 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...segments between the vertex and the cutting line, may be equal to a given square. (VI.) If from a given point, without a circle, two straight lines be drawn to the concave circumference, they shall be reciprocally proportional to the parts of them between the given point... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...intercepted by two lines drawn from its other extremity to the former intersections of the circle. 79- If from a point without a circle two straight lines be drawn touching it, and from one point of contact a perpendicular be drawn to that diameter which passes through... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...be equal to twice the rectangle contained by this cutting line and the part without the Circle. 10. If from a point without a circle two straight lines be drawn, one through the centre to the circumference, and the other perpendicular to it, and on the former a... | |
 | Daniel Cresswell - Geometry - 1819 - 486 pages
...: AB : : AB : AE ; .-. {E. 17. 6.) DA X AE = AB*. PROP. XLIX. ' ' ' ' 58. THEOREM. If from a given point, without a circle, two straight lines be drawn to the concave - circumference, they shall be reciprocally pro.' fortional to the parts of them bet-ween the given... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...equal, therefore (Eucl. iii. 29.) the straight lines AG, В F arc also equal. (2.) If from a paint without a circle, two straight lines be drawn to the...with the line joining the same point and the centre, t he parts of t he lines which are intercepted within the circle are equal. From the point P without... | |
 | Miles Bland - Euclid's Elements - 1827 - 462 pages
...circumference. If FG be parallel to AB ; the arc EF= EG, whence AG = BF. GEOMETRICAL PKOBLEMS. (2.) If from a point without a circle, two straight lines...joining the same point and the centre, the parts of the lines which are intercepted within the circle are equal. From the point P without the circle ABC... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...cut the circle. 9. Two tangents from the same point, without a circle, are equal to each other. 10. If, from a point without a circle, two straight lines be drawn whereof one is a tangent and the other cuts the circle, the rectangle contained by the line which cuts... | |
 | Euclides - Geometry - 1841 - 378 pages
...«Cor. 16. touches the circle ABC. Wherefore, if from a point, '' &c. UED COR. Hence it is evident, that if from a point without a circle, two straight lines be drawn to touch the circle, these two straight lines are equal to one another. THE ELEMENTS OF EUCLID. BOOK IV.... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...triangle. Q. XXIII. If, from a point P, without the circle ABC, two straight lines Fig. 314. PB, PD, he drawn to the concave part of the circumference, making equal angles with PO, the line joining P and the centre, the parts of the lines, AB, CD, which are intercepted within... | |
 | James Thomson - 1844 - 328 pages
...equiangular to one another, the sides which are opposite to equal angles are proportional. (Euc. VI. 4.) 7. If from a point without a circle two straight lines be drawn cutting it, and be continued to meet the remote part of its circumference, the rectangle contained... | |
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If from a point without a circle two straight lines be drawn, one of which... 
