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" If from a point without a 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-... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 92
των Robert Simson - 1781 - 466 σελίδες
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The Madras University Calendar

University of Madras - 1873 - 436 σελίδες
...which cuts the circle, bui does not pass through the centre, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle and the part of it without the circle ,s equal to the square on the line which tenches it. THUKSDAT, 19iH DEC., 2 TO 5 PM INDIAN HISTORY....

The Bombay university calendar, Τόμος 1

Bombay city, univ - 1874 - 648 σελίδες
...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...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 tangent to it....

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...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 on the line which touches it. Let D be any point without the circle ABC,...

Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 σελίδες
...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 on the line which touches it. 8. Inscribe a circle in a given triangle....

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...the circle. Proposition 37.— Theorem. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without...

The Madras University Calendar, Τόμος 1

University of Madras - 1876 - 580 σελίδες
...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 of the lina which touches it. the square of .BO is less than the squares...

Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...lines be drawn, one of which not passing through the centre 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 on the line which touches it. If any number of circles intersect two and...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...without a cirele, 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, must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...XXXVIL THEOREM. If from a point without a circle there be drawn two straight Una, me of vkicIi cuti the circle, and the other meets it ; if the rectangle contained by the whole line which cuti the circle, and the part of it without the circle, be equal tu the square on the line which meets...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...without a circle two straight lines ba drawn, one of which cuts the circle, and the other touches it; the rectangle 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...




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