Elements of Geometry, Plane and Spherical: With Numerous Practical ProblemsIvison, Phinney, Blakeman & Company, 1868 - 262 σελίδες |
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Αποτελέσματα 1 - 5 από τα 61.
Σελίδα 6
... given to exercise the powers and test the proficiency of the pupil , and when he has mastered the most or all of them , it is not likely that he will rest satisfied with present acquisi- tion , but , conscious of augmented strength and ...
... given to exercise the powers and test the proficiency of the pupil , and when he has mastered the most or all of them , it is not likely that he will rest satisfied with present acquisi- tion , but , conscious of augmented strength and ...
Σελίδα 32
... given point in a straight line but one fer- pendicular can be erected to that line ; for , if there could be two perpendiculars , we should have unequal righ angles , which is impossible . THEOREM XVI . Two triangles which have two ...
... given point in a straight line but one fer- pendicular can be erected to that line ; for , if there could be two perpendiculars , we should have unequal righ angles , which is impossible . THEOREM XVI . Two triangles which have two ...
Σελίδα 34
... given line , is perpendicular to this line at its middle point . THEOREM XIX . The greater side of every triangle has the greater angle opposite to it . Let ABC be a A ; and on the supposition that AC 19 greater than AB , we are to ...
... given line , is perpendicular to this line at its middle point . THEOREM XIX . The greater side of every triangle has the greater angle opposite to it . Let ABC be a A ; and on the supposition that AC 19 greater than AB , we are to ...
Σελίδα 38
... angles ; therefore , AC = AE , ( Th . 16 ) . etc. Hence the theorem ; a perpendicular is the shortest line , Cor . Conversely : if two equal oblique lines be drawn from the same point to a given straight line , 38 GEOMETRY .
... angles ; therefore , AC = AE , ( Th . 16 ) . etc. Hence the theorem ; a perpendicular is the shortest line , Cor . Conversely : if two equal oblique lines be drawn from the same point to a given straight line , 38 GEOMETRY .
Σελίδα 39
... given straight line , they will meet the line at equal distances from the foot of the per- pendicular drawn from that point to the given line . THEOREM XXIV . The opposite sides , and also the opposite angles of any par allelogram , are ...
... given straight line , they will meet the line at equal distances from the foot of the per- pendicular drawn from that point to the given line . THEOREM XXIV . The opposite sides , and also the opposite angles of any par allelogram , are ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Plane and Spherical: With Numerous Practical Problems Horatio Nelson Robinson Προβολή αποσπασμάτων - 1868 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² altitude angle ABC axis base and altitude bisected chord circ circumference circumscribed polygon common cone convex surface cylinder diagonal diameter dicular distance divided draw equal altitudes equal and parallel equal angles equal bases equal sides equation equiangular equivalent four magnitudes frustum given line greater half Hence the theorem homologous edges hypotenuse interior angles isosceles Let ABC line drawn lune measured middle point multiplied number of sides opposite angles parallel lines parallelogram parallelopipe parallelopipedon pendicular perimeter perpen perpendicular plane ST polyedron PROB PROBLEM produced proportion PROPOSITION prove radii radius regular polygon right angles right-angled triangle SCHOLIUM secant segment semi-polygon slant height solid angles sphere spherical polygon spherical triangle square described straight line tangent three angles triangle ABC triangular prisms triedral angles vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 96 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 128 - To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal, the chords AB, BC, CD, &c.
Σελίδα 174 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 254 - 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.
Σελίδα 77 - FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi.
Σελίδα 113 - From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line.
Σελίδα 160 - THEOREM. If two planes are perpendicular to the same straight line, they are parallel to each other. Let the planes MN...
Σελίδα 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 61 - A fourth proportional to three quantities is the fourth term of a proportion, whose first three terms are the three quantities taken in their order. Thus, in the proportion a : b = c : d, d is a fourth proportional to a, b, and c.