Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα 9
... represented as having three dimensions . FIG . 1 . 4. The limit of a solid , or the boundary which separates it from all surrounding space , is called a Surface . A surface has only two dimensions , length and breadth . A page of a book ...
... represented as having three dimensions . FIG . 1 . 4. The limit of a solid , or the boundary which separates it from all surrounding space , is called a Surface . A surface has only two dimensions , length and breadth . A page of a book ...
Σελίδα 11
... represented to the eye by draw- ings or objects . 17. A figure formed by points and lines in the same plane is called a Plane Figure . 18. A figure formed by straight or right lines only is called a Rectilinear Figure . 19. The science ...
... represented to the eye by draw- ings or objects . 17. A figure formed by points and lines in the same plane is called a Plane Figure . 18. A figure formed by straight or right lines only is called a Rectilinear Figure . 19. The science ...
Σελίδα 16
... represent by a drawing any figure that may be re- quired so that it may simply appear to the eye to be accurate . Geometrical methods of construction are given at suitable points in the book , but they cannot be insisted upon at this ...
... represent by a drawing any figure that may be re- quired so that it may simply appear to the eye to be accurate . Geometrical methods of construction are given at suitable points in the book , but they cannot be insisted upon at this ...
Σελίδα 27
... represents any line from P to AB other than PC , PC is the only perpendicular that can be drawn to AB from P. Therefore , etc. Q.E.D. 61. Cor . A perpendicular is the shortest line that can be drawn from a point to a line . 1. Since PCF ...
... represents any line from P to AB other than PC , PC is the only perpendicular that can be drawn to AB from P. Therefore , etc. Q.E.D. 61. Cor . A perpendicular is the shortest line that can be drawn from a point to a line . 1. Since PCF ...
Σελίδα 58
... representing the distances of the point F from AB and CB respectively . § 26 , Then , in the rt . △ BFE and BFG , Zrands are rt . s . BF is common , < t = / v ; ABFE FE = FG ; BFG , and , data , .. § 114 , and , § 108 , that is ...
... representing the distances of the point F from AB and CB respectively . § 26 , Then , in the rt . △ BFE and BFG , Zrands are rt . s . BF is common , < t = / v ; ABFE FE = FG ; BFG , and , data , .. § 114 , and , § 108 , that is ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle formed angles are equal angles compare apothem arc intercepted base bisector bisects called central angle chord circle whose center circumference circumscribed compare in length Construct a triangle Data diagonals diameter dihedral angles distance divide equal circles equidistant equilateral triangle equivalent exterior extremities Find the locus frustum given line given point given straight line Hence homologous homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane prism produced Proof proportion prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angles right triangle secant segment similar sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 103 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 65 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 62 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 81 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 31 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 88 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.