The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 σελίδες |
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Αποτελέσματα 1 - 5 από τα 84.
Σελίδα 2
... drawn on paper or on the blackboard , will have breadth and thickness , and hence will not be a real line . Yet the line which we draw may be taken to represent the real line . 7. We have considered a surface as the boundary of a solid ...
... drawn on paper or on the blackboard , will have breadth and thickness , and hence will not be a real line . Yet the line which we draw may be taken to represent the real line . 7. We have considered a surface as the boundary of a solid ...
Σελίδα 12
... drawn from any one point to any other point . 2. That a terminated straight line may be produced to any distance in a straight line . 3. That a circle may be described with any centre , at any distance from that centre . AXIOMS . 46. 1 ...
... drawn from any one point to any other point . 2. That a terminated straight line may be produced to any distance in a straight line . 3. That a circle may be described with any centre , at any distance from that centre . AXIOMS . 46. 1 ...
Σελίδα 18
... drawn to that line ; and this perpen- dicular is the shortest distance from the point to the line . Hyp . Let AB be the given st . line , P the point without the line , PC a from P to AB , and PD any other line from P to AB . ( 1 ) To ...
... drawn to that line ; and this perpen- dicular is the shortest distance from the point to the line . Hyp . Let AB be the given st . line , P the point without the line , PC a from P to AB , and PD any other line from P to AB . ( 1 ) To ...
Σελίδα 19
... drawn from a point to a straight line , cutting off equal distances from the foot of the perpen- dicular , are equal . A Hyp . Let CD be the from C to the line EF , and CA and CB two oblique lines so that AD = DB . To prove CA : CB ...
... drawn from a point to a straight line , cutting off equal distances from the foot of the perpen- dicular , are equal . A Hyp . Let CD be the from C to the line EF , and CA and CB two oblique lines so that AD = DB . To prove CA : CB ...
Σελίδα 20
... drawn to the ends of a straight line , their sum will be greater than the sum of two other lines similarly drawn , but included by them . E B Hyp . Let AB , AC be two lines drawn from the point A to the ends of the line BC , and DB , DC ...
... drawn to the ends of a straight line , their sum will be greater than the sum of two other lines similarly drawn , but included by them . E B Hyp . Let AB , AC be two lines drawn from the point A to the ends of the line BC , and DB , DC ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angles are equal base bisect bisector called centre chord circumference circumscribed coincide common cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Σελίδα 188 - 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 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Σελίδα 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Σελίδα 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Σελίδα 206 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Σελίδα 97 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.
Σελίδα 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.