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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, and 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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 77
by Euclides - 1837 - 88 pages
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884 - 204 pages
...the same point. (5) If one angle of a triangle be equal to the other two, it is a right angle. (в) If from a point without a circle there be drawn two straight lines cutting it, the rectangles contained by the whole lines and the parts without the circle are equal...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...angles stand on equal circumferences, whether they be at the centres or circumferences. 8. If from any point without a circle there be drawn two straight...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...
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The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...circumference of the other. Shew that the square on the common chord is three times that on the radius. 164. If 'from a point without a circle there be drawn two straight lines, one of which is perpendicular to a diameter, and the other cuts the circle : the square on the perpendicular is...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...converse of III. 36, Cor. i. — (i.) indirectly; (ii. ) by the converse of III. 35. i PROPOSITION 37. THEOREM. If from a point without a circle there be...meets it ; if the rectangle contained by the whole straight line which cuts the circle and the part of it without the circle be equal to the square of...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...other, and also to the square of the line which touches the circle. (Eu. III., 36.) 138*. THEOR. 25. — If from a point without a circle there be drawn two...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...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...circle, and the part of it without the circle, shall be equal to the square of the line which touches it. If from a point without a circle there be drawn two straight lines, one of which is perpendicular to a diameter, and the other cuts the circle : the square of the perpendicular is...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...cinb AaU be I ABC: EF HPL to AD. EC, EO. the .in •1 ..e. str. i.4. nust AB, <s not PROPOSITION 37. THEOREM. If from a point without a circle there be...of which cuts the circle, and the other meets it, and if the rectangle contained by the whole liiie which cuts the circle and the part of it without...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pages
...circle. Find an expression which will represent the length of this tangent. 9. (a) Prove that if from any point without a circle there be drawn two straight...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...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...AD is equal to the square on AC. PROPOSITION 37. THEOREM. If from a point without a circle there are 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...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...respectively in F,G,H; show that a circle can be described round the quadrilateral EFGH. 8. If from any point without a circle there be drawn two straight...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...
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