Books Books 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... Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 69
by Euclid - 1845 - 199 pages ## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...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 of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, are equal to the... ## National Society's Monthly Paper

1856 - 376 pages
...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... ## Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - Education, Primary - 1856 - 198 pages
...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... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...points than one, whether it touches it on the inside or the outside. 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... ## The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...than 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 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... ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...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 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... ## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...the straight line intercepted without 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... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a ttraight line be drawn at right angles to the touching line, the center of the circle shall be in that... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...perpendicular to it besides FC ; that is, FC is perpendicular to DE. GE If a straight line be a tangent to a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle shall be in that line. Given that the straight... 