Elementary Geometry, Volumen1Macmillan, 1868 |
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Página vi
... find himself reasoning consecutively at all . If then to all this novelty we add the constant analysis into syllogisms of inferences which are obvious without this analysis , and the constant reference to general axioms and general ...
... find himself reasoning consecutively at all . If then to all this novelty we add the constant analysis into syllogisms of inferences which are obvious without this analysis , and the constant reference to general axioms and general ...
Página 11
... find what fraction the less is of four right angles . 4. From a given point in a given straight line two straight lines , and only two , can be drawn on the same side of it so as to make a given angle with that line . 5. From a given ...
... find what fraction the less is of four right angles . 4. From a given point in a given straight line two straight lines , and only two , can be drawn on the same side of it so as to make a given angle with that line . 5. From a given ...
Página 17
... find the magnitude of the angle of a regular hexagon . Since the six interior angles are less than twelve right angles by four right angles , they are together equal to eight right angles ; and therefore each of them is eight - sixths ...
... find the magnitude of the angle of a regular hexagon . Since the six interior angles are less than twelve right angles by four right angles , they are together equal to eight right angles ; and therefore each of them is eight - sixths ...
Página 49
... Find the following loci— I. Of a point equidistant from two given points . 2 . Of a point equidistant from two given lines . 3 . 4 . Of a point at a given distance from a given circle . Of a point at which two equal lengths not adjacent ...
... Find the following loci— I. Of a point equidistant from two given points . 2 . Of a point equidistant from two given lines . 3 . 4 . Of a point at a given distance from a given circle . Of a point at which two equal lengths not adjacent ...
Página 50
... find the locus of its middle point . EXERCISES ON INTERSECTION OF LOCI . Some of the following problems will become ... Find a point in a given straight line at equal distances from two given points . Construct the figures for all cases ...
... find the locus of its middle point . EXERCISES ON INTERSECTION OF LOCI . Some of the following problems will become ... Find a point in a given straight line at equal distances from two given points . Construct the figures for all cases ...
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Términos y frases comunes
AB² ABCD AC² adjacent angles Algebra angle ABC angle BAC angle OPB AP² BC² BP² BROOKE FOSS WESTCOTT Cambridge Christ's College cloth coincide CONIC SECTIONS construct a triangle construct the triangle corresponding angles CP² Crown 8vo diagonals difference direction Edward Thring ELEMENTARY TREATISE equal angles Euclid Examples EXERCISES exterior angles Fcap follows four right angles Geometry given angle given line given point given straight line greater Hence included angle intersecting isosceles triangle John's College less Let ABC line which joins locus Mathematical meet middle point MIXED MATHEMATICS obtuse angle opposite angles opposite sides parallelogram perpendicular points of bisection problems produced Proof prove quadrilateral rectangle contained rectilineal respectively equal rhombus right angles Schools Second Edition Shew student Theorem 16 three sides triangle ABC triangle are respectively triangles are equal TRIGONOMETRY twice the rectangle unequal vertex whole line
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