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
... vertex , as C , but when two or more angles have the same vertex , the letter at the vertex always occupies the middle place ; as the angle A CD or D C B. 11. Two straight lines are said to be Perpendicular to each other , when their ...
... vertex , as C , but when two or more angles have the same vertex , the letter at the vertex always occupies the middle place ; as the angle A CD or D C B. 11. Two straight lines are said to be Perpendicular to each other , when their ...
Página 10
... vertex , the vertex always occup places as the angle Triangle is one equal ; as the An Isosceles Triangle is one which has two of its sides equal ; as the triangle DEF . A B D E F G A Scalene Triangle is one which has no two of its ...
... vertex , the vertex always occup places as the angle Triangle is one equal ; as the An Isosceles Triangle is one which has two of its sides equal ; as the triangle DEF . A B D E F G A Scalene Triangle is one which has no two of its ...
Página 11
... vertices of any two angles which are op- E posite to each other ; as the lines E C C and E B in the polygon A B C D E. A B 25. A Base of a polygon is the side on which the polygon is supposed to stand . But in the case of the isosceles ...
... vertices of any two angles which are op- E posite to each other ; as the lines E C C and E B in the polygon A B C D E. A B 25. A Base of a polygon is the side on which the polygon is supposed to stand . But in the case of the isosceles ...
Página 29
... vertices of all the angles , and the polygon will be divided into as many triangles as it has sides . Now , the sum of the three angles in each of these triangles is equal to two right angles ( Theo . XIX . ) ; therefore the sum of the ...
... vertices of all the angles , and the polygon will be divided into as many triangles as it has sides . Now , the sum of the three angles in each of these triangles is equal to two right angles ( Theo . XIX . ) ; therefore the sum of the ...
Página 45
... vertex in the circumference , and is formed by two chords ; as the angle ABC . 133. An Inscribed Polygon is one which has the vertices BOOK III . 45.
... vertex in the circumference , and is formed by two chords ; as the angle ABC . 133. An Inscribed Polygon is one which has the vertices BOOK III . 45.
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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.