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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 - Σελίδα 65
των Royal Military Academy, Woolwich - 1853
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...ADC is greater than a right angle. LXVII.— EUCLID III. 32. If a straight line touch a circle and from the point of contact a straight line be drawn...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 line EF (Pig. 54)...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

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...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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...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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...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...

Examination papers used at the examinations for direct commissions [&c.].

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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 422 σελίδες
...segment less than a semicircle is greater than a right angle. 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...

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Sandhurst roy. military coll - 1859 - 672 σελίδες
...the triangle between the perpendicular and the obtuse angle. 4. 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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 σελίδες
...6 pence. Find the price of tea and sugar per lb. Euclid. 1 . 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. 2. On a given straight line to describe a segment of a circle containing an angle equal to a given...

Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 σελίδες
...as AF, the ¿_ FAB is > a rt. ¿. VB Pnоr. 32. — THEOK. 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 icith the line touching the circle, shall be equal to the angles which are in...

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...they are right angles, (i. def. 10.) PROP. XXXII. — THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; then the angles made by this line with the line touching the circle shall be equal to the angles...




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