 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Euclid - Geometry - 1892 - 460 pages
...cinb AaU be I ABC: EF H»PL 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... | |
 | 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... | |
 | 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... | |
 | 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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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... 
