New Elementary Geometry: With Practical Applications : a Shorter Course Upon the Basis of the Larger WorkRobert S. Davis & Company, 1874 - 176 páginas |
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Página 8
... straight line and a per- pendicular to it ; as the angle CAB . 13. An Acute Angle is one which is less than a right angle ; as the angle DEF . C B A D E F E An Obtuse Angle is one which is greater than 8 ELEMENTARY GEOMETRY .
... straight line and a per- pendicular to it ; as the angle CAB . 13. An Acute Angle is one which is less than a right angle ; as the angle DEF . C B A D E F E An Obtuse Angle is one which is greater than 8 ELEMENTARY GEOMETRY .
Página 9
... greater than a right angle ; as the an- gle EFG . F G Acute and obtuse angles are sometimes called oblique angles . B C D 14. Parallel Lines are such as , A- being in the same plane , cannot meet , however far either way both of them ...
... greater than a right angle ; as the an- gle EFG . F G Acute and obtuse angles are sometimes called oblique angles . B C D 14. Parallel Lines are such as , A- being in the same plane , cannot meet , however far either way both of them ...
Página 12
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. A straight line is the shortest line that can be drawn from one point to another . 11. All right angles are equal to one another . 12. Magnitudes ...
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. A straight line is the shortest line that can be drawn from one point to another . 11. All right angles are equal to one another . 12. Magnitudes ...
Página 18
... greater ; then take D B equal to AC the less , and draw CD . Now , in the two triangles DBC , ABC , we have D B ... greater side of any triangle is opposite the greater angle . In the triangle CA B , let the angle C be greater than B ...
... greater ; then take D B equal to AC the less , and draw CD . Now , in the two triangles DBC , ABC , we have D B ... greater side of any triangle is opposite the greater angle . In the triangle CA B , let the angle C be greater than B ...
Página 19
... greater than B. 51. Cor . 3. It follows , therefore , that the less angle is oppo- site to the shorter side . THEOREM IX . 52. If , from any point within a triangle , two straight lines are drawn to the extremities of either side ...
... greater than B. 51. Cor . 3. It follows , therefore , that the less angle is oppo- site to the shorter side . THEOREM IX . 52. If , from any point within a triangle , two straight lines are drawn to the extremities of either side ...
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New Elementary Geometry with Practical Applications Benjamin Greenleaf Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD ABCDEF alti altitude Theo angle A CD axis base multiplied bisect chord circum circumference circumscribed cone convex surface D E F diagonal diameter divided ELEMENTARY ALGEBRA ellipse entire surface equal Theo equivalent formed frustum greater GREENLEAF'S half the sum hence homologous homologous sides hypothenuse inches inscribed circle inscribed square intersection magnitudes mean proportional measured by half Metric System number of sides parallelogram parallelopipedon perimeter perpendicular prism PROBLEM quadrilateral radii radius ratio rectangle rectangular regular polygon Required the area Required the volume rhombus right angles Theo right pyramid rods Scholium SCHOOLS sector semicircle side A B side B C similar slant hight solid sphere is equal spherical square described square feet square root tangent THEOREM third triangles A B C triangular triangular prism tude vertex
Pasajes populares
Página 23 - 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.
Página 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Página 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 61 - At a point in a given straight line to make an angle equal to a given angle.
Página 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 93 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Página 62 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Página 100 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...
Página 88 - FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.
Página 124 - But the solidity of each triangular prism is equal to the product of its base by its altitude ; and.