 | Euclides - 1872 - 102 pages
...DC. QBD Ex. 1. Two circles intersect in A and B; shew that AB produced bisects their common tangent. PROPOSITION XXXVII. THEOREM. If, from a point without a circle there be dratcn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained... | |
 | Henry Major - Student teachers - 1873 - 592 pages
...each of them is equal to the square on the straight line AD. which touches the circle. XXXVII. — If from a point without a circle there be drawn two...contained by the whole line which cuts the circle, anil the part of it without the circle be equal to the square on the line which meets it, the line... | |
 | Edward Atkins - 1874 - 426 pages
...of them is equal to the square on the straight line AD, which touches the circle. 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 line which cuts the circle, and the part of it without... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...of them is equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVIL THEOREM. If from a point without a circle there be drawn two straight Una, me of vkicIi cuti the circle, and the other meets it ; if the rectangle contained by the whole... | |
 | Education Department,London - 1876 - 1010 pages
...inscribed in the circle, having a side of the triangle for one of the sides of the figures ? 2. If from я point without a circle there be drawn two straight lines, one of which meets the circle and the other cuts it, and the rectangle contained by the whole line which euts the... | |
 | Edward Atkins - 1876 - 130 pages
...them is equal to the square on the straight line AD, which touches the circle. Proposition 37. — Theorem. If from a point without a circle there be drawn two straight tines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the... | |
 | Edward Harri Mathews - 1879 - 94 pages
...between the two angles at the base shall be respectively equal to two given angles. 2. If from any point without a circle 'there be drawn two straight...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... | |
 | University of Oxford - Education, Higher - 1879 - 586 pages
...the centre, they do not bisect one another. 5. Inscribe a circle in a given triangle. 6. 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... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...AD, DB with sq. on 0B=sqq. on OC, DC. I. 47. And sq. on 0B=sq. on 0C; .'. rwt. AD, DB=sq. on DC. QED PROPOSITION XXXVII. THEOREM. If, from a point without...circle, there be drawn two straight lines, one of which ants the circle, and, the other meets it ; \f the rectangle contained by the whole line which cuts... | |
 | Elizabethan club - 1880 - 156 pages
...prove that if the tangent to the circle at A meet CB produced in D, then DE will be equal to DA. 8. If from a point without a circle there be drawn two...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... | |
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