Books Books If from any point 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... The first three books of Euclid's Elements of geometry, with theorems and ... - Page 82
by Euclid, Thomas Tate - 1849 - 108 pages ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...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 (he part of it without the circle, be equal to the square of the line which meets it, the line which... ## A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1845 - 222 pages
...circles, and be touched by the line which joins their centres. (Euclid, iii. 18. Cape, ii. 38.) 38. If from any point without a circle, two straight lines be drawn, making equal angles with the line through the centre, they will cut off equal segments from the circle.... ## The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...e| BE ED = GE EH ' AE . EC = BE . ED. Wherefore, if 2 str. lines, &c. PROP. LXIII. THEOR. 36. 3 E«. If from any point without a circle two straight lines...circle, and the part of it without the circle, shall equal to the square of the line uiluch. it. Let D be any point without the 0 ABC ; and DCA, DB two... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...because, as has been shown, AE.EC=GE.EH, and BE.ED=GE.EH ; therefore AE.EC=BE. ED. BG PROP. XXXVI. THEOR. If from any point without a circle two straight lines...the circle, and the part of it without the circle, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, then, 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 of the line which meets it, the line which meets shall touch the circle. Let... ## The Solutions of the Geometrical Problems: Consisting Chiefly of Examples in ...

Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...intersection. Find the corresponding equation to the parabola^ 4. Prove analytically that if from a point without a circle two straight lines be drawn,...which cuts the circle and the other touches it, the square of the line that touches the circle is equal to the rectangle contained by the straight line... ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclid - 1848 - 52 pages
...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 of the line which meets it, the line which meets it shall touch the circle.... ## The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...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 of the line which meets it, the line which meets shall touch the circle. 2.... ## University of Durham

University of Durham - Education, Higher - 1851 - 222 pages
...from the centre are equal to one another. 8. If from a point without a circle two straight lines he drawn, one of which cuts the circle and the other...the whole line which cuts the circle and the part without the circle is equal to the square of the line which touches it. 9. To describe a circle about... 