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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Seite 30
... perpendicular to another , when it makes with it equal adjacent an- gles A perpendicu- lar at the extremity of a line is that which makes an angle with it equal to the adja- cent angle which would be formed by producing the line beyond ...
... perpendicular to another , when it makes with it equal adjacent an- gles A perpendicu- lar at the extremity of a line is that which makes an angle with it equal to the adja- cent angle which would be formed by producing the line beyond ...
Seite 31
... 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 parallel , when they are at the same perpendicular ...
... 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 parallel , when they are at the same perpendicular ...
Seite 33
... perpendicular thereto may be drawn . PROPOSITION I. THEOREM . From the same point in a given right line , more than one perpendicular thereto cannot be drawn . Let CE be perpendicular to the right line AC or 5 BOOK II . 33.
... perpendicular thereto may be drawn . PROPOSITION I. THEOREM . From the same point in a given right line , more than one perpendicular thereto cannot be drawn . Let CE be perpendicular to the right line AC or 5 BOOK II . 33.
Seite 34
... perpendicular to AB by hypothesis , therefore the angle DCB must be equal to the 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 ...
... perpendicular to AB by hypothesis , therefore the angle DCB must be equal to the 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 ...
Seite 43
... perpendicular are themselves equal , and the more remote from the perpendicular the point of meeting is , the longer is the line drawn . Let A be the given point , DE the given line , AB the perpendicular , and AD , AC , AE , the ...
... perpendicular are themselves equal , and the more remote from the perpendicular the point of meeting is , the longer is the line drawn . Let A be the given point , DE the given line , AB the perpendicular , and AD , AC , AE , the ...
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Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
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
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Seite 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Seite 116 - E to A, from A to B, from B to C, and from C to...
Seite 35 - The sum of any two sides of a triangle, is greater than the third side.
Seite 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Seite 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Seite 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Seite 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Seite 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...
Seite 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...
Seite 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.