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" IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pagina 79
door John Playfair - 1856 - 318 pagina’s
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...as c is the 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...circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...without producing it, by means of the first part of this proposition. PROP. XXXII. THE 0 В. E M. If a straight line touch a circle, and from the point of contact a straight line bе drawn cutting the circle • the. angles which this straight line makes with the tangent are equal...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...less than a right angle, wherefore ADC is greater than a right angle. LXVII.— EUCLID III. 32. If a straight line touch a circle and from the point...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...
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National Society's Monthly Paper

1856
...given point without the circumference, which shall touch a given circle. 9. If a straight line touches 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...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...line which joins their centres shall pass through the point of contact. 10. If a straight line touches 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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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 pagina’s
...given point without the circumference, w^ioh shall touch a given circle. <9. Jf a straight line touches 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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...sides of the triangle. 8. If two circles cut one another, they shall not have the same centre. 9. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. 10. In equal...
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National Society's Monthly Paper

1857
...the point of contact cutting the circle, the angles between the touching line and the cutting line shall be equal to the angles in the .alternate segments of the circle. SECT. 111. — 1. Inscribe a circle in a given triangle. 2. Describe a circle about a given square....
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 pagina’s
...a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. If a straight line touch a circle, and from the point...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...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pagina’s
...the provisions were then exhausted in 5 days ; find the number of men in the garrison at first. 6. If a straight line touch a circle and from the point...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...
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