The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 4
Webster Wells. 4 GEOMETRY . 1. Things which are equal to the same thing , or to equals , are equal to each other . 2. If the same operation be performed upon equals , the results will be equal . 3. But one straight line can be drawn ...
Webster Wells. 4 GEOMETRY . 1. Things which are equal to the same thing , or to equals , are equal to each other . 2. If the same operation be performed upon equals , the results will be equal . 3. But one straight line can be drawn ...
Σελίδα 6
... equal , each of the equal angles is called a right angle , and the lines are said to be perpendicular ( 1 ) to each other . Thus , if from point A in straight line CD line AB be drawn in such a way as to make angles BAC and BAD equal ...
... equal , each of the equal angles is called a right angle , and the lines are said to be perpendicular ( 1 ) to each other . Thus , if from point A in straight line CD line AB be drawn in such a way as to make angles BAC and BAD equal ...
Σελίδα 7
... equal . Let CE be this position ; then by the definition of § 24 , CE is perpendicular to AB . Hence , a perpendicular can be drawn to AB at C , and but one . 26. Cor . All right angles are equal . Let ABC and DEF be right angles . To ...
... equal . Let CE be this position ; then by the definition of § 24 , CE is perpendicular to AB . Hence , a perpendicular can be drawn to AB at C , and but one . 26. Cor . All right angles are equal . Let ABC and DEF be right angles . To ...
Σελίδα 8
... equal parts , called seconds . Degrees , minutes , and seconds are represented by the symbols ,,, " , respectively ... equal angles are equal . 2. The supplements of equal angles are equal . EXERCISES . 1. How many degrees are there in ...
... equal parts , called seconds . Degrees , minutes , and seconds are represented by the symbols ,,, " , respectively ... equal angles are equal . 2. The supplements of equal angles are equal . EXERCISES . 1. How many degrees are there in ...
Σελίδα 9
... equal to of a right angle ? 4. How many degrees are there in an angle whose supplement is equal to of its complement ? 5. Two angles are complementary , and the greater exceeds the less by 37 ° . How many degrees are there in each angle ...
... equal to of a right angle ? 4. How many degrees are there in an angle whose supplement is equal to of its complement ? 5. Two angles are complementary , and the greater exceeds the less by 37 ° . How many degrees are there in each angle ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit area ABC axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line equally distant equilateral equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 261 - The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane.
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 170 - 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 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Σελίδα 325 - A right circular cone may be generated by the revolution of a right triangle about one of its legs as an axis.