Elementary GeometryJ.B. Lippincott Company, 1893 |
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Αποτελέσματα 1 - 5 από τα 42.
Σελίδα 55
... of its cir- cumference ; as DEF . A chord is any straight line joining two points of the cir- cumference ; as DF . The arc DEF is said to be subtended by its chord DF . Every chord subtends two arcs , which together make up 55 BOOK II.
... of its cir- cumference ; as DEF . A chord is any straight line joining two points of the cir- cumference ; as DF . The arc DEF is said to be subtended by its chord DF . Every chord subtends two arcs , which together make up 55 BOOK II.
Σελίδα 56
... chord are spoken of , the arc less than a semi - circumference , as DEF , is always understood , unless otherwise stated . D E F B A A segment is a portion of the circle included between an arc and its chord ; thus , by the segment DEF ...
... chord are spoken of , the arc less than a semi - circumference , as DEF , is always understood , unless otherwise stated . D E F B A A segment is a portion of the circle included between an arc and its chord ; thus , by the segment DEF ...
Σελίδα 58
... chords . Let O , O ' , be the centres of equal circles , and AB , A'B ' , equal arcs ; then the chords AB , A'B ' , are equal . For , drawing the radii to the extremities of the 58 ELEMENTS OF GEOMETRY .
... chords . Let O , O ' , be the centres of equal circles , and AB , A'B ' , equal arcs ; then the chords AB , A'B ' , are equal . For , drawing the radii to the extremities of the 58 ELEMENTS OF GEOMETRY .
Σελίδα 59
... chord , the arcs being each less than a semi - circumference . Let the arc AC be greater than the arc AB ; then the chord AC is greater than the chord AB . Superpose the arc AB upon the arc AC , placing centre upon cen- tre and A upon A ...
... chord , the arcs being each less than a semi - circumference . Let the arc AC be greater than the arc AB ; then the chord AC is greater than the chord AB . Superpose the arc AB upon the arc AC , placing centre upon cen- tre and A upon A ...
Σελίδα 60
... chord AC is greater than the chord AB . 14. COROLLARY . Conversely , in M M C B equal circles , or in the same circle , the greater of two unequa chords subtends the greater arc . Suggestion . v . Proposition XV . , Book I. PROPOSITION ...
... chord AC is greater than the chord AB . 14. COROLLARY . Conversely , in M M C B equal circles , or in the same circle , the greater of two unequa chords subtends the greater arc . Suggestion . v . Proposition XV . , Book I. PROPOSITION ...
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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.