Elements of plane (solid) geometry (Higher geometry) and trigonometry (and mensuration), being the first (-fourth) part of a series on elementary and higher geometry, trigonometry, and mensuration |
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Αποτελέσματα 1 - 5 από τα 77.
Σελίδα 116
... sine of such an- gle ; and the sine may be shown to be the ratio of the side of a triangle to a perpendicular drawn from one of the adja- cent angles to the opposite side . PROPOSITION XXXIII . THEOREM . The area of a trapezium is equal ...
... sine of such an- gle ; and the sine may be shown to be the ratio of the side of a triangle to a perpendicular drawn from one of the adja- cent angles to the opposite side . PROPOSITION XXXIII . THEOREM . The area of a trapezium is equal ...
Σελίδα 30
... sine of the angle PCA . Or , PS = sin . 8 . CA 5. The ratio of AT to the radius CA of the circle , is called the tangent of the angle TCA or PCA . Hence , AT = tan . 8 . CA 6. And the ratio of CT to the radius is the secant of the angle ...
... sine of the angle PCA . Or , PS = sin . 8 . CA 5. The ratio of AT to the radius CA of the circle , is called the tangent of the angle TCA or PCA . Hence , AT = tan . 8 . CA 6. And the ratio of CT to the radius is the secant of the angle ...
Σελίδα 31
... sine of the angle PCA . Or , AS CA = v . sin . 8 . 8. The sine of the complement of an angle , is called the sine complement , or cosine of that angle . Thus , sin . ( 90 ° -9 ) = cos . 4 , hence cos . ( 90 ° -4 ) = sin . 4 . 9. The ...
... sine of the angle PCA . Or , AS CA = v . sin . 8 . 8. The sine of the complement of an angle , is called the sine complement , or cosine of that angle . Thus , sin . ( 90 ° -9 ) = cos . 4 , hence cos . ( 90 ° -4 ) = sin . 4 . 9. The ...
Σελίδα 35
... sine of half the arc . Take any arc AQ , subtending at the centre of the circle the angle ACQ = 0 . Draw the straight line CP bisecting the angle ACQ . Join A , Q ; from P let fall PS dicular on CA. perpen- Since CP bisects ACQ , the ...
... sine of half the arc . Take any arc AQ , subtending at the centre of the circle the angle ACQ = 0 . Draw the straight line CP bisecting the angle ACQ . Join A , Q ; from P let fall PS dicular on CA. perpen- Since CP bisects ACQ , the ...
Σελίδα 36
... sine + . All lines measured from the point C along CD , that is , in the opposite direction A to the right are considered negative , or have the sign- All lines measured from the point C along CB , that is , upwards , are considered ...
... sine + . All lines measured from the point C along CD , that is , in the opposite direction A to the right are considered negative , or have the sign- All lines measured from the point C along CB , that is , upwards , are considered ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD abscissa altitude axis bisect chord circle circular segment circum circumference circumscribing cone conjugate construction convex surface cosec cosine cube curve cylinder described diameter distance divided draw ellipse equal to half equation equivalent feet figure formed frustum Geom geometry given hence hyperbola hypothenuse inches inscribed inscribed sphere latus rectum length logarithm magnitude measured multiplied by one-third number of sides opposite ordinates parabola parallel parallelogram perimeter perpendicular plane polyedroid polyedron polygon portion prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon revoloid rhomboid right angled triangle right line root Scholium sector segment similar similar triangles sine slant height solid angle sphere spherical square straight line tangent THEOREM triangle ABC triangular triangular prism ungula vertex vertical virtual centre
Δημοφιλή αποσπάσματα
Σελίδα 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 116 - E to A, from A to B, from B to C, and from C to...
Σελίδα 35 - The sum of any two sides of a triangle, is greater than the third side.
Σελίδα 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Σελίδα 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Σελίδα 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 86 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Σελίδα 211 - To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter...
Σελίδα 48 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.