Elementary GeometryJ.B. Lippincott Company, 1893 |
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Αποτελέσματα 1 - 5 από τα 80.
Σελίδα 14
... parallel . TRIANGLES . 6. Definitions . A plane triangle is a portion of a plane bounded by three intersecting straight lines ; as ABC . The sides of the triangle are the portions of the bounding lines included between the points of ...
... parallel . TRIANGLES . 6. Definitions . A plane triangle is a portion of a plane bounded by three intersecting straight lines ; as ABC . The sides of the triangle are the portions of the bounding lines included between the points of ...
Σελίδα 15
... be drawn having any given direction . 9. Axiom I. A straight line is the shortest line that can be drawn between two points . Axiom II . Parallel lines have the same direction . PROPOSITION I. - THEOREM . 10. At a given point BOOK I. 15.
... be drawn having any given direction . 9. Axiom I. A straight line is the shortest line that can be drawn between two points . Axiom II . Parallel lines have the same direction . PROPOSITION I. - THEOREM . 10. At a given point BOOK I. 15.
Σελίδα 34
... parallel . For , if AB and CD are not parallel , they must meet if produced ; but this is impos- sible , for in that case we should have two perpendiculars from their E с A D B point of meeting to the same straight line EF , which is ...
... parallel . For , if AB and CD are not parallel , they must meet if produced ; but this is impos- sible , for in that case we should have two perpendiculars from their E с A D B point of meeting to the same straight line EF , which is ...
Σελίδα 35
... parallel . Suggestion . Suppose them to meet ; v . Postulate II . 2. Theorem . - Lines parallel to the same line are parallel to each other . 43. Definitions . When two straight lines AB , CD , are cut by a third EF , the eight angles ...
... parallel . Suggestion . Suppose them to meet ; v . Postulate II . 2. Theorem . - Lines parallel to the same line are parallel to each other . 43. Definitions . When two straight lines AB , CD , are cut by a third EF , the eight angles ...
Σελίδα 36
... parallel . Let the line AB cut the lines CD and EF , making the alternate - interior angles CAB and ABF equal ; then are CD and EF parallel . Through G , the middle point of AB , draw GH per- pendicular to CD , and cut- ting EF in I ...
... parallel . Let the line AB cut the lines CD and EF , making the alternate - interior angles CAB and ABF equal ; then are CD and EF parallel . Through G , the middle point of AB , draw GH per- pendicular to CD , and cut- ting EF in I ...
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.