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 89
... bases and alti- tudes equal ; for it has been shown ( Prop . I. ) that the rhom- boids AG , GC , are equivalent ( see the diagram ) where the base GF must be longer than the base GE , provided AB is longer than AD , for then the angle ...
... bases and alti- tudes equal ; for it has been shown ( Prop . I. ) that the rhom- boids AG , GC , are equivalent ( see the diagram ) where the base GF must be longer than the base GE , provided AB is longer than AD , for then the angle ...
Σελίδα 91
... base by its altitude . For , the parallelogram ABCD is equiva- lent to the rectangle ABEF , which has the same base AB , and the same altitude BE ( Prop . III . Cor . ) : but this rectangle is measured by ABX BE ( Prop . VI . Sch ...
... base by its altitude . For , the parallelogram ABCD is equiva- lent to the rectangle ABEF , which has the same base AB , and the same altitude BE ( Prop . III . Cor . ) : but this rectangle is measured by ABX BE ( Prop . VI . Sch ...
Σελίδα 110
... base by the rectangle EL ; and in the second case that they exceed it by the rectangle EL . Lastly , that if the triangle be right angled at B , as the rectangle EL vanishes , the sum of the squares of the sides is equal to the square ...
... base by the rectangle EL ; and in the second case that they exceed it by the rectangle EL . Lastly , that if the triangle be right angled at B , as the rectangle EL vanishes , the sum of the squares of the sides is equal to the square ...
Σελίδα 114
... base drawn from one of its angles to meet the opposite side produced , is equal to half the product of the base with the difference of per- pendiculars from the other two angles to this base . Let ABC be a triangle , and let BD be a base ...
... base drawn from one of its angles to meet the opposite side produced , is equal to half the product of the base with the difference of per- pendiculars from the other two angles to this base . Let ABC be a triangle , and let BD be a base ...
Σελίδα 115
... base , instead of being exterior , should Α fall within the triangle , as BD , then the area of the triangle ABC is equal to half the product of the base BD into the sum of the perpendicu- lars AF + CH let fall from the angles A ani C ...
... base , instead of being exterior , should Α fall within the triangle , as BD , then the area of the triangle ABC is equal to half the product of the base BD into the sum of the perpendicu- lars AF + CH let fall from the angles A ani C ...
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.