Plane and Solid GeometryAmerican Book Company, 1891 - 406 σελίδες |
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Αποτελέσματα 1 - 5 από τα 86.
Σελίδα 53
... EQUAL TRIANGLES . 105. I. DEFINITIONS . 2. PROPOSITIONS . PROP . I. If two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other , each to each , they are equal in all their ...
... EQUAL TRIANGLES . 105. I. DEFINITIONS . 2. PROPOSITIONS . PROP . I. If two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other , each to each , they are equal in all their ...
Σελίδα 54
... triangle are equal , the sides opposite them are equal , and the triangle is isosceles . PROP . IX . If a triangle is equiangular , it is also equilateral . PROP . X. Any exterior angle of a triangle is equal to the sum of the two ...
... triangle are equal , the sides opposite them are equal , and the triangle is isosceles . PROP . IX . If a triangle is equiangular , it is also equilateral . PROP . X. Any exterior angle of a triangle is equal to the sum of the two ...
Σελίδα 55
... triangle is equal to the supplement of the third angle ; and the supplement of any one angle of a triangle , diminished by either of the others , equals the third angle . PROP . XIX . The difference between any two angles of a triangle ...
... triangle is equal to the supplement of the third angle ; and the supplement of any one angle of a triangle , diminished by either of the others , equals the third angle . PROP . XIX . The difference between any two angles of a triangle ...
Σελίδα 57
... triangle ABC is included between the sides BA and B C , and the side B C , between the angles B and C. 120. Figures equal in all their parts , taken in the same order ... Theorem : If two triangles have two SECTION 1. - EQUAL TRIANGLES . 57.
... triangle ABC is included between the sides BA and B C , and the side B C , between the angles B and C. 120. Figures equal in all their parts , taken in the same order ... Theorem : If two triangles have two SECTION 1. - EQUAL TRIANGLES . 57.
Σελίδα 58
... equal to two sides and the included angle of the other , each to each , they are equal in all their parts . 3 5 6 Statement : Let the two triangles 123 and 4 5 6 have the side 1 2 ... Theorem : If two triangles have 58 BOOK II - TRIANGLES .
... equal to two sides and the included angle of the other , each to each , they are equal in all their parts . 3 5 6 Statement : Let the two triangles 123 and 4 5 6 have the side 1 2 ... Theorem : If two triangles have 58 BOOK II - TRIANGLES .
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles apothem AXIOM base and altitude bisect bisectrix chord circle whose center circumference circumscribed coincide Conclusion concurrent lines cone Construction Corollary cylinder Demonstration diagonals diameter dicular distance divided draw equal angles equal to half equally distant equiangular equilateral equivalent exterior extremities figure Find the locus frustum given line given point given straight line greater H Statement hypotenuse included angle interior angles intersection isosceles triangle lateral edges lateral surface line joining middle point MISCELLANEOUS EXERCISES number of sides oblique lines opposite sides parallelogram parallelopiped perimeter perpen perpendicular plane angles prism PROP PROPOSITION proved equal pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right-angled triangle Scholium secant SECTION segments similar slant height sphere spherical angle spherical triangle square tangent Theorem third side trapezoid triangle is equal trihedral angle unequal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 176 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Σελίδα 287 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 91 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 135 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 154 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the center; as the figure ADB E.
Σελίδα 76 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Σελίδα 293 - The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.
Σελίδα 139 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.
Σελίδα 53 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 111 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.