The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth ; the Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored ; Also the Book of Euclid's Data, in Like Manner CorrectedDesilver, 1829 - 516 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 480
... sine CD and that ex- tremity , is called the Versed Sine of the arch AC , or angle ABC . VI . A straight line AE , touching the circle at A , one extremity of the arch AC , and meeting the diameter BC passing through the other extremity ...
... sine CD and that ex- tremity , is called the Versed Sine of the arch AC , or angle ABC . VI . A straight line AE , touching the circle at A , one extremity of the arch AC , and meeting the diameter BC passing through the other extremity ...
Σελίδα 481
... sine , versed sine , tangent , and se- cant , of any arch which is the measure of any given angle ABC , is to the sine , versed sine , tangent , and secant , of any other arch which is the measure of the same angle , as the radius of ...
... sine , versed sine , tangent , and se- cant , of any arch which is the measure of any given angle ABC , is to the sine , versed sine , tangent , and secant , of any other arch which is the measure of the same angle , as the radius of ...
Σελίδα 482
... sine of the angle ABC opposite to it ; and if either side BA be made radius , the other side AC will be the tangent of the angle ABC op- posite to it , and the hypothenuse BC the secant of the same angle . About B as a centre , with BC ...
... sine of the angle ABC opposite to it ; and if either side BA be made radius , the other side AC will be the tangent of the angle ABC op- posite to it , and the hypothenuse BC the secant of the same angle . About B as a centre , with BC ...
Σελίδα 484
... sine of the angle included by the two sides . Let ABC be a plane triangle ; twice the rectangle ABC con- tained by any two sides BA , BC , is to the difference of the sum of the squares of BA , BC , and the square of the base AC , as ...
... sine of the angle included by the two sides . Let ABC be a plane triangle ; twice the rectangle ABC con- tained by any two sides BA , BC , is to the difference of the sum of the squares of BA , BC , and the square of the base AC , as ...
Σελίδα 485
... sine of BAD , which is the complement of the angle ABC , that is , as radius to the co - sine of ABC . PROP . VI . FIG . 11 . IN any triangle ABC , whose two sides are AB , AC , and base BC , the rectangle contained by half the ...
... sine of BAD , which is the complement of the angle ABC , that is , as radius to the co - sine of ABC . PROP . VI . FIG . 11 . IN any triangle ABC , whose two sides are AB , AC , and base BC , the rectangle contained by half the ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference co-sine cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore
Δημοφιλή αποσπάσματα
Σελίδα 9 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 81 - The angles in the same segment of a circle are equal to one another.
Σελίδα 315 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 49 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Σελίδα 96 - 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 of the line which touches it.
Σελίδα 155 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 22 - ANY two angles of a triangle are together less than two right angles.
Σελίδα 25 - Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz.
Σελίδα 24 - Any two sides of a triangle are together greater than the third side.