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 30
... angles have the same vertex , then each angle is designated by naming the sides about the angle ; naming the letter at the vertex always in the middle . Thus the angle CBA ... angle is less than a right angle 30 ELEMENTS OF GEOMETRY . 30.
... angles have the same vertex , then each angle is designated by naming the sides about the angle ; naming the letter at the vertex always in the middle . Thus the angle CBA ... angle is less than a right angle 30 ELEMENTS OF GEOMETRY . 30.
Σελίδα 32
... angled triangle , which has three acute angles . The obtuse angled triangle which has one obtuse angle . 26. A right angled triangle is one which has a right angle . 27. In a right angled triangle , the side opposite the right angle is ...
... angled triangle , which has three acute angles . The obtuse angled triangle which has one obtuse angle . 26. A right angled triangle is one which has a right angle . 27. In a right angled triangle , the side opposite the right angle is ...
Σελίδα 34
... angle BCE or ACE ( Def . 12. ) , which is a manifest absurdity ; therefore CD cannot be perpendicular to AC or АВ . PROPOSITION II . THEOREM . All right angles are equal to each other . Let ABC be a right angle , and DEF any other right ...
... angle BCE or ACE ( Def . 12. ) , which is a manifest absurdity ; therefore CD cannot be perpendicular to AC or АВ . PROPOSITION II . THEOREM . All right angles are equal to each other . Let ABC be a right angle , and DEF any other right ...
Σελίδα 35
Nathan Scholfield. BCD : but the first of those three angles is a right angle ; and the other two together make up the right angle BCE ; hence the sum of the two angles ACD and BCD is equal to two right angles . Cor . 1. If one of the ...
Nathan Scholfield. BCD : but the first of those three angles is a right angle ; and the other two together make up the right angle BCE ; hence the sum of the two angles ACD and BCD is equal to two right angles . Cor . 1. If one of the ...
Σελίδα 36
... right line . F E Let A , B , be the points through which two right lines pass , then they must necessarily coincide ... angles are equal to each other ( Prop . II . ) ; therefore the whole angle FCD is equal to the part FCE , which is ab- ...
... right line . F E Let A , B , be the points through which two right lines pass , then they must necessarily coincide ... angles are equal to each other ( Prop . II . ) ; therefore the whole angle FCD is equal to the part FCE , which is ab- ...
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.