Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 86.
Σελίδα 83
... Radius of the circle . OB , Fig . 1 , is a radius of the circle AEDC . 176. A straight line which passes through the center of a circle , and whose extremities are in the circumference , is called a Diameter of the circle . E AD and EC ...
... Radius of the circle . OB , Fig . 1 , is a radius of the circle AEDC . 176. A straight line which passes through the center of a circle , and whose extremities are in the circumference , is called a Diameter of the circle . E AD and EC ...
Σελίδα 89
... radius perpen- dicular to the chord . How does this radius divide the chord ? How does it divide the arc subtended by the chord ? Theorem . A radius which is perpendicular to a chord bisects the chord and its subtended arc . Data : A ...
... radius perpen- dicular to the chord . How does this radius divide the chord ? How does it divide the arc subtended by the chord ? Theorem . A radius which is perpendicular to a chord bisects the chord and its subtended arc . Data : A ...
Σελίδα 94
... radius at its extremity . Is this line a tangent or a secant ? 2. Draw a tangent to a circle and a radius to the point of contact . What kind of an angle is formed by these lines ? Theorem . A line perpendicular to a radius at its ex ...
... radius at its extremity . Is this line a tangent or a secant ? 2. Draw a tangent to a circle and a radius to the point of contact . What kind of an angle is formed by these lines ? Theorem . A line perpendicular to a radius at its ex ...
Σελίδα 95
... radius OE . § 205 , 198 , I. OE LAB ; OECD ; arc CE arc DE . When both AB and CD are chords . EF AB , and tangent to the circum- at G. G E- A 0 $ 80 , EF CD , arc CG arc DG , arc AG arc BG ; 3 , arc CA arc DB . III . When AB and CD are ...
... radius OE . § 205 , 198 , I. OE LAB ; OECD ; arc CE arc DE . When both AB and CD are chords . EF AB , and tangent to the circum- at G. G E- A 0 $ 80 , EF CD , arc CG arc DG , arc AG arc BG ; 3 , arc CA arc DB . III . When AB and CD are ...
Σελίδα 96
... radius equal to the distance 04 , passes through the points A , B , and C ' ; and , since the perpendiculars intersect in but one point , there can be but one center , and consequently but one cir- cumference passing through the points ...
... radius equal to the distance 04 , passes through the points A , B , and C ' ; and , since the perpendiculars intersect in but one point , there can be but one center , and consequently but one cir- cumference passing through the points ...
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.