Elementary GeometryJ.B. Lippincott Company, 1893 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 47
... 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.
... 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.
Σελίδα 48
... = EAB ( homologous of equal A ) . EDC and EAB are alt . - int . L. CD is || to AB , CD = AB , ABCD is a Prop . XXIV . Proved above . Prop . XXX . Q. E. D. EXERCISES ON BOOK I. 1. THE straight line AE which 48 ELEMENTS OF GEOMETRY .
... = EAB ( homologous of equal A ) . EDC and EAB are alt . - int . L. CD is || to AB , CD = AB , ABCD is a Prop . XXIV . Proved above . Prop . XXX . Q. E. D. EXERCISES ON BOOK I. 1. THE straight line AE which 48 ELEMENTS OF GEOMETRY .
Σελίδα 51
... meet in a point . 23. If from the diagonal BD of a square ABCD , BE is cut off equal to BC , and EF is drawn per- pendicular to BD , then DE = EF = FC . A D E F B 24. In a trapezoid , the straight line joining the BOOK I. 51.
... meet in a point . 23. If from the diagonal BD of a square ABCD , BE is cut off equal to BC , and EF is drawn per- pendicular to BD , then DE = EF = FC . A D E F B 24. In a trapezoid , the straight line joining the BOOK I. 51.
Σελίδα 53
... ABCD , the straight lines BE , DF , trisect the diagonal AC ( Exercise 28 ) . 34. The four bisectors of the angles of a quadrilateral form a second quad- rilateral , the opposite angles of which are supplementary . If the first ...
... ABCD , the straight lines BE , DF , trisect the diagonal AC ( Exercise 28 ) . 34. The four bisectors of the angles of a quadrilateral form a second quad- rilateral , the opposite angles of which are supplementary . If the first ...
Σελίδα 68
... ABCD . AC is clearly less than twice AB ; i.e. , than AB + BC . Lay off on AC AB ' , equal to AB . Our problem is now D A B B B = reduced to finding a common measure of B'C and AB , or its equal , CB . Erect at B ' a perpendicular B'A ...
... ABCD . AC is clearly less than twice AB ; i.e. , than AB + BC . Lay off on AC AB ' , equal to AB . Our problem is now D A B B B = reduced to finding a common measure of B'C and AB , or its equal , CB . Erect at B ' a perpendicular B'A ...
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.