Essentials of Solid GeometryGinn & Company, 1924 - 238 σελίδες |
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Αποτελέσματα 6 - 10 από τα 64.
Σελίδα 14
... vertex of the right angle to the hypotenuse of a right triangle is the mean propor- tional between the segments of the hypotenuse . b b is the mean proportional between a and c . If % = 0 % b 4. If through two sides of a triangle a line ...
... vertex of the right angle to the hypotenuse of a right triangle is the mean propor- tional between the segments of the hypotenuse . b b is the mean proportional between a and c . If % = 0 % b 4. If through two sides of a triangle a line ...
Σελίδα 15
... vertex , it is parallel to the third side . 7. Three or more parallel lines cut off proportional seg- ments on any two transversals . 8. The bisector of an angle of a triangle divides the opposite side into segments which are ...
... vertex , it is parallel to the third side . 7. Three or more parallel lines cut off proportional seg- ments on any two transversals . 8. The bisector of an angle of a triangle divides the opposite side into segments which are ...
Σελίδα 16
... vertex of the right angle of a right triangle to the hypotenuse divides the triangle into two triangles which are similar to the given triangle and to each other . 8. If two polygons are similar , they can be 16 BOOK VI REFERENCES TO ...
... vertex of the right angle of a right triangle to the hypotenuse divides the triangle into two triangles which are similar to the given triangle and to each other . 8. If two polygons are similar , they can be 16 BOOK VI REFERENCES TO ...
Σελίδα 29
... vertices of a triangle is the line through the center of the circumscribed circle , and per- pendicular to the plane of the triangle . We have first to prove ( § 19 , 1 ) that any point P on the LOY satis- fies the conditions ; that is ...
... vertices of a triangle is the line through the center of the circumscribed circle , and per- pendicular to the plane of the triangle . We have first to prove ( § 19 , 1 ) that any point P on the LOY satis- fies the conditions ; that is ...
Σελίδα 35
... vertices of a triangle perpendiculars are constructed upon the opposite sides . From the intersection of these ... vertex parallel to the opposite side . 4. Find the point in a plane to which lines may be drawn from two given ...
... vertices of a triangle perpendiculars are constructed upon the opposite sides . From the intersection of these ... vertex parallel to the opposite side . 4. Find the point in a plane to which lines may be drawn from two given ...
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABC and A'B'C altitude altitude h angles are equal axis bisects called chord circle circumscribed cone of revolution congruent conic surface Consider Ex Corollary corresponding cube cubic diagonal diameter dihedral angles distance Draw equivalent Exercises face angles Find the area Find the volume formed formula frustum given line given point Hence inches inscribed intersection isosceles lateral area lateral edges lateral faces line segment locus of points lower base measuring number of degrees oblique opposite parallel planes parallelogram perimeter perpendicular plane geometry plane passing pole polyhedral angles Proof Proposition Prove radii rectangular parallelepiped regular polygon regular polyhedrons regular pyramid right angles right circular cylinder Similarly slant height sphere of radius spherical degrees spherical excess spherical polygon spherical triangle straight line tangent tetrahedron Theorem third side total surface triangular prism trihedral upper base vertex vertices zone
Δημοφιλή αποσπάσματα
Σελίδα 7 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Σελίδα 40 - A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it.
Σελίδα 176 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 10 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Σελίδα 15 - 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 that side.
Σελίδα 77 - The height of a cone is the perpendicular distance from the vertex to the plane of the base.
Σελίδα 3 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
Σελίδα 24 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
Σελίδα 16 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 15 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.