A School Geometry, Deler 1-4Macmillan and Company, 1908 |
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Side xvi
... touch one another , the centres and the point of contact are in one straight line . 178 COR . 1. If two circles touch externally the distance be- tween their centres is equal to the sum of their radii . 178 COR . 2. If two circles touch ...
... touch one another , the centres and the point of contact are in one straight line . 178 COR . 1. If two circles touch externally the distance be- tween their centres is equal to the sum of their radii . 178 COR . 2. If two circles touch ...
Side 172
... 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 the points P and Q , and suppose it to recede from the centre , moving ...
... 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 the points P and Q , and suppose it to recede from the centre , moving ...
Side 173
... touch one another at P. Since two circles cannot intersect in more than two points , two circles which touch one another cannot have more than one point in common , namely the point of contact at which the two points of section coincide ...
... touch one another at P. Since two circles cannot intersect in more than two points , two circles which touch one another cannot have more than one point in common , namely the point of contact at which the two points of section coincide ...
Side 177
... touch a concentric circle , and find its radius . 3. The diameters of two concentric circles are respectively 100 cm ... touch a given straight line at a given point . 12. Find the locus of the centres of all circles which touch each of ...
... touch a concentric circle , and find its radius . 3. The diameters of two concentric circles are respectively 100 cm ... touch a given straight line at a given point . 12. Find the locus of the centres of all circles which touch each of ...
Side 178
... touch at the point P. It is required to prove that O , P , and Q are in one straight line . Join OP , QP . Proof . Since the given circles touch at P , they have a common tangent at that point . Suppose PT to touch both circles at P ...
... touch at the point P. It is required to prove that O , P , and Q are in one straight line . Join OP , QP . Proof . Since the given circles touch at P , they have a common tangent at that point . Suppose PT to touch both circles at P ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 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.
Side 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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.
Side 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side 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.
Side 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.