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 Books Bücher 41 - 50 von 195 in IF a straight line touch a circle, and from the point of contact a straight line...
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.
Military examinations. Mathematical examination papers, set for entrance to ... - Seite 99
von Woolwich roy. military acad, Walter Ferrier Austin - 1880
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...that is, FC is perpendicular to DE. Therefore, if a straight line, etc. QED PROPOSITION XIX. THEOR. 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. Let the straight...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...FC; that is 5. FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROP. XIX. THEOREM. 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. Let the straight...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose

Euclides - 1853
...touching lines are right angles, and therefore equal : which is impossible (Az. 9). PBOP. XIX. THEOE. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to it : then the centre of the circle shall be in that line. Let DE touch the circle...
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The Elements of Euclid: With Many Additional Propositions ..., Teil 1

Euclid - 1853 - 136 Seiten
...part ff the 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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 Seiten
...e. Therefore, if a straight line, &c. QED PROPOSITION XIX. — THEOREM. If a straight line touches 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. LET the straight...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...here only to avoid interruption in the numbering of the propositions. PROPOSITION XIX.— THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draw» at right angles to the touching line, the centre of the circle shall be in that. lim. PROPOSITION...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 Seiten
...; and when the adjacent angles are equal, they are right anles. •T*"*'V i^ PROP. XXXII. THEOR. Jf a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles made by this line with the lute which touches the circle, shall be equal to the angles in the alternate...
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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 line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...extremities, 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
...is 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...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...
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