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If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ... - Página 83
por Euclides - 1840
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## Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 522 páginas
...line be drawn to cut the circumference, the angles which it makes with the tangent are equal to those in the alternate segments of the circle. from the point of contact cutting the circle into two segments BAE and BFE; the angle EBD is equal to EAB, and the angle EBC...
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## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 páginas
...extremity of a chord there be drawn a straight line, such that the angles which it makes with the chord are equal to the angles in the alternate segments of the circle, that straight line must touch the circle. Scholium. The theorem which has been just demonstrated, states...
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## The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 páginas
...straight line BD be drawn, cutting the circle : The angles which BD makes with the touching line EF are equal to the angles in the alternate segments of the circle ; that is, the angle FBD is equal to the angle which is in the segment DAB, and the angle DBE to the...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...line is drawn cutting the circle, the angles made by this line with tJie line touching the circle, are equal to the angles in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in B, and from the point B let the straight line BD...
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## Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 páginas
...extremity of a chord there be drawn a straight line, such that the angles which it makes with the chord are equal to the angles in the alternate segments of the circle, that straight line must touch the circle. Scholium. The theorem which has been just demonstrated, states...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 páginas
...straight line BD be drawn cutting the circle : The angles which BD makes with the touching line EF are equal to the angles in the alternate segments of the circle : that is, the angle FBD is equal to the angle which is in the segment DAB, and the angle DBE to the...
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## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 páginas
...PROP. XXXII. THEOR. If a straight line touches a circle, and from the point of contact a straight line is drawn, cutting the circle, the angles made by this...the angles in the alternate segments of the circle. PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle containing an angle...
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## The Elements of Euclid: With Many Additional Propositions ..., Parte1

Euclid - 1853 - 176 páginas
...former angle is doable ' the latter. The angles formed by this line and the line touching the circle are equal to the angles in the alternate segments of the circle. III. 23. . Q. On Segments and their Chords. HYPOTHESES. CONSEQUENCES. If two segments of circles are...
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## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 páginas
...contact a straight line bе drawn cutting the circle • the. angles which this straight line makes with the tangent are equal to the angles in the alternate segments of the circle. Let th2 straight line EF touch the circle AB СD at the point B ; and from the point B, let the straight...
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## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 páginas
...straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, are equal to the angles in the alternate segments of the circle. Let the straight line EF (Pig. 54) touch the circle ABCD in the point B and let BD be a line dividing...
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