Plane and Solid Geometry |
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Αποτελέσματα 1 - 5 από τα 63.
Σελίδα
III . blue red or blue ( Sred To prove the opposite sides of the quadrilateral are
equal . 6 . Discourage mere memorizing . Many students form during the first
weeks of study the habit of relying too much upon their memories , a habit which
often ...
III . blue red or blue ( Sred To prove the opposite sides of the quadrilateral are
equal . 6 . Discourage mere memorizing . Many students form during the first
weeks of study the habit of relying too much upon their memories , a habit which
often ...
Σελίδα 4
A straight angle is an angle whose sides lie in the same straight line but extend >
B in opposite directions , as ACB . 31 . When two straight lines intersect so as to
form four equal angles , Feach angle is called a right angle , as EOD , DOF , etc .
A straight angle is an angle whose sides lie in the same straight line but extend >
B in opposite directions , as ACB . 31 . When two straight lines intersect so as to
form four equal angles , Feach angle is called a right angle , as EOD , DOF , etc .
Σελίδα 11
A polygon is a portion of a plane bounded by three or more straight lines , which
are termed sides , and whose sum is the ... A triangle having three unequal sides
is a scalene triangle . ... In a right triangle the side opposite the TRIANGLES 11.
A polygon is a portion of a plane bounded by three or more straight lines , which
are termed sides , and whose sum is the ... A triangle having three unequal sides
is a scalene triangle . ... In a right triangle the side opposite the TRIANGLES 11.
Σελίδα 12
In a right triangle the side opposite the right angle is called the hypotenuse , and
the other two sides , the arms . 67 . The three perpendiculars from the vertices of
a triangle to the opposite sides ( produced if necessary ) are called the altitudes ...
In a right triangle the side opposite the right angle is called the hypotenuse , and
the other two sides , the arms . 67 . The three perpendiculars from the vertices of
a triangle to the opposite sides ( produced if necessary ) are called the altitudes ...
Σελίδα 14
Two triangles are equal if two sides and the included angle of the one are equal
respectively to two sides and the ... If two lines bisect each other , and their
extremities are joined , four triangles are formed , of which those opposite each
other ...
Two triangles are equal if two sides and the included angle of the one are equal
respectively to two sides and the ... If two lines bisect each other , and their
extremities are joined , four triangles are formed , of which those opposite each
other ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle angles are equal base bisect bisector called chord circle circumference circumscribed coincide common cone construct contains corresponding cylinder diagonals diameter diedral angles difference distance divide draw drawn equal equidistant equivalent exterior angle faces figure Find formed four frustum geometrical given circle given line given point greater Hence homologous hypotenuse inches included inscribed intersecting isosceles triangle lateral edges length less limit line joining measured median meet midpoints opposite sides parallel parallel lines parallelogram passing perimeter perpendicular plane polyedron polygon prism PROBLEM Proof PROPOSITION prove pyramid quadrilateral radii radius ratio rectangle regular polygon respectively right angles right triangle School segments sides similar sphere spherical triangle square straight line surface tangent THEOREM third transform triangle triangle are equal vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 45 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 119 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 180 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 31 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 305 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.
Σελίδα 337 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Σελίδα 250 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.
Σελίδα 297 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Σελίδα 105 - I. When the given point, A, is in the circumference. HINT. — What is the angle formed by a radius and a tangent at its extremity ? II. When the given point, A, is without the circle. \ Construction. Join A, and 0 the center of the given circle. On OA as a diameter, construct a circumference, intersecting the given circumference in B and C.
Σελίδα 276 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. GM is a right section of oblique prism AD', and OM ' a right prism whose altitude is equal to a lateral edge of AD'. To prove AD' =s= GM'. Proof. The lateral edges of GM