Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1855 - 317 sider |
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Side 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 ...
Side 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 ...
Side 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 ...
Side 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 ...
Side 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 pass , and ...
... 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 pass , and ...
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Elements of Geometry; Containing the First Six Books of Euclid ... Euclid,John Playfair Uten tilgangsbegrensning - 1814 |
Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1866 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference coincide cosine cylinder definition demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB produced PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore
Populære avsnitt
Side 3 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 122 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 74 - The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 44 - 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.
Side 5 - Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at any distance from that centre.
Side 290 - 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.
Side 277 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 143 - ... cuts 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.
Side 7 - If two triangles have two sides of the one equal to two sides of the...
Side 26 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight lines AC, BD ; AC, BD are also equal and parallel.