 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...shall all -. in the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines be drawn, one of which...and the other touches it ; the rectangle contained 6y the whole line which cuts the circle, and the part of it without the. circle, must be equal to the... | |
 | Henry Major - 1873 - 588 σελίδες
...therefore the rectangle AE, EC is equal to the rectangle BE, ED. XXXVI. — If from any point without a circle two straight lines be drawn, one of which...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 on the line which touches... | |
 | University of Madras - 1873 - 436 σελίδες
...quadrilateral KLMN is equal in all respects to the quadrilateral ABCD. IX. If from any point without a circle two straight lines be drawn, one of which cuts the circle, bui does not pass through the centre, and the other touches it ; prove that the rectangle contained... | |
 | Euclides - 1874 - 342 σελίδες
...1). Wherefore, if two straight lines, &c. QED PROPOSITION 36. — Theorem. If from any point without a circle two straight lines be drawn, one of which...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 on the line which touches... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...between PA and QA produced. Prove that the chords .SPand BQ are equal. 7. If from any point without a circle two straight lines be drawn, one 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,... | |
 | Edward Atkins - 1874 - 426 σελίδες
...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 σελίδες
...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,... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 σελίδες
...shall all lie in the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines be drawn, one of which...the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, must be equal to the square on the line which touches... | |
 | Robert Potts - 1876 - 446 σελίδες
...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 be drawn, one of which...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... | |
 | Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...'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 rectangle contained by the whole line which cuts the circle, and the part of it without the circle, must be equal to the square on the line which touches... | |
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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... 
