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 99.
Σελίδα 30
... formed by the intersection of the lines CB and AB at the vertex B ; and by the angle DBC or CBD , the angle formed by the meeting of C the lines CB and DB is in like manner designated . B Angles are greater or less , as the lines forming ...
... formed by the intersection of the lines CB and AB at the vertex B ; and by the angle DBC or CBD , the angle formed by the meeting of C the lines CB and DB is in like manner designated . B Angles are greater or less , as the lines forming ...
Σελίδα 36
... formed at their intersection will be equal . If the two right lines AB , CD , C intersect at E , the opposite angles , CEB , AED , will be equal . For the sum of the angles CEA , CEB , is equal to two right angles ( Prop . III . ) Also ...
... formed at their intersection will be equal . If the two right lines AB , CD , C intersect at E , the opposite angles , CEB , AED , will be equal . For the sum of the angles CEA , CEB , is equal to two right angles ( Prop . III . ) Also ...
Σελίδα 37
... formed about the point C , by two lines perpendicular to each other , the same space would be occupied by the four right angles , as the successive angles ACB , BCD , DCE , ECF , FCA . PROPOSITION VII . THEOREM . ' F ( Converse of Prop ...
... formed about the point C , by two lines perpendicular to each other , the same space would be occupied by the four right angles , as the successive angles ACB , BCD , DCE , ECF , FCA . PROPOSITION VII . THEOREM . ' F ( Converse of Prop ...
Σελίδα 38
... formed , of which AB shall be one side , and A an angle ; now it is obvious that the side of this triangle which corres- ponds to DF , must fall upon AC , otherwise the angles A and D would be unequal ; nor can this side extend beyond ...
... formed , of which AB shall be one side , and A an angle ; now it is obvious that the side of this triangle which corres- ponds to DF , must fall upon AC , otherwise the angles A and D would be unequal ; nor can this side extend beyond ...
Σελίδα 47
... formed take . particular names . Interior angles on the same side , are , those which lie within the parallels , and on the same side of the secant line : thus , OGB , BGE , are interior angles on the F same side ; and so also are the ...
... formed take . particular names . Interior angles on the same side , are , those which lie within the parallels , and on the same side of the secant line : thus , OGB , BGE , are interior angles on the F same side ; and so also are the ...
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.