A School Geometry, Deler 1-4Macmillan and Company, 1908 |
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Resultat 1-5 av 33
Side xvi
... tangent passes through the point of contact . 174 THEOREM 47. Two tangents can be drawn to a circle from an external point . 176 COR . The two tangents to a circle from an external point are equal , and subtend equal angles at the ...
... tangent passes through the point of contact . 174 THEOREM 47. Two tangents can be drawn to a circle from an external point . 176 COR . The two tangents to a circle from an external point are equal , and subtend equal angles at the ...
Side xvii
... tangent to the circle , and from the 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 ...
... tangent to the circle , and from the 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 ...
Side xviii
... contained by their segments are equal . And each rectangle is equal to the square on the tangent from the point of intersection . 220 221 222 223 224 225 226 227 229 232 233 THEOREM 59. [ Euc . III . 37. ] If xviii CONTENTS .
... contained by their segments are equal . And each rectangle is equal to the square on the tangent from the point of intersection . 220 221 222 223 224 225 226 227 229 232 233 THEOREM 59. [ Euc . III . 37. ] If xviii CONTENTS .
Side xix
... tangent to it . Problems . PROBLEM 32. To draw a square equal in area to a given rectangle . PAGE 234 238 PROBLEM 33. To divide a given straight line so that the rectangle contained by the whole and one part may be equal to the square ...
... tangent to it . Problems . PROBLEM 32. To draw a square equal in area to a given rectangle . PAGE 234 238 PROBLEM 33. To divide a given straight line so that the rectangle contained by the whole and one part may be equal to the square ...
Side 172
... 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 the points P and Q , and suppose it ...
... 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 the points P and Q , and suppose it ...
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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.