A Treatise on Special Or Elementary Geometry, Bände 1-2Sheldon, 1872 - 1 Seiten |
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Seite 17
... passing a pen or pencil along this edge . COR . Two straight lines can intersect in but one point ; for , if they had two points common , they would coincide and not intersect . Ex . 1. A railroad is to be run from the town A to town B ...
... passing a pen or pencil along this edge . COR . Two straight lines can intersect in but one point ; for , if they had two points common , they would coincide and not intersect . Ex . 1. A railroad is to be run from the town A to town B ...
Seite 19
... to any point in the circumference of a Circle . 51. A Diameter of a Circle is a line passing through the centre and terminating in the circumference . B Α m B .0 FIG . 27 . B ABOUT CIRCLES . 19 SECTION II ABOUT CIRCLES 19-25.
... to any point in the circumference of a Circle . 51. A Diameter of a Circle is a line passing through the centre and terminating in the circumference . B Α m B .0 FIG . 27 . B ABOUT CIRCLES . 19 SECTION II ABOUT CIRCLES 19-25.
Seite 20
... passing through the centre , as BC or AD , Fig . 28. The portion of the circle included between the chord and its arc , as AmD , is a SEGMENT . 53. A Tangent to a circle is a straight line which touches the circumference , but does not ...
... passing through the centre , as BC or AD , Fig . 28. The portion of the circle included between the chord and its arc , as AmD , is a SEGMENT . 53. A Tangent to a circle is a straight line which touches the circumference , but does not ...
Seite 30
... passing through the point O. Now let CD turn around , first into the position D'C ' , then into D " C " , etc. , all the time passing through O. It is evident that the angle which this line makes with the line AB is all the time growing ...
... passing through the point O. Now let CD turn around , first into the position D'C ' , then into D " C " , etc. , all the time passing through O. It is evident that the angle which this line makes with the line AB is all the time growing ...
Seite 65
... passing over AP , will I gain or lose in distance by going on a little farther in the direction of AP before I turn and go straight to B ? What principle is in- volved ? Would I gain or lose by stopping short of P on the line AP ? Why ...
... passing over AP , will I gain or lose in distance by going on a little farther in the direction of AP before I turn and go straight to B ? What principle is in- volved ? Would I gain or lose by stopping short of P on the line AP ? Why ...
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A Treatise on Special Or Elementary Geometry: In Four Parts Edward Olney Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
ABCD adjacent altitude angle or arc bisect centre chord circle circumference coincide common point conceive construct cosec cosine cotangent DEM.-Let diagonals diameter diedral distance divided draw drawn equal angles equiangular equilateral equivalent exterior angle facial angles figure frustum geometrical given line given point Hence hypotenuse included angle inscribed intersect isosceles less let fall locus LOGARITHMIC FUNCTIONS lune measured middle point number of sides parallel parallelogram parallelopiped passing pendicular perpendicular plane triangle prism Prob Prob.-To produced project the triangle PROP PROPOSITION pyramid quadrant quadrilateral radii radius rectangle regular polygon revolve right angled triangle secant secant line similar similar triangles sine solution sphere spherical angle spherical triangle square straight line student SUG's surface symmetrical tang tangent Theorem.-The triangle ABC triedral trigonometrical trigonometrical functions values vertex vertices whence
Beliebte Passagen
Seite 219 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Seite 111 - If the diagonals of a parallelogram are equal, the figure is a rectangle.
Seite 130 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Seite 33 - Cut out two such triangles and try it Ex. 6. If you have two triangles with only two sides of one respectively equal to two sides of the other, can you make one fit as a pattern on the other ? Try it. Ex. 7. If you have two triangles with two sides in one equal respectively to two sides in the other, and the included angle in one greater than in the other, how is it with the third sides of the triangles ? 76.
Seite 109 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Seite 106 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Seite 250 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Seite 245 - If from any point there extend two lines tangent to a circumference, the angle contained by the tangents is double the angle contained by the line joining the points of contact and the radius extending to one of them.
Seite 141 - Hence, the area of a trapezoid is equal to the product of its altitude by the line connecting the middle points of the sides which are not parallel.
Seite 81 - In the same or in equal circles, of two unequal chords, the less is at the greater distance from the centre. DEM. — Let CE < AB, then is the perpendicular OD, which measures the distance of CE from the centre, greater than OD' •which measures the distance of AB from the centre.