Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Σελίδα 4
... consequently teachers are expected to make selections from the lists given . The exercises are carefully graded so that the more difficult ones come at the end of each list . These may be omitted at the first reading and reserved for a ...
... consequently teachers are expected to make selections from the lists given . The exercises are carefully graded so that the more difficult ones come at the end of each list . These may be omitted at the first reading and reserved for a ...
Σελίδα 6
... consequently teachers are expected to make selections from the lists given . The exercises are carefully graded so that the more difficult ones come at the end of each list . These may be omitted at the first reading and reserved for a ...
... consequently teachers are expected to make selections from the lists given . The exercises are carefully graded so that the more difficult ones come at the end of each list . These may be omitted at the first reading and reserved for a ...
Σελίδα 11
... Consequently , a curved line changes its direc- tion at every point . 12. A line made up of several straight lines which have different directions is called a Broken Line . 13. A line made up of straight and curved lines is called a ...
... Consequently , a curved line changes its direc- tion at every point . 12. A line made up of several straight lines which have different directions is called a Broken Line . 13. A line made up of straight and curved lines is called a ...
Σελίδα 22
... Consequently , the line EF falls upon the line BC , Hence , § 36 , and DEF coincides with Z ABC . ABC and DEF are equal . Therefore , all right angles are equal . 53. Cor . I. All straight angles are equal . Q.E.D. 54. Cor . II . The ...
... Consequently , the line EF falls upon the line BC , Hence , § 36 , and DEF coincides with Z ABC . ABC and DEF are equal . Therefore , all right angles are equal . 53. Cor . I. All straight angles are equal . Q.E.D. 54. Cor . II . The ...
Σελίδα 29
... Consequently , EF CD . Therefore , etc. , Q.E.D. Ex . 18. Two lines are drawn each parallel to AB , and another line mak- ing an angle of 90 ° with AB . What is the direction of this line with refer- ence to each of the other two lines ...
... Consequently , EF CD . Therefore , etc. , Q.E.D. Ex . 18. Two lines are drawn each parallel to AB , and another line mak- ing an angle of 90 ° with AB . What is the direction of this line with refer- ence to each of the other two lines ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle formed angles are equal angles compare apothem arc intercepted base bisector bisects called central angle chord circle whose center circumference circumscribed compare in length Construct a triangle Data diagonals diameter dihedral angles distance divide equal circles equidistant equilateral triangle equivalent exterior extremities Find the locus frustum given line given point given straight line Hence homologous homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane prism produced Proof proportion prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angles right triangle secant segment similar sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 103 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 65 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 62 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 81 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 31 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 88 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.