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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Resultat 1-5 av 100
Side 29
... distance from A to B , it will generate the line AB . A. -B . Hence , the extremities of a line are points , and the inter- sections of lines with each other are also points . 7. Lines are either right , or curved , or mixed of these ...
... distance from A to B , it will generate the line AB . A. -B . Hence , the extremities of a line are points , and the inter- sections of lines with each other are also points . 7. Lines are either right , or curved , or mixed of these ...
Side 31
... distance of a point from a right line is meant the perpendicular from that point to the line ; and one line is said to be equidistant from another , when every point in the one is equidistant from the other . A a b с 17. Right lines are ...
... distance of a point from a right line is meant the perpendicular from that point to the line ; and one line is said to be equidistant from another , when every point in the one is equidistant from the other . A a b с 17. Right lines are ...
Side 66
... distance between the centres of two circles is less than the sum of their radii , the greater radius being at the same time less than the sum of the smaller and the distance be- tween the centres , the two circumferences will cut each ...
... distance between the centres of two circles is less than the sum of their radii , the greater radius being at the same time less than the sum of the smaller and the distance be- tween the centres , the two circumferences will cut each ...
Side 67
... distance from each other equal to CA - AD . The circles will evidently have the point A common , and they will have no other ; because if they had two points common , the distance bc- E tween their ceutres must be less than the sum of ...
... distance from each other equal to CA - AD . The circles will evidently have the point A common , and they will have no other ; because if they had two points common , the distance bc- E tween their ceutres must be less than the sum of ...
Side 77
... distance CP describe a circumference , and from D , where it cuts AP or its prolongation , draw the diameter DE ; then EP will be the perpendicular re- quired , as is manifest from ( Prop . XIX . Cor . 2. ) AD F PROBLEM IV . From a ...
... distance CP describe a circumference , and from D , where it cuts AP or its prolongation , draw the diameter DE ; then EP will be the perpendicular re- quired , as is manifest from ( Prop . XIX . Cor . 2. ) AD F PROBLEM IV . From a ...
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Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 35 - The sum of any two sides of a triangle, is greater than the third side.
Side 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Side 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Side 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Side 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 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...
Side 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...
Side 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.