A Treatise on Elementary Geometry: With Appendices Containing a Collection of Exercises for Students and an Introduction to Modern GeometryJ.B. Lippincott, 1872 - 368 σελίδες |
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Σελίδα 10
... definition ( which is the most common one ) may be admitted as expressing such a first conception ; but since we can ... Definitions . Geometry may be defined as the science 10 GEOMETRY .
... definition ( which is the most common one ) may be admitted as expressing such a first conception ; but since we can ... Definitions . Geometry may be defined as the science 10 GEOMETRY .
Σελίδα 11
... Definitions . Geometry may be defined as the science of extension and position . More specifically , it is the science which treats of the construction of figures under given conditions , of their measurement , and of their properties ...
... Definitions . Geometry may be defined as the science of extension and position . More specifically , it is the science which treats of the construction of figures under given conditions , of their measurement , and of their properties ...
Σελίδα 13
... Definition . An angle is a figure formed by two straight lines drawn from the same point ; thus OA , OB form an angle at O. The lines OA , OB are called the sides of the angle ; the common point O , its vertex . B نے B An isolated angle ...
... Definition . An angle is a figure formed by two straight lines drawn from the same point ; thus OA , OB form an angle at O. The lines OA , OB are called the sides of the angle ; the common point O , its vertex . B نے B An isolated angle ...
Σελίδα 14
... Definition . When one straight line meets another , so as to make two adjacent angles equal , each of these angles is called a right angle ; and the first line is said to be perpendicular to the second . Thus , if AOC and BOC are equal ...
... Definition . When one straight line meets another , so as to make two adjacent angles equal , each of these angles is called a right angle ; and the first line is said to be perpendicular to the second . Thus , if AOC and BOC are equal ...
Σελίδα 15
... definition ( 8 ) , and no proof is necessary . Ꭰ . C If they are not equal , as AOD and BOD , still the sum of AOD and BOD is equal to two right angles . For , let OC be drawn at O perpendicular to AB . The angle AOD is the sum of the ...
... definition ( 8 ) , and no proof is necessary . Ꭰ . C If they are not equal , as AOD and BOD , still the sum of AOD and BOD is equal to two right angles . For , let OC be drawn at O perpendicular to AB . The angle AOD is the sum of the ...
Άλλες εκδόσεις - Προβολή όλων
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... William Chauvenet Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... William Chauvenet Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC² adjacent angles altitude apothem base bisects centre of similitude chord circumference circumscribed coincide common cone Corollary cylinder Definition denote diagonals diameter dicular diedral angle distance divided draw edges equally distant equilateral equivalent exterior angle faces figure find the locus frustum given circles given plane given point given straight line hence homologous hypotenuse indefinitely inscribed angle isosceles Let ABC measure medial lines middle point number of sides one-half opposite sides parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN plane passed polar pole polyedral angle polyedron prism PROPOSITION pyramid quadrilateral radical axis radii radius rectangle regular polygon respectively right angles right triangle Scholium secant segment similar sphere spherical polygon square straight line drawn straight line joining surface symmetrical tangent tetraedron theorem three given triangle ABC triedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 128 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 348 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Σελίδα 19 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Σελίδα 79 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Σελίδα 29 - The sum of the three angles of any triangle is equal to two right angles.
Σελίδα 175 - 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 263 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Σελίδα 219 - 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 197 - A right prism is a prism •whose lateral edges are perpendicular to the planes of the bases.
Σελίδα 127 - Any two rectangles are to each other as the products of their bases by their altitudes. Let R and R...