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" If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle. "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Side 65
av Royal Military Academy, Woolwich - 1853
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...= rt. L • Wherefore the L, &c. PROP. LX. THEOR. 32. 3 EU. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle, shall be equal to the angles which are in...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...semi 0 = rt. Z. Wherefore the Z, &c. PROP. LX. THEOR. 32. 3Eu . If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle, shall be equal to the angles which are in...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...semicircle is greater than a right angle. PROP. XXXII. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn...which are in the alternate segments of the circle. PROP. XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 336 sider
...angles are equal, they are right angles. PROP. XXXII. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by thin line with the line which touches the circle, shall be equal to the angles in the alternate segments...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 sider
...equal they are right angles. PROPOSITION XXXII. — THEOREM. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting the circle, the angles moule bу this Une with the line touching the circle shall be equal to the angles which are in the...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853 - 334 sider
...is a right angle. Which was to be proved. PEOP. XXXII. THEOE. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle : then the angles which this line makes with the touching line shall be respectively equal to the angles...
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The Elements of Euclid: With Many Additional Propositions ..., Del 1

Euclid - 1853 - 176 sider
...circumference for its base as an angle at the circumference. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting the circle. They shall stand upon equal parts of the circumference, whether they be at the center or the circumfer...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 sider
...Arithmetic, Geometric, or Harmonic mean between a and b. 6. If a straight line touches a circle, and from the point of contact a straight line be drawn...which are in the alternate segments of the circle. 7. Describe a circle passing through a given point, such that the tangent drawn to it from another...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 sider
...equal, they are right anles. •T*"*'V i^ PROP. XXXII. THEOR. Jf a straight line touch a circle, and from the point of contact a straight line be drawn...the circle, the angles made by this line with the lute which touches the circle, shall be equal to the angles in the alternate «§•ments of the circle....
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 sider
...one, whether it touches it on the inside or the outside. 6. If a straight line touches a circle, and from the point of contact a straight line be drawn...touching the circle, shall be equal to the angles in the alternate segments of the circle. If two circles hare a common tangent and equilateral triangles...
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