Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids : to which are Added Elements of Plane and Spherical TrigonometryW.E. Dean, 1853 - 317 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 61
... chord or subtense of an arc is the straight line which joins its two ex- tremities . C. A straight line is said to be inscribed in a circle , when the extremities of it are in the circumference of the circle . And any straight line ...
... chord or subtense of an arc is the straight line which joins its two ex- tremities . C. A straight line is said to be inscribed in a circle , when the extremities of it are in the circumference of the circle . And any straight line ...
Σελίδα 62
... chords or arcs which their sides include . 8. The sector of a circle is the figure contained by two straight lines drawn from the centre , and the arc of the circumference between them . 9. Similar segments of a circle , are those in ...
... chords or arcs which their sides include . 8. The sector of a circle is the figure contained by two straight lines drawn from the centre , and the arc of the circumference between them . 9. Similar segments of a circle , are those in ...
Σελίδα 64
... chord , passes through the centre ; for this perpendicular is the same as the one let fall from the centre on the same chord , since both of them passes through the middle of the chord . COR . 2. It likewise follows , that the ...
... chord , passes through the centre ; for this perpendicular is the same as the one let fall from the centre on the same chord , since both of them passes through the middle of the chord . COR . 2. It likewise follows , that the ...
Σελίδα 71
... chord is , the farther it is from the centre ; and , conversely , the farther the chord is from the centre , the shorter it is . PROP . XVI . THEOR . The straight line drawn at right angles to the diameter of a circle , from the ...
... chord is , the farther it is from the centre ; and , conversely , the farther the chord is from the centre , the shorter it is . PROP . XVI . THEOR . The straight line drawn at right angles to the diameter of a circle , from the ...
Σελίδα 86
... chord is a diameter , is a semicircum- ference , and the included segment is a semicircle . PROP . B. THEOR . Through three given points which are not in the same straight line , one cir- cumference of a circle may be made to and but ...
... chord is a diameter , is a semicircum- ference , and the included segment is a semicircle . PROP . B. THEOR . Through three given points which are not in the same straight line , one cir- cumference of a circle may be made to and but ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore
Δημοφιλή αποσπάσματα
Σελίδα 51 - 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.
Σελίδα 74 - THE angles in the same segment of a circle are equal to one another...
Σελίδα 37 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 29 - Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.
Σελίδα 29 - 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 EAF the point A, parallel to the straight line '
Σελίδα 147 - If the vertical angle of a triangle be bisected by a straight line which also cute the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 19 - The angles which one straight line makes with another upon one side of i't, are either two right angles, or are together eqval to two right angles.
Σελίδα 134 - 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 294 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 13 - BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC.