Essentials of GeometryS.C. Griggs, 1883 - 267 σελίδες |
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Σελίδα 2
... extremities , of lines are called Points . As they mark merely the limits or ends of lines , and thus are no part of the lines themselves , it is evident that they have no length , - they are not long nor wide nor thick . Points may be ...
... extremities , of lines are called Points . As they mark merely the limits or ends of lines , and thus are no part of the lines themselves , it is evident that they have no length , - they are not long nor wide nor thick . Points may be ...
Σελίδα 20
... extremities of any side , their sum will be less than that of the other two sides . ' B4 A D E C Let E be any point within the triangle A B C ; and from this point let B E and E C be drawn to the extremities of any side , as B C : then ...
... extremities of any side , their sum will be less than that of the other two sides . ' B4 A D E C Let E be any point within the triangle A B C ; and from this point let B E and E C be drawn to the extremities of any side , as B C : then ...
Σελίδα 29
... extremities of any side , is greater than the angle contained by the other two sides of the triangle . ( See Ex . 4. ) THEOREM XIII . In any triangle , the greater angle lies opposite the greater side . Let A B C be a triangle having ...
... extremities of any side , is greater than the angle contained by the other two sides of the triangle . ( See Ex . 4. ) THEOREM XIII . In any triangle , the greater angle lies opposite the greater side . Let A B C be a triangle having ...
Σελίδα 37
... extremities of the line . 2. Any point outside of the perpendicular will be unequally distant from the extremities of the line . Let A B be the given line , C its middle point , EF the perpendicu- lar , P any point in the perpendicu ...
... extremities of the line . 2. Any point outside of the perpendicular will be unequally distant from the extremities of the line . Let A B be the given line , C its middle point , EF the perpendicu- lar , P any point in the perpendicu ...
Σελίδα 38
... extremities of another line , it will be perpendicular to that line at its A E F -B middle point . Suggestion.- By the Theorem just proved , EF , a perpendicular through the middle point of A B , includes all the points equally distant ...
... extremities of another line , it will be perpendicular to that line at its A E F -B middle point . Suggestion.- By the Theorem just proved , EF , a perpendicular through the middle point of A B , includes all the points equally distant ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and C D ABCD adjacent angles angle equal apothem bisect central angles centre circle whose radius circumference coincide construct convex surface cylinder diagonals diameter distance divided draw drawn equal altitudes equal bases equal circles equally distant equiangular EXERCISES feet frustum generatrix given angle given circle given line given point greater Hence homologous sides hypotenuse included angle inscribed angle inscribed circle interior angles intersect isosceles triangle lune number of sides oblique parallel parallelogram parallelopiped perimeter perpendicular plane prism Prob proportional pyramid Q. E. D. Cor Q. E. F quadrilateral QUERIES radii ratio rectangle regular polygon right cone right triangle Scholium secant segments similar slant height sphere spherical triangle square straight line tangent triangle A B C vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 18 - if two triangles have two sides of the one equal to two sides of the...
Σελίδα 110 - In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon it.
Σελίδα 13 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 107 - 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, they are equal in all their parts.
Σελίδα 24 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 38 - If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.
Σελίδα 42 - If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let bc=ad.
Σελίδα 232 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Σελίδα 14 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα x - AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal.