| Euclides - 1874 - 342 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it; if **the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle,** be equal to the square on the line which, meets it, the line which meets, shall touch the circle. Let... | |
| Edward Atkins - 1874 - 426 pages
...AD-DC + EB» = BD2+EB«. •. AD -DC DrawEP perpendicular to AC. Proposition 36. — Theorem. If from a **point without a circle two straight lines be drawn, one of which cuts the circle, and the** oiher touches it; the rectangle contained by the whole line which cuts the circle, and the part of... | |
| Edward Atkins - 1874 - 428 pages
...pcrpendi>-uliir lu AC. Proposition 36.— Theorem. If from a paint without a circle two straight Una **be drawn, one of which cuts the circle, and the other touches it; the** rentangle contained by the whole line which cuts the circle, and tht part of it without the circle,... | |
| Horatio Nelson Robinson - 1875 - 288 pages
...Whence, CP'=^cT, or, tfP= the value of the line sought. M1SCELLANEOUS PROPOS1TIONS. (Page 238.) (3.) **If from any point without a circle, two straight lines be drawn** to the concave part of the circumference, making equal angles with the lines joining the same point... | |
| Euclides, James Hamblin SMITH - 1876 - 382 pages
...their four extremities shall all lie in the circumference of a circle. PROPOSITION XXXVI. THEOREM. **If, from any point without a circle, two straight...the circle, and the part of it without the circle,** must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...'u the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a cirele, **two straight lines be drawn, one of which cuts the...the circle, and the part of it without the circle,** must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and... | |
| Robert Potts - Geometry - 1876 - 446 pages
...point 1), such that AC. CD=AD.DB, then AD is divided in C in the manner required by the proposition. 6. **If from any point without a circle two straight lines...touches it, the rectangle contained by the whole line** that cuts the circle and the part of it without the circle shall be equal to the square on the line... | |
| Edward Atkins - 1876 - 130 pages
...licrpcndicutar to AC. Proposition 36. — Theorem. If from a point without a circle two straight lines ba **drawn, one of which cuts the circle, and the other...contained by the whole line which cuts the circle, and** l!ta part of it without the circle, shall ba equal to the square on ths line which touches it. Let... | |
| University of Madras - 1876 - 580 pages
...piisses through C and touches the circle AB in B, lies on the circumference of the circle AB. VIII. **If from any point without a circle two straight lines be drawn, one of which cuts the circle** but does not pass through the centre, and the other touches it ; prove that the rectangle contained... | |
| Education Department,London - 1876 - 1010 pages
...circle shall be equal to the angles which are in the alternate segments of the circle. SECTION IV. 1. **If from any point without a circle two straight lines be drawn, one of which** not passing through the centre cuts the circle and the other touches it, the rectangle contained by... | |
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