The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 73
... tangent to , or touch , a circle when it has but one point in com- mon with the circumference ; as AB . In such a case , the circle is said to be tangent to the straight line . The common point is called the point of contact , or point ...
... tangent to , or touch , a circle when it has but one point in com- mon with the circumference ; as AB . In such a case , the circle is said to be tangent to the straight line . The common point is called the point of contact , or point ...
Σελίδα 74
... tangent to the same straight line at the same point . They are said to be tangent internally or externally accord- ing as one circle lies entirely within or entirely without the other . A common tangent to two circles is a straight line ...
... tangent to the same straight line at the same point . They are said to be tangent internally or externally accord- ing as one circle lies entirely within or entirely without the other . A common tangent to two circles is a straight line ...
Σελίδα 83
... tangent to the circle . E A D B Given line ABL to radius OC of O EC at C. To Prove AB tangent to the O. Proof . Let D be any point of AB except C , and draw line OD . .. OD > OC . Therefore , point D lies without the O. ( ? ) Then ...
... tangent to the circle . E A D B Given line ABL to radius OC of O EC at C. To Prove AB tangent to the O. Proof . Let D be any point of AB except C , and draw line OD . .. OD > OC . Therefore , point D lies without the O. ( ? ) Then ...
Σελίδα 84
... tangent and the other a secant . A- E D F -B Given AB a tangent to O CED at E , and CD a secant || AB , intersecting the circumference at C and D. To Prove arc CE = arc DE . Proof . Draw diameter EF . .. EF LAB . .. EFL CD . ( § 170 ) ...
... tangent and the other a secant . A- E D F -B Given AB a tangent to O CED at E , and CD a secant || AB , intersecting the circumference at C and D. To Prove arc CE = arc DE . Proof . Draw diameter EF . .. EF LAB . .. EFL CD . ( § 170 ) ...
Σελίδα 85
... tangents . A- G E -B H C- F -D Given , in EGF , AB and CD || tangents , touching the O at E and F , respectively . To Prove arc EGF = arc EHF . ( Draw secant GH || AB . ) 173. Cor . The straight line joining the points of contact of two ...
... tangents . A- G E -B H C- F -D Given , in EGF , AB and CD || tangents , touching the O at E and F , respectively . To Prove arc EGF = arc EHF . ( Draw secant GH || AB . ) 173. Cor . The straight line joining the points of contact of two ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line equal respectively equally distant equilateral equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism Prove pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 58 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 322 - A right circular cylinder may be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 202 - The circumferences of two circles are to each other as their radii. Given C and C" the circumferences of two © whose radii are R and R', respectively.