Elementary GeometryJ.B. Lippincott Company, 1893 |
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Αποτελέσματα 1 - 5 από τα 30.
Σελίδα 41
... parallelogram ( C ) , which is bounded by two pairs of parallel sides . The side upon which a parallelogram is B A supposed to stand and the opposite side are called its lower and upper bases . The perpendicular distance between the ...
... parallelogram ( C ) , which is bounded by two pairs of parallel sides . The side upon which a parallelogram is B A supposed to stand and the opposite side are called its lower and upper bases . The perpendicular distance between the ...
Σελίδα 42
... parallelogram are equal and the opposite angles are equal . Suggestion . Draw a diagonal AC . ACB and CAD are equal , by Proposition XXV . CAB and ACD are equal , by Proposition B XXV . Ꭰ Hence the triangles ABC and ADC are equal , by ...
... parallelogram are equal and the opposite angles are equal . Suggestion . Draw a diagonal AC . ACB and CAD are equal , by Proposition XXV . CAB and ACD are equal , by Proposition B XXV . Ꭰ Hence the triangles ABC and ADC are equal , by ...
Σελίδα 43
... parallelogram . Suggestion . Draw a diagonal , and prove the two triangles equal . PROPOSITION XXXII . - THEOREM . 63. The diagonals of a parallelogram bisect each other . Suggestion . The triangles AED and BEC are equal , by ...
... parallelogram . Suggestion . Draw a diagonal , and prove the two triangles equal . PROPOSITION XXXII . - THEOREM . 63. The diagonals of a parallelogram bisect each other . Suggestion . The triangles AED and BEC are equal , by ...
Σελίδα 44
... parallelogram . parallelograms . Q. E. D. quod erat demonstran- dum ( = which was to be proved ) . circle . circles . 65. In arranging a written demonstration , it is well 44 ELEMENTS OF GEOMETRY .
... parallelogram . parallelograms . Q. E. D. quod erat demonstran- dum ( = which was to be proved ) . circle . circles . 65. In arranging a written demonstration , it is well 44 ELEMENTS OF GEOMETRY .
Σελίδα 47
... a quadrilateral bisect each other , the figure is a parallelogram .回 B In the quadrilateral ABCD , let the diagonals AD and BC bisect each other . We are to prove ABCD a . In the AEB and CED we have CE = EB BOOK I. 47.
... a quadrilateral bisect each other , the figure is a parallelogram .回 B In the quadrilateral ABCD , let the diagonals AD and BC bisect each other . We are to prove ABCD a . In the AEB and CED we have CE = EB BOOK I. 47.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle BAC angles are equal apothem bisects centre chord coincide common cone construct convex Corollary cylinder Definition diagonal diameter dicular diedral angle distance divided draw equal circles equally distant equilateral equivalent Exercise find the locus frustum given circle given line given point given straight line greater Hence hypotenuse included angle inscribed angle intercepted arcs isosceles triangle lateral area lateral edges mean proportional middle point number of sides parallel lines parallelogram parallelopiped pass a plane pendicular perimeter perpen perpendicular plane MN plane passed polyedral angle Proposition VI Proposition VII quadrilateral radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right triangle Scholium secant secant line segment similar slant height sphere spherical polygon spherical triangle square surface tangent tetraedron Theorem triangle ABC triangles are equal triangular prism triedral upper base vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 127 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 196 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 131 - Two triangles having 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.
Σελίδα 245 - 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 278 - A lune is to the, surface of the sphere as the angle of the lune is to four right angles. Let...
Σελίδα 111 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Σελίδα 48 - The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point.
Σελίδα 57 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 34 - The sum of the three angles of any triangle is equal to two right angles.