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 Books Books 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 - Page 294
by Charles Hutton - 1812 ## The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - Mechanical engineering - 1842 - 320 pages
...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.... ## A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 434 pages
...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... ## Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...by 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... ## A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 494 pages
...circumference, if both stand on the same base. 11. Any angle in a semicircle is a right angle. 12. The angle formed by a tangent to a circle, and a chord...contact, is equal to the angle in the alternate segment. 13. The sum of any two opposite angles of a quadrangle, inscribed in a circle, is equal to two right... ## 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,... ## A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - Mathematics - 1860 - 1022 pages
...angle (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... ## The Modern Mechanic: A Scientific and Calculator, Comprising Rules and ...

William Grier - Mechanical engineering - 1861 - 316 pages
...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.... ## Minutes of the General Council of Medical Education & Registration ..., Volume 4

General Medical Council (Great Britain) - 1866 - 496 pages
...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... ## Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...of a right angle (Cor. 4, th. 6 ; or Cor. 2, th. 8). Therefore the angle D is a right angle. THEOREM The angle formed by a tangent to a circle, and a chord...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. For the... 