Universal Arithmetick, Or, A Treatise of Arithmetical Composition and Resolution: To which is Added, Dr. Halley's Method of Finding the Roots of Aequations Arithmetically

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J. Senex ..., W. Taylor ..., T. Warner ... and J. Osborn, 1720 - Algebra - 272 pages

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Page 92 - In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base.
Page 231 - Cafe ; becaufe we ought either to exclude all Lines, befides the Circle and right Line, out of Geometry, or admit them according to the Simplicity of their Defcriptions, in which Cafe the Conchoid yields to none, except the Circle.
Page 76 - If the Sun moves every Day one Degree, and the Moon thirteen, and at a certain Time the Sun be at the Beginning of Cancer, and in three Days after the Moon in the Beginning of Aries, the Place of their next following Conjunction is required ? 67.
Page 231 - Equations are Expressions of Arithmetical Computation, and properly have no place in Geometry, except as far as Quantities truly Geometrical (that is, Lines, Surfaces, Solids, and Proportions) may be said to be some equal to others.
Page 153 - Three naves being erefted, or fet up on end, in fome certain place of the earth, perpendicular to the plane of the horizon, in the points...
Page 32 - Power, the next Figure will be found by dividing the Remainder augmented by the next Figure of the Refolvend, by the next...
Page 232 - Wherefore I ought not to be blamed, if, with that prince of mathematicians, Archimedes, and other ancients, I make use of the conchoid for the construction of solid problems.
Page 76 - If the sun moves every day one degree, and the moon thirteen degrees, and at a certain time the sun be at the beginning of Cancer, and in three days after, the moon in the beginning of Aries, the place of their next following conjunction is required (Newt.
Page 42 - Quantity will not admit of a Divifor of two Dimenfions. The fame Method may be extended to the Invention of Divifors of more Dimenfions, by feeking in the aforefaid...
Page 209 - From the square of the hypothenuse take four times the areaof the triangle, and the square root of the remainder will be the difference of the legs.

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