shall be more than double of the line joining the vertex and the point of bisection . S. E. 3 PROPOSITION XXI ...
Σελίδα 35
... half the perimeter . PROPOSITION XXII . PROBLEM . To make a triangle , of which the sides shall be equal to three given straight lines , any two of which are greater than the third . -A -B K D G H E Let A , B , C be the three given ...
... half the perimeter . PROPOSITION XXII . PROBLEM . To make a triangle , of which the sides shall be equal to three given straight lines , any two of which are greater than the third . -A -B K D G H E Let A , B , C be the three given ...
Σελίδα 56
... half the difference between the angles at B and C. 6. If the straight line AD bisect the angle at A of the triangle ABC , and BDE be drawn perpendicular to AD , and meeting AC , or AC produced , in E ; shew that BD is equal to DE . 7 ...
... half the difference between the angles at B and C. 6. If the straight line AD bisect the angle at A of the triangle ABC , and BDE be drawn perpendicular to AD , and meeting AC , or AC produced , in E ; shew that BD is equal to DE . 7 ...
Σελίδα 59
... half a right angle . 4. If two straight lines bisect each other , the lines joining their extremities will form a parallelogram . 5. Straight lines bisecting two adjacent angles of a paral- lelogram intersect at right angles . 6. If the ...
... half a right angle . 4. If two straight lines bisect each other , the lines joining their extremities will form a parallelogram . 5. Straight lines bisecting two adjacent angles of a paral- lelogram intersect at right angles . 6. If the ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Containing the First Two (Third and Fourth) Books of ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry, Containing the First Two (Third and Fourth) Books of ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Elements of Geometry, Containing the First Two (Third and Fourth) Books of ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB=DE ABCD AC=DF adjacent angles angle contained angles equal angular points base BC centre coincide describe the sq diagonal draw a straight equal angles equal bases equilat equilateral triangle Euclid Geometry given angle given point given st given straight line half a rt hypotenuse interior angles intersect isosceles triangle LABC LADC LAGH Let ABC Let the st lines be drawn magnitude measure meet middle points opposite angles opposite sides parallel straight lines parallelogram perpendicular polygon Postulate PROBLEM produced proved Q. E. D. Ex quadrilateral rectangle contained reqd rhombus right angles Shew shewn sides equal straight line joining straight lines drawn sum of sqq Take any pt THEOREM together=two rt trapezium triangle ABC triangles are equal twice rect twice sq vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 52 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 69 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Σελίδα 83 - If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Σελίδα 17 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 48 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Σελίδα 26 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 86 - If 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 part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 90 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Σελίδα 106 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Σελίδα 82 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.