 | 582 pàgines
...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. . «• SECTION III. 1. Inscribe a circle in a given triangle. 2. Describe a circle about a given square.... | |
 | Euclid, John Playfair - 1853 - 336 pàgines
...to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. If a straight line touch a circle, and from the point...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... | |
 | Euclides - 1853 - 334 pàgines
...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...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... | |
 | Euclides - 1853 - 146 pàgines
...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... | |
 | Euclid - 1853 - 176 pàgines
...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... | |
 | Euclides - 1853 - 176 pàgines
...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... | |
 | William Somerville Orr - 1854 - 534 pàgines
...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... | |
 | John Playfair - 1855 - 334 pàgines
...; 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...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.... | |
 | Robert Potts - 1855 - 1050 pàgines
...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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If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles... 
