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 100.
Σελίδα 43
... drawn . Let A be the given point , DE the given line , AB the perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The triangle BCF is equal to the ...
... drawn . Let A be the given point , DE the given line , AB the perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The triangle BCF is equal to the ...
Σελίδα 63
... draw the radii CA , CD . D A G E H In the right angled triangles CAF , DCG , the hypothenuses CA , CD , are equal ; and the side AF , the half of AB , is equal to the side DG , the half of DE ; hence the triangles are equal , and CF is ...
... draw the radii CA , CD . D A G E H In the right angled triangles CAF , DCG , the hypothenuses CA , CD , are equal ; and the side AF , the half of AB , is equal to the side DG , the half of DE ; hence the triangles are equal , and CF is ...
Σελίδα 64
... drawn to the point of contact . Let ABD be perpendicular to the radius CB , it shall touch the circle in the point A B. B ED For to show that this point B is the only one which the circle has in common with AD , let CE be drawn to any ...
... drawn to the point of contact . Let ABD be perpendicular to the radius CB , it shall touch the circle in the point A B. B ED For to show that this point B is the only one which the circle has in common with AD , let CE be drawn to any ...
Σελίδα 65
... draw the radius CH perpendicular to the chord MP . It will , at the same time be perpendicular to NI . ( Prop . XXIII . Cor . 1. B. II ) ; therefore , the point H will be at once the middle of the arc MHP , and of the arc NHL ( Prop ...
... draw the radius CH perpendicular to the chord MP . It will , at the same time be perpendicular to NI . ( Prop . XXIII . Cor . 1. B. II ) ; therefore , the point H will be at once the middle of the arc MHP , and of the arc NHL ( Prop ...
Σελίδα 73
... draw the diameter AD . The angle BAD is a right angle ( Prop . IX . ) , and is measured by half the semi - circumference AMD ; the angle DAC is measured by the half of DC : hence , BAD + DAC , or BAC , is mea- sured by the half of AMD ...
... draw the diameter AD . The angle BAD is a right angle ( Prop . IX . ) , and is measured by half the semi - circumference AMD ; the angle DAC is measured by the half of DC : hence , BAD + DAC , or BAC , is mea- sured by the half of AMD ...
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.