A Treatise on Special Or Elementary GeometrySheldon, 1872 - 201 σελίδες |
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Σελίδα 4
... coincide . This line may be designated as the line AmnA , or AmnB . In the fourth case , there are three lines represented , which are designated , respectively , as AmB , AnB , and AcB ; or , the last , as AB . 15. Lines are of Two ...
... coincide . This line may be designated as the line AmnA , or AmnB . In the fourth case , there are three lines represented , which are designated , respectively , as AmB , AnB , and AcB ; or , the last , as AB . 15. Lines are of Two ...
Σελίδα 5
... coincide in any direction . Such a surface may always be conceived as the path of a straight line in motion . 21. A Curved Surface is a surface in which , if lines are conceived to be drawn in all directions , some or all of them will ...
... coincide in any direction . Such a surface may always be conceived as the path of a straight line in motion . 21. A Curved Surface is a surface in which , if lines are conceived to be drawn in all directions , some or all of them will ...
Σελίδα 17
... coincide and not intersect . Ex . 1. A railroad is to be run from the town A to town B. If it is made straight , through what points will it pass ? Can it pass through any points not in the same direction from A as B is ? Ex . 2. If I ...
... coincide and not intersect . Ex . 1. A railroad is to be run from the town A to town B. If it is made straight , through what points will it pass ? Can it pass through any points not in the same direction from A as B is ? Ex . 2. If I ...
Σελίδα 36
... coincide throughout their whole extent . Again , we will apply the line EF to the line GH . Taking the line EF ( think of it as a little rod which you can pick up and handle ) , put the point Ɛ upon G , and making the line EF take the ...
... coincide throughout their whole extent . Again , we will apply the line EF to the line GH . Taking the line EF ( think of it as a little rod which you can pick up and handle ) , put the point Ɛ upon G , and making the line EF take the ...
Σελίδα 37
... coincide ( fit ) in this way ? Ex . 2. Can you make the triangles in the last figure coincide by placing C upon D , and letting CA fall upon DF ? Where will A fall ? What line will fall on or near DE ? Will it fall without DE , or ...
... coincide ( fit ) in this way ? Ex . 2. Can you make the triangles in the last figure coincide by placing C upon D , and letting CA fall upon DF ? Where will A fall ? What line will fall on or near DE ? Will it fall without DE , or ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent adjacent angles altitude angles equal apothem axis base and altitude bisect centre chord circle whose radius circumference coincide conceive cone cylinder DEM.-If diagonals diameter dicular diedral distance dividers draw drawn edge equal angles equally distant equilateral equivalent exterior angle facial angles fall figure frustum given line given point greater Hence homologous sides inches included angle inscribed inscribed angle intersect isosceles lune measured number of sides oblique lines opposite parallel parallelogram parallelopiped passing pendicular perpen perpendicular plane MN prism Prob Prob.-To produced PROP proportional pyramid Q. E. D. PROPOSITION quadrilateral radii rectangle regular polygon revolve right angled triangle S-ABC secant secant line similar slant height sphere spherical angle spherical triangle square straight line take the direction tangent Theorem.-The area triangle ABC triedral vertex vertices whence
Δημοφιλή αποσπάσματα
Σελίδα 217 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 109 - If the diagonals of a parallelogram are equal, the figure is a rectangle.
Σελίδα 72 - Dn the same side of the secant line is equal to two right angles, the two lines are parallel.
Σελίδα 33 - ... two, or equal to the difference ? Ex. 5. If you have two triangles with only one side and one angle in the one equal to one Side and one angle in the other, can y^ou apply one as a pattern and make it fit on the other ? Cut out two such triangles and try it. Ex. 6. If you have two triangles with only two sides of one respectively equal to two sides of the other, can you make one fit as a pattern on the other ? Try it. Ex. 7. If you have two triangles with two sides in one equal respectively to...
Σελίδα 136 - Theorem — Two triangles are equal when the three sides of the one are respectively equal to the three sides of the other.
Σελίδα 125 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the greater included angle.
Σελίδα 69 - If two lines are cut by a third, and the sum of the interior angles on the same side of the cutting line is less than two right angles, the lines will meet on that side when sufficiently produced.
Σελίδα 2 - LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference.