Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 15
... equal to four right angles . FIG . 16 . Inasmuch as it is frequently convenient to employ a smaller unit of angular measure than a right angle , the entire angular mag- nitude about a point has been divided into 360 equal parts , called ...
... equal to four right angles . FIG . 16 . Inasmuch as it is frequently convenient to employ a smaller unit of angular measure than a right angle , the entire angular mag- nitude about a point has been divided into 360 equal parts , called ...
Σελίδα 19
... equal to the same thing are equal to If equals are added to equals , the sums are equal . If equals are taken from equals , the remainders are equal If equals are added to unequals , the sums are unequal . If equals are taken from ...
... equal to the same thing are equal to If equals are added to equals , the sums are equal . If equals are taken from equals , the remainders are equal If equals are added to unequals , the sums are unequal . If equals are taken from ...
Σελίδα 22
... equal . Data : Any right angles , as ABC and DEF . To prove angles ABC and DEF equal . A B D E F Proof . Suppose that △ DEF is placed upon △ ABC in such a way that the point E falls upon the point B and the line ED takes the direction ...
... equal . Data : Any right angles , as ABC and DEF . To prove angles ABC and DEF equal . A B D E F Proof . Suppose that △ DEF is placed upon △ ABC in such a way that the point E falls upon the point B and the line ED takes the direction ...
Σελίδα 24
... equal to four right angles , or two straight angles . A B Ex . 7. One line meets another , making two angles with it ... equal to two right angles . What kind of a line do their exterior sides form ? Theorem . If the sum of two adjacent ...
... equal to four right angles , or two straight angles . A B Ex . 7. One line meets another , making two angles with it ... equal to two right angles . What kind of a line do their exterior sides form ? Theorem . If the sum of two adjacent ...
Σελίδα 31
... equal . " Converse propositions cannot be assumed to be true . They may be true , but their truth must be ... equal ? Theorem . Two straight lines cut by a transversal are parallel , if the alternate interior angles are equal . ( Con ...
... equal . " Converse propositions cannot be assumed to be true . They may be true , but their truth must be ... equal ? Theorem . Two straight lines cut by a transversal are parallel , if the alternate interior angles are equal . ( Con ...
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.