A School Geometry, Teile 1-4Macmillan and Company, 1908 |
Im Buch
Ergebnisse 1-5 von 18
Seite xvi
... point of contact . 174 COR . 1. One and only one tangent can be drawn to a circle at a given point on the circumference . 174 COR . 2. The perpendicular to a tangent at its point of contact passes through the centre . 174 COR . 3. The ...
... point of contact . 174 COR . 1. One and only one tangent can be drawn to a circle at a given point on the circumference . 174 COR . 2. The perpendicular to a tangent at its point of contact passes through the centre . 174 COR . 3. The ...
Seite xvii
... point of contact to draw a chord making with the tangent an angle equal to the given angle . Circles in Relation to Rectilineal Figures . DEFINITIONS PROBLEM 25. To circumscribe a circle about a given triangle . PROBLEM 26. To inscribe ...
... point of contact to draw a chord making with the tangent an angle equal to the given angle . Circles in Relation to Rectilineal Figures . DEFINITIONS PROBLEM 25. To circumscribe a circle about a given triangle . PROBLEM 26. To inscribe ...
Seite 172
... points become one , the secant becomes a tangent to the circle , and is said to touch it at the point at which the two intersections coincide . This point is called the point of contact . For instance : ( i ) Let a secant cut the circle at ...
... points become one , the secant becomes a tangent to the circle , and is said to touch it at the point at which the two intersections coincide . This point is called the point of contact . For instance : ( i ) Let a secant cut the circle at ...
Seite 173
... point P , which remains fixed , in such a way that Q continually approaches ... contact at which the two points of section coincide . Hence circles are said ... contact : when one of the circles is within the other , as in Fig . 3 , the ...
... point P , which remains fixed , in such a way that Q continually approaches ... contact at which the two points of section coincide . Hence circles are said ... contact : when one of the circles is within the other , as in Fig . 3 , the ...
Seite 174
... point of contact . Let PT be a tangent at the point P to a circle whose centre is O. It is required to prove that PT is perpendicular to the radius OP . Proof . Take any point Q in PT , and join OQ . Then since PT is a tangent , every ...
... point of contact . Let PT be a tangent at the point P to a circle whose centre is O. It is required to prove that PT is perpendicular to the radius OP . Proof . Take any point Q in PT , and join OQ . Then since PT is a tangent , every ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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 COROLLARY 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 perpendicular 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.