 | Charles Hutton - Mathematics - 1831 - 632 pages
...angle (cor. 4, th. 6 ; or cor. 2, th. 48). Therefore the angle D is a right angle. В THEOREM L1II. THE angle formed by a tangent to a circle, and a chord...ADC ; then will the angle D be equal to the angle BAC made by the tangent and chord of the arc AEC. For the angle D, at the circumference, is measured... | |
 | William Grier - Mechanical engineering - 1832 - 366 pages
...or ADC be a semicircle ; then any angle D in that semicircle, is a right angle. — (Fig. 45.) 51. If AB be a tangent, and AC a chord, and D any angle...ADC ; then will the angle D be equal to the angle BAC made by the tangent and chord of the arc AEC — (Fig. 46.) then shall the sum of the two opposite... | |
 | William Grier - Mechanical engineering - 1836 - 384 pages
...angle C. 50. If ABC or ADC be a semicircle ; then any angle D in that semicircle, is a right angle. 51. If AB be a tangent, and AC a chord, and D any angle...ADC ; then will the angle D be equal to the angle BAC made by the tangent and chord of the arc AEC. 52. Let ABCD be any quadrilateral inscribed in a... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...adjacent angles are equal, they are right angles. PROPOSITION XXXII. THKOREM. The angles contained by a tangent to a circle, and a chord drawn from the point of contact, are equal to the angles in the alternate segments of the circleLet EF be a tangent to the circle ABCD,... | |
 | William Grier - Mechanical engineering - 1839 - 324 pages
...G. 50. If ABC or ADC be a semicircle, _ then- any angle D in that semicircle, is a right angle. 51. If AB be a tangent, and AC a chord, and D any angle...angle BAG made by the tangent and chord of the arc AEG. 52. Let ABCD be any quadrilateral inscribed in a circle ; then shall the sum of the two opposite... | |
 | William Grier - Mechanical engineering - 1842 - 320 pages
...angle C. 50. If ABC or ADC be a semicircle, then any angle D in that semicircle, is a right angle. 51. If AB be a tangent, and AC a chord, and D any angle...ADC ; then will the angle D be equal to the angle BAC made by the tangent and chord of the arc AEC. 53. If the side AB, of the quadrilateral ABCD, inscribed... | |
 | Scottish school-book assoc - 1845 - 444 pages
...contact. PLANE GEOMETRY. PROPOSITION LV — THEOREM. The angle ABD, formed by a tangent AB, and a chord DB drawn from the point of contact, is equal to the angle in the alternate segment BED, and is measured by half the intercepted arc BD. For (figure last Prop.), let DE be || to AB, then... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...by half the entire circumference, which is the measure of two right angles. PROPOSITION IX. THEOEEM. The angle formed by a tangent to a circle, and a chord...angle in the alternate segment. If AB be a tangent, AC a chord, and D any angle in the alternate segment ADC ; then will the angle D be equal to the angle... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...entire circumference, which is the measure of two right-angles. PROPOSITION VIII. If AB be a tangent, AC a chord, and D any angle in the alternate segment ADC; then will the angle D be equal to the angle B AC made by the tangent and the chord of the arc AFC. For the angle D at the circumference is measured... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...circumference, if both stand on the same base. 11. Any angle in a semicircle is a right angle. 12. The angle formed by a tangent to a circle, and a chord...contact, is equal to the angle in the alternate segment. 13. The sum of any two opposite angles of a quadrangle, inscribed in a circle, is equal to two right... | |
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THE angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment. 
