Elements of GeometryH. Holt, 1881 - 399 sider |
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Side iii
... be remodeled . The most decided failure is in the treatment of angular magnitude . We find neither in Euclid nor among his modern followers any recognition of angles equal to or exceeding 180 ° , or any explicit definition of.
... be remodeled . The most decided failure is in the treatment of angular magnitude . We find neither in Euclid nor among his modern followers any recognition of angles equal to or exceeding 180 ° , or any explicit definition of.
Side iv
Simon Newcomb. or exceeding 180 ° , or any explicit definition of what is meant by the sum of two or more angles . The additions to the old system of angular measurement are the following two : Firstly . An explicit definition of the ...
Simon Newcomb. or exceeding 180 ° , or any explicit definition of what is meant by the sum of two or more angles . The additions to the old system of angular measurement are the following two : Firstly . An explicit definition of the ...
Side 1
... Definition . Geometry is the science which treats of magnitude , position , and form . Def . A geometric magnitude is that which has extension in space , or what is familiarly called size . Geometric magnitudes are of three orders ...
... Definition . Geometry is the science which treats of magnitude , position , and form . Def . A geometric magnitude is that which has extension in space , or what is familiarly called size . Geometric magnitudes are of three orders ...
Side 8
... definition the sum of two right angles , because the sum of the two right angles ABC and ABD is ( 18 ) the angle CBD , which is a straight angle . 22. Def . An acute angle is one which is less than a right angle . Acute angle . Obtuse ...
... definition the sum of two right angles , because the sum of the two right angles ABC and ABD is ( 18 ) the angle CBD , which is a straight angle . 22. Def . An acute angle is one which is less than a right angle . Acute angle . Obtuse ...
Side 17
... definition : 34. Def . A figure is said to be symmetrical with respect to a point when , being turned half way round on this point , every part of the figure is in the position which the opposite part occu- pied before being moved . Def ...
... definition : 34. Def . A figure is said to be symmetrical with respect to a point when , being turned half way round on this point , every part of the figure is in the position which the opposite part occu- pied before being moved . Def ...
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Vanlige uttrykk og setninger
ABCD adjacent angles altitude angle AOB angle arc base bisect centre chord circle circumscribed coincide Conclusion cone conical surface construction corresponding curve diagonals diameter dicular dihedral angle distance divided draw edge angle ellipse equal angles equally distant exterior angle face angles figure foci frustrum geometry given greater Hence hyperbola Hypothesis identically equal indefinitely inscribed isosceles Join length line of intersection locus magnitude meet middle point number of sides opposite angles opposite sides parabola parallel planes parallelogram parallelopiped pass perpen plane MN point of intersection polyhedral angle polyhedron prism Proof pyramid Q.E.D. Corollary Q.E.D. THEOREM quadrilateral radii radius ratio rect rectangle reflex angle regular polygon right angles Scholium segments slant height solid sphere spherical triangle square straight angle straight line surface tangent trapezoid triangles are identically vertex vertices
Populære avsnitt
Side 146 - In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either side and the projection on it of the other side.
Side 184 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 44 - Every point in the bisector of an angle is equally distant from the sides of the angle...
Side 149 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 45 - 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 are equal in all respects.
Side 103 - A rectilineal figure is said to be described about a circle, when each side of the circumscribed figure touches the circumference of the circle. V. In like manner, a circle is said to be inscribed...
Side 235 - ten decimals are sufficient to give the circumference of the earth to the fraction of an inch, and thirty decimals would give the circumference of the whole visible universe to a quantity imperceptible with the most powerful microscope.
Side 90 - The sum of the three straight lines drawn from any point within a triangle to the three vertices, is less than the sum and greater than the half sum of the three sides of the triangle (I . 33, 66).
Side 168 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Side 196 - If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means.