A School Geometry, Teile 1-4Macmillan and Company, 1908 |
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Ergebnisse 1-5 von 37
Seite xiii
... fixed points A and B are always equal to one another . PROBLEM 15. To find the locus of a point P which moves so that its perpendicular distances from two given straight lines AB , CD are equal to one another . INTERSECTION OF LOCI THE ...
... fixed points A and B are always equal to one another . PROBLEM 15. To find the locus of a point P which moves so that its perpendicular distances from two given straight lines AB , CD are equal to one another . INTERSECTION OF LOCI THE ...
Seite 3
... fixed , and that OB turns about the point ( as shewn by the arrow ) . Suppose also that OB began its turning from the position OA . Then the size of the angle AOB is measured by the amount of turning required to bring the revolving arm ...
... fixed , and that OB turns about the point ( as shewn by the arrow ) . Suppose also that OB began its turning from the position OA . Then the size of the angle AOB is measured by the amount of turning required to bring the revolving arm ...
Seite 5
... fixed point O is always the same . P The fixed point is called the centre , and the bounding line is called the circumference . 14. A radius of a circle is a straight line drawn from the centre to the circumference . It follows that all ...
... fixed point O is always the same . P The fixed point is called the centre , and the bounding line is called the circumference . 14. A radius of a circle is a straight line drawn from the centre to the circumference . It follows that all ...
Seite 39
... fixed straight line , Q a fixed point , CD a straight line turning about Q , and YQPX any transversal through Q. Then as CD rotates , there must be one position in which the LCQX the fixed LAPX . = Hence through any given point we may ...
... fixed straight line , Q a fixed point , CD a straight line turning about Q , and YQPX any transversal through Q. Then as CD rotates , there must be one position in which the LCQX the fixed LAPX . = Hence through any given point we may ...
Seite 55
... fixed , and AP rotates about A , trace the changes in PB , as the angle A increases from 0 ° to 180 ° . Answer this question by drawing a series of figures , increasing A by increments of 30 ° . Measure PB in each case , and tabulate ...
... fixed , and AP rotates about A , trace the changes in PB , as the angle A increases from 0 ° to 180 ° . Answer this question by drawing a series of figures , increasing A by increments of 30 ° . Measure PB in each case , and tabulate ...
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Häufige Begriffe und Wortgruppen
AB² adjacent angles altitude angle equal base BC bisector bisects circle of radius circle whose centre circles which touch circum-circle circumference circumscribed coincide common tangents concyclic Construct a triangle diagonals diagram diameter distance divided draw a circle equal in area equidistant escribed circles Euclid exterior angles Find the area find the locus given angle given circle given point given straight line given triangle greater Hence hypotenuse inches inscribed isosceles triangle length Let ABC meet metres middle point millimetre nine-points circle opposite sides orthocentre par¹ parallelogram pedal triangle perp PROBLEM produced Proof radii rect rectangle rectangle contained rectilineal figure required to prove respectively rhombus right angles right-angled triangle segment shew shewn straight line drawn tangent Theor Theorem trapezium triangle ABC triangles are equal vertex vertical angle
Beliebte Passagen
Seite xi - IF two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Seite 44 - 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.
Seite 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Seite 12 - 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.
Seite 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 122 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Seite 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Seite x - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Seite 65 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.