Plane Geometry: A Complete Course in the Elements of the ScienceChristopher Sower Company, 1901 - 266 sider |
Inni boken
Resultat 1-5 av 94
Side 4
... line or paragraph , so that they are readily caught by the eye of the student . At the same time equal care has been ... given " and what is " to be proved , " and also in seeing just where the argument for the proof begins . This difficulty ...
... line or paragraph , so that they are readily caught by the eye of the student . At the same time equal care has been ... given " and what is " to be proved , " and also in seeing just where the argument for the proof begins . This difficulty ...
Side 15
... give us a line ; suppose the line to move in a direction not parallel to itself , and we shall have a surface ; suppose the surface to move in a direction not parallel to itself , and we shall have a solid . 14. These lines , surfaces ...
... give us a line ; suppose the line to move in a direction not parallel to itself , and we shall have a surface ; suppose the surface to move in a direction not parallel to itself , and we shall have a solid . 14. These lines , surfaces ...
Side 24
... line . A line composed of straight and curved lines is called a mixed line ... given conditions . A figure has some distinct shape or form . 13. A PLANE ... LINE . 17. A STRAIGHT LINE , as defined , is a line that has the same direction ...
... line . A line composed of straight and curved lines is called a mixed line ... given conditions . A figure has some distinct shape or form . 13. A PLANE ... LINE . 17. A STRAIGHT LINE , as defined , is a line that has the same direction ...
Side 29
... lines not parallel , lying in the same plane , will meet one another when sufficiently produced . 17. Through a given point only one straight line can be drawn parallel to a given line . 18. Two straight lines which have two points in ...
... lines not parallel , lying in the same plane , will meet one another when sufficiently produced . 17. Through a given point only one straight line can be drawn parallel to a given line . 18. Two straight lines which have two points in ...
Side 30
... line can be drawn equal to a given line . 4. From the greater of two lines a part may be cut off equal to the less . 5. Through a given point a straight line may be drawn parallel to a given straight line . NOTE . - Geometers sometimes ...
... line can be drawn equal to a given line . 4. From the greater of two lines a part may be cut off equal to the less . 5. Through a given point a straight line may be drawn parallel to a given straight line . NOTE . - Geometers sometimes ...
Andre utgaver - Vis alle
Plane Geometry: A Complete Course in the Elements of the Science Edward Brooks Uten tilgangsbegrensning - 1901 |
Plane Geometry: A Complete Course in the Elements of the Science Edward Brooks, Jr. Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
AB² ABC and DEF ABCD AC² acute angle adjacent angles altitude angle equal angles ACD angles are equal apothem base BC² bisector centre chord circumference circumscribed circle construct a square decagon denote diagonals diameter distance divided draw equal angles equally distant equiangular equiangular polygon equilateral triangle exterior angle figure geometry given angle given circle given line given point greater Hence homologous hypotenuse inches inscribed circle inscribed regular intersect isosceles triangle Let ABC line joining mean proportional measured by one-half middle points number of sides obtuse parallel parallelogram perimeter perpendicular Proof PROPOSITION prove quadrilateral quantities radii radius ratio rectangle regular hexagon regular polygon respectively equal rhombus right angles right triangle SCHOLIUM secant segments similar square equivalent suppose tangent theorem trapezoid triangle ABC triangles are equal vertex vertical angle Whence
Populære avsnitt
Side 112 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Side 244 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Side 60 - If two triangles have two sides of the 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.
Side 57 - In an isosceles triangle the angles opposite the equal sides are equal.
Side 28 - AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Side 48 - If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles.
Side 53 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Side 183 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Side 156 - From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.
Side 179 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.