| 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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