Elements of Geometry and Conic SectionsHarper & brothers, 1860 - 234 sider |
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Resultat 1-5 av 63
Side 10
... vertex , and the lines are called the sides of the angle . If there is only one angle at a point , it may be denoted by a letter placed at the vertex , as the angle at A. A But if several angles are at one point , any one of them is ...
... vertex , and the lines are called the sides of the angle . If there is only one angle at a point , it may be denoted by a letter placed at the vertex , as the angle at A. A But if several angles are at one point , any one of them is ...
Side 11
... vertices of two angles not adjacent to each other . Thus , AC , AD , AE are diagonals . D A E F 19. An equilateral polygon is one which has all its sides equal . An equiangular polygon is one which has all its an- gles equal . 20. Two ...
... vertices of two angles not adjacent to each other . Thus , AC , AD , AE are diagonals . D A E F 19. An equilateral polygon is one which has all its sides equal . An equiangular polygon is one which has all its an- gles equal . 20. Two ...
Side 20
... vertex ; but in an isos celes triangle , that side is usually regarded as the base , which is not equal to either of the others . PROPOSITION XI . THEOREM ( Converse of Prop . X. ) . If two angles of a triangle are equal to one another ...
... vertex ; but in an isos celes triangle , that side is usually regarded as the base , which is not equal to either of the others . PROPOSITION XI . THEOREM ( Converse of Prop . X. ) . If two angles of a triangle are equal to one another ...
Side 57
... dicular let fall from the vertex of an angle on the opposite side , taken as a base , or on the base produced . 7. The altitude of a parallelogram is the perpendicular drawn BOOK IV . 31 57 The Proportions of Figures BOOK IV.
... dicular let fall from the vertex of an angle on the opposite side , taken as a base , or on the base produced . 7. The altitude of a parallelogram is the perpendicular drawn BOOK IV . 31 57 The Proportions of Figures BOOK IV.
Side 67
... vertex to the middle of the base , the sum of the squares of the other two sides is equivalent to twice the square of the bisecting line , to- gether with twice the square of half the base . Let ABC be a triangle having a line AD drawn ...
... vertex to the middle of the base , the sum of the squares of the other two sides is equivalent to twice the square of the bisecting line , to- gether with twice the square of half the base . Let ABC be a triangle having a line AD drawn ...
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Vanlige uttrykk og setninger
ABCD AC is equal allel altitude angle ABC angle ACB angle BAC base BCDEF bisected chord circle circumference cone contained convex surface curve described diagonals diameter draw ellipse equal angles equal to AC equally distant equiangular equilateral equivalent exterior angle foci four right angles frustum given angle given point given straight line greater hyperbola hypothenuse inscribed intersect join latus rectum Let ABC lines AC major axis mean proportional measured by half meet number of sides ordinate parabola parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN principal vertex prism PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right angles Prop right-angled triangle Scholium segment side AC similar solid angle sphere spherical triangle square subtangent tangent THEOREM triangle ABC vertex vertices
Populære avsnitt
Side 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Side 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Side 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Side 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Side 20 - therefore, because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides, DB, BC are equal to the two AC, CB, each to each ; and the angle DBC is equal to...
Side 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 148 - It will be shown (p. 7,) that every section of a sphere, made by a plane, is a circle...
Side 14 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 152 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.