Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 60.
Σελίδα 8
... adjacent angles . A B Thus in the figure the angle BAC and the angle CAD are adjacent angles . 13. Suppose that on a straight line AB we choose any point C , and from it draw another straight line CD ( Fig . 1 ) . This line makes two ...
... adjacent angles . A B Thus in the figure the angle BAC and the angle CAD are adjacent angles . 13. Suppose that on a straight line AB we choose any point C , and from it draw another straight line CD ( Fig . 1 ) . This line makes two ...
Σελίδα 9
... adjacent angles BCD and ACD equal , then each of these equal angles is called a right angle , and CD is said to be at right angles to AB , or perpendicular to AB . B DEFINITION . If one straight line meets another so as to make the two ...
... adjacent angles BCD and ACD equal , then each of these equal angles is called a right angle , and CD is said to be at right angles to AB , or perpendicular to AB . B DEFINITION . If one straight line meets another so as to make the two ...
Σελίδα 10
... adjacent angles is a right angle , and their sum is , therefore , two right angles . Hence in whatever position the line CD is drawn the sum of the two adjacent angles BCD and ACD is always equal to two right angles . If the line CD ...
... adjacent angles is a right angle , and their sum is , therefore , two right angles . Hence in whatever position the line CD is drawn the sum of the two adjacent angles BCD and ACD is always equal to two right angles . If the line CD ...
Σελίδα 12
... adjacent , that is , so that their vertices will coincide and one boundary of one will fall on one boundary of the other , while the angles do not overlap . The other boundaries 40 and OB must then be parts 12 [ INTROD ELEMENTARY GEOMETRY.
... adjacent , that is , so that their vertices will coincide and one boundary of one will fall on one boundary of the other , while the angles do not overlap . The other boundaries 40 and OB must then be parts 12 [ INTROD ELEMENTARY GEOMETRY.
Σελίδα 13
... adjacent angles are supplementary , their outer boundaries lie in the same straight line . ON CLOSED LINES 23. By a closed line we mean one that can be followed with a pencil or a pen , starting from any point of it and returning to the ...
... adjacent angles are supplementary , their outer boundaries lie in the same straight line . ON CLOSED LINES 23. By a closed line we mean one that can be followed with a pencil or a pen , starting from any point of it and returning to the ...
Άλλες εκδόσεις - Προβολή όλων
Elementary Geometry, Plane and Solid; for Use in High Schools and Academies Thomas F 1859-1945 Holgate Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Elementary Geometry Plane and Solid: For Use in High Schools and Academies Thomas F. Holgate Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC² adjacent angles altitude angle formed angles are equal apothem base bisector bisects centre chord coincide convex convex polygon COROLLARY DEFINITION diagonals diameter dicular dihedral angle draw equal angles equal in area equiangular equidistant equilateral triangle EXERCISES face angles figure given circle given line-segment given plane given point given straight line greater Hence hypotenuse identically equal interior angles isosceles triangle length Let ABC line perpendicular magnitudes measure mid-point number of sides opposite sides pair parallel planes parallelepiped parallelogram perimeter perpen plane angles point of contact point of intersection polyhedral angle polyhedron prism Proof Prop Proposition VIII pyramid quadrilateral radii radius ratio rectangle regular polygon required to prove respectively right angles right triangle segments side BC similar sphere square subtended supplementary angle surface tangent tetrahedron theorem triangle ABC triangle is equal trihedral vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 187 - 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.
Σελίδα 230 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Σελίδα 55 - 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 76 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Σελίδα 43 - Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.
Σελίδα 231 - A polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a, pentagon; one of six sides, a hexagon ; one of seven sides, a heptagon ; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon.
Σελίδα 27 - 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.
Σελίδα 200 - The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 161 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 229 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.