Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric TablesD. Appleton & Company, 1856 - 235 σελίδες |
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Αποτελέσματα 1 - 5 από τα 70.
Σελίδα v
... parallels . Construction of polygons .. Of contact Of common measure 42 47 51 • 57 61 • 66 69 70 Definitions . Proportional lines Similar triangles • THIRD BOOK . 73 74 1717 Similar polygons Proportional lines -- properties of the sides of.
... parallels . Construction of polygons .. Of contact Of common measure 42 47 51 • 57 61 • 66 69 70 Definitions . Proportional lines Similar triangles • THIRD BOOK . 73 74 1717 Similar polygons Proportional lines -- properties of the sides of.
Σελίδα 3
... common to the two lines . Since a point results from the meeting of two lines , and any line may be met by an infinite number of other distinct lines , it follows that Any line may be regarded as having an infinite number of points . 2 ...
... common to the two lines . Since a point results from the meeting of two lines , and any line may be met by an infinite number of other distinct lines , it follows that Any line may be regarded as having an infinite number of points . 2 ...
Σελίδα 5
... common . Or , in other words , two points determine the position of a straight line . We also infer that two distinct straight lines can intersect or meet each other in only one point . THE PLANE . 6. The plane surface , or , as usually ...
... common . Or , in other words , two points determine the position of a straight line . We also infer that two distinct straight lines can intersect or meet each other in only one point . THE PLANE . 6. The plane surface , or , as usually ...
Σελίδα 6
... common with the plane , lies wholly in this plane . Hence , a straight line cannot be partly in a plane and partly out of it . When a straight line has only one point in common with a plane , it is said to meet or pierce the plane , and ...
... common with the plane , lies wholly in this plane . Hence , a straight line cannot be partly in a plane and partly out of it . When a straight line has only one point in common with a plane , it is said to meet or pierce the plane , and ...
Σελίδα 8
... common with beginners , and against which they should be constantly on their guard . The first is called , Reasoning in a circle . The second is called , Begging the question . We are said to reason in a circle when , in the ...
... common with beginners , and against which they should be constantly on their guard . The first is called , Reasoning in a circle . The second is called , Begging the question . We are said to reason in a circle when , in the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c altitude apothem bisect centre chord circumference circumscribed cone consequently corresponding cosec Cosine Cotang cube cubic cylinder decimal denote diameter dicular divided draw drawn equation equivalent exterior angles feet figure frustum Geom give greater half hence hypotenuse inches intersection logarithm measure multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right-angled triangle Scholium secant sector similar similar triangles Sine slant height solid solve the triangle sphere spherical triangle square straight line subtract suppose surface Tang tangent THEOREM three sides triangle ABC triangular prism volume ΙΟ
Δημοφιλή αποσπάσματα
Σελίδα 35 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 80 - The areas of two triangles which have 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 139 - 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 17 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Σελίδα 176 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 182 - Every section of a sphere, made by a plane, is a circle.
Σελίδα 28 - 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. Given A ABC and A'B'C ' with Proof STATEMENTS Apply A A'B'C ' to A ABC so that A'B
Σελίδα 165 - ... bases simply : hence two prisms of the same altitude are to each other as their bases. For a like reason, two prisms of the same base are to each other as their altitudes.
Σελίδα 29 - ... to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is.
Σελίδα 13 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.