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 each other . 2. If equals are added to equals , the sums are equal . 3. If equals are taken from equals , the remainders are equal . 4. If equals are added to unequals , the sums are unequal . 5. If ...
... equal to the same thing are equal to each other . 2. If equals are added to equals , the sums are equal . 3. If equals are taken from equals , the remainders are equal . 4. If equals are added to unequals , the sums are unequal . 5. If ...
Σελίδα 22
... equal . Data : Any right angles , as ABC and DEF . To prove angles ABC and DEF equal . Proof . A B D E H 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 of ...
... equal . Data : Any right angles , as ABC and DEF . To prove angles ABC and DEF equal . Proof . A B D E H 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 of ...
Σελίδα 24
... equal to four right angles , or two straight angles . E F- B Ex . 7. One line meets another , making two angles with ... 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 . E F- B Ex . 7. One line meets another , making two angles with ... 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 ...
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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 cylinder Data diagonals diameter dihedral angles distance divided equal circles equidistant equilateral triangle equivalent exterior angle extremities FGHJK Find the locus frustum given line given point given straight line Hence homologous sides hypotenuse inscribed angle intersecting isosceles trapezoid isosceles triangle measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane polyhedron prism produced Proof prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angle right triangle secant segments sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 67 - 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 47 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 64 - 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 33 - 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 219 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 217 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Σελίδα 136 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Σελίδα 90 - 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.
Σελίδα 374 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 176 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.