 | Braithwaite Arnett - 1873 - Liczba stron: 120
...The following results are frequently required in the investigation of the properties of triangles. If from any point without a circle two straight lines be drawn touching the circle, they are equal. This follows immediately from Euclid in. 37. For if DBj DE be... | |
 | Euclides - 1874 - Liczba stron: 342
...rectangle BE, ED (I. Ax. 1). Wherefore, if two straight lines, &c. QED PROPOSITION 36. — Theorem. If from any point without a circle two straight lines...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. Let D be any point without the circle ABC,... | |
 | Braithwaite Arnett - 1874 - Liczba stron: 130
...that AB bisects the angle between PA and QA produced. Prove that the chords .SPand BQ are equal. 7. If from any point without a circle two straight lines...of which cuts the circle, and the other touches it j the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,... | |
 | Bombay city, univ - 1874 - Liczba stron: 648
...circle there be drawn two 10 straight linos one of which cuts the circle and tho other meets it, and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to tho square of the lino which meets it, then the line which meets the circle shall bo a... | |
 | Edward Atkins - 1874 - Liczba stron: 426
...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 - Liczba stron: 428
...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 - Liczba stron: 288
...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 - Liczba stron: 382
...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 - 1876 - Liczba stron: 376
...'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 - 1876 - Liczba stron: 446
...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... | |
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IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square... 
