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Bøker Bok 1120 av 77The angle formed by a tangent to a circle, and a chord drawn from the point of contact,...
" The angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment. "
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 312
av Charles Hutton - 1825
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The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - 1842 - 308 sider
...angle C. 50. If ABC or ADC be a semicircle, then any angle D in that semicircle, is a right angle. 51. If AB be a tangent, and AC a chord, and D any angle...in the alternate segment ADC ; then will the angle D be equal to the angle BAC made by the tangent and chord of the arc AEC. 53. If the side AB, of the...
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A system of practical mathematics; being no.xvi. of a new series of school-books

1845
...contact. PLANE GEOMETRY. PROPOSITION LV — THEOREM. The angle ABD, formed by a tangent AB, and a chord DB drawn from the point of contact, is equal to the angle in the alternate segment BED, and is measured by half the intercepted arc BD. For (figure last Prop.), let DE be || to AB, then...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 sider
...half the entire circumference, which is the measure of two right angles. PROPOSITION IX. THEOEEM. The angle formed by a tangent to a circle, and a chord...angle in the alternate segment. If AB be a tangent, AC a chord, and D any angle in the alternate segment ADC ; then will the angle D be equal to the angle...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 320 sider
...entire circumference, which is the measure of two right-angles. PROPOSITION VIII. If AB be a tangent, AC a chord, and D any angle in the alternate segment ADC; then will the angle D be equal to the angle B AC made by the tangent and the chord of the arc AFC. For the angle D at the...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...adjacent angles are equal, they are right angles. PROPOSITION XXXII. THEOREM. The angles contained by a tangent to a circle, and a chord drawn from the point of contact, are equal to the angles in the alternate segments of the circle. Given EF a tangent to the circle ABCD,...
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A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - 1860 - 895 sider
...(cor. 4, th, 6; or cor. 2, th. 48). Therefore iliu angle 1) is a right angle. 384 THEOREM LUI. The angle formed by a tangent to a circle, and a chord drawn fftm the pat of contact, is equal to the angle in the alternate segment. If AB be a ¿angent, and AC...
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The Modern Mechanic: A Scientific and Calculator, Comprising Rules and ...

William Grier - 1861 - 305 sider
...angle C. 50. If ABC or ADC be a semicircle, then any angle D in that semicircle, is a right angle. 51. If AB be a tangent, and AC a chord, and D any angle...in the alternate segment A.DC ; then will the angle D be equal to the angle BAG made by the tangent and chord of the arc AEG. 52. Let ABCD be any quadrilateral...
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minutes of the general coucil

w.j.golbourn - 1866
...possess ? HIGHER MATHEMATICS. 1. Inscribe a circle in a given sector of a circle. 2. The angles contained by a tangent to a circle, and a chord drawn from the point of contact, are equal to the angles in the alternate segments of the circle. 3. To describe a square that shall...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 283 sider
...angle (Cor. 4, th. 6 ; or Cor. 2, th. 8). Therefore the angle D is a right angle. THEOREM XIII. The angle formed by a tangent to a circle, and a chord...in the alternate segment ADC, then will the angle D be equal to the angle BAC made by the tangent and chord of the arc AEC. For the angle D, at the circumference,...
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Calendar for the Session: 1872-3

The Owens College - 1872
...the outer circle. 8. Define a tangent. Show that the angle contained between a tangent and the chord from the point of contact is equal to the angle in the alternate segment of the circle. 9. Divide a given straight line into two parts, so that the squai'cs on the whole line...
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