This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1873 Excerpt: ... both circles, their other extremities and the other point of section will be in a straight line. 2. If a chord be drawn parallel to the diameter of a circle, the radii to the points where it meets the circle make equal angles with the diameter. 3. The locus of a point from which two unequal circles subtend equal ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1873 Excerpt: ... both circles, their other extremities and the other point of section will be in a straight line. 2. If a chord be drawn parallel to the diameter of a circle, the radii to the points where it meets the circle make equal angles with the diameter. 3. The locus of a point from which two unequal circles subtend equal angles is a circle. j 4. A line moves so that the sum of the perpendiculars on it from two given points in its plane is constant. Shew that the locus of the middle point between the feet of the perpendiculars is a circle. 5. If 0, (y be the centres of two circles, the circumference of the latter of which passes through 0; then the point of intersection A of the circles being joined with 0' and produced to meet the circles in C, D, we shall have AC.AD = 2A0 6. If two circles touch one another in 0, and two common chords be drawn through 0 at right angles to one another, the sum of their squares is equal to the square of the sum of the diameters of the circles. 7. A, B, C are three points in the circumference of a circle; prove that if tangents at B and C meet, in D, those at C and A in E, and those at A and B in F; then AD, BE, CF will meet in a point. 8. If A, B, G are three points in the circumference of a circle, prove that V(AB. BC. CA) is a vector parallel to thetangent at A. 9. A straight line is drawn from a given point 0 to a point P on a given sphere: a point' Q is taken in OP so that OP.OQ = k Prove that the locus of Q is a sphere. 10. A point moves so that the ratio of its distances from two given points is constant. Prove that its locus is either a plana or a. sphere. 11. A point moves so that the sum of the squares of its distances from a number of given points is constant. Prove that its locus is a sphere. 12. A sphere touches each of t...
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Fine. Trade paperback (US). Glued binding. 252 p. Contains: Illustrations, black & white. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Trade paperback (US). Glued binding. 252 p. Contains: Illustrations, black & white. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Like New. Used-Like New. Book is new and unread but may have minor shelf wear. Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
