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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. "
Elementary Plane Geometry: Inductive and Deductive - Página 91
por Alfred Baker - 1903 - 144 páginas
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 264 páginas
...and from the point of contact a right •*• line be drawn to the circle, the angles that right line makes with the tangent are equal to the angles in the alternate feements of the circle. Let the right line EF touch the circle ABCD in the point B; from any point...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 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 - 513 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 - 513 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 ...

1835
...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 - 311 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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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...contact (A) a straight line (AB) is drawn, cutting the circle, the angles made by this cutting line with the tangent are equal to the angles in the alternate segments of the circle. From the point of contact A draw AC perpendicular to EF, and join CB; in the segment ADB remote from...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...point of contact a straight line is drawn, cutting the circle, the angles made by this cutting line with the tangent are equal to 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 - 136 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
...point of 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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