Plane and Solid Geometry: Suggestive MethodTracy, Gibbs, 1894 - 395 σελίδες |
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Αποτελέσματα 1 - 5 από τα 75.
Σελίδα 9
... line is the shortest distance between two points . 11. If two straight lines ... lines can inter- sect in only one point , and second , but one straight line ... parallel . Ils parallels . A triangle . As triangles . Ax . axiom . Cons ...
... line is the shortest distance between two points . 11. If two straight lines ... lines can inter- sect in only one point , and second , but one straight line ... parallel . Ils parallels . A triangle . As triangles . Ax . axiom . Cons ...
Σελίδα 40
... line , are parallel . C ...... B D Let A C and B D represent two lines , each perpendicu- lar to the same line , A B , at the points A and B respec- tively . To prove that A C and B D are parallel . SUG . 1. The lines AC and B D will ...
... line , are parallel . C ...... B D Let A C and B D represent two lines , each perpendicu- lar to the same line , A B , at the points A and B respec- tively . To prove that A C and B D are parallel . SUG . 1. The lines AC and B D will ...
Σελίδα 41
... lines ; as the line A B in the figure . When a transversal cuts two lines eight angles are formed , viz .; the ... parallel . If they are not parallel , and are extended until they meet , then the two lines , together with the ...
... lines ; as the line A B in the figure . When a transversal cuts two lines eight angles are formed , viz .; the ... parallel . If they are not parallel , and are extended until they meet , then the two lines , together with the ...
Σελίδα 42
... line can be drawn through a given point parallel to a given line . PROPOSITION XVII . THEOREM . 85. If one of two parallel lines is perpendicular to a given line , the other one is perpendicular to the same line . A , E M B D etrines ...
... line can be drawn through a given point parallel to a given line . PROPOSITION XVII . THEOREM . 85. If one of two parallel lines is perpendicular to a given line , the other one is perpendicular to the same line . A , E M B D etrines ...
Σελίδα 43
... parallel lines are cut by a transversal , the alternate interior angles are equal . A CE M- -N F R- P D B ? Let M N and R P represent two parallel lines cut by the secant A B. I. To prove that the alternate interior angles ME B and AFP ...
... parallel lines are cut by a transversal , the alternate interior angles are equal . A CE M- -N F R- P D B ? Let M N and R P represent two parallel lines cut by the secant A B. I. To prove that the alternate interior angles ME B and AFP ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and C D A B C and D E F A B sustain A C equals adjacent angles altitude angles are equal apothem arc A B bisects chord circumference circumscribed Compare the ratios Compare Zs construct COROLLARY cylinder diagonal diameter dihedral angles distance draw drawn equal circles equal in area equally distant equals the ratio frustum Give auth given line given point Hence hypotenuse inscribed angle intersect isosceles triangle lateral area lateral edges Let A B C represent line A B locus middle point number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane M N polyhedron prism Prop PROPOSITION XVIII pyramid radii radius rectangle regular polygon respectively right angles right triangle SCHOLIUM segment slant height sphere spherical polygon spherical triangle subtended tangent THEOREM triangles A B C trihedral unit of measure vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 137 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Σελίδα 48 - If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Σελίδα 138 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 59 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!
Σελίδα 292 - ADC ; the last two are therefore right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is perpendicular to the base, and bisects the vertical angle.
Σελίδα 211 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane. Thus, A'B' represents the projection of AB upon plane MN.
Σελίδα 119 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 96 - It is read the ratio of a to b equals the ratio of c to d, or briefly, a is to b as c is to d.
Σελίδα 254 - 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...
Σελίδα 263 - That is, the lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of the radii of their bases.