 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...  Elements of Arithmetic, Algebra, and Geometry - Page 164by George Lees - 1826Full view - About this book
 | 1884 - 648 pages
...construct the triangle. 20 marks. 4. Describe a square equal to a given rectilineal figure. 20 marks. Г). 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 c-oiitamcd by the whole line which cuts the circle and the part of it without... | |
 | 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
...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 drawn two...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 - 1890 - 442 pages
...cut the circle, and the other to meet it; and if the square on the line which meets it, is equal to the rectangle contained by the whole line which cuts the circle, and tlie part of it without the circle, then the line which meets the circle touches it. Let P be a pt.... | |
 | Euclid - Geometry - 1892 - 460 pages
...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 drawn two...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... | |
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