Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, books 1-6 |
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Resultat 1-4 av 4
Side 5
... true ; consequently it will never be necessary to demon- strate geometrically more than two of the four Theorems ... true , and if the conclusions be mutually exclusive - that is be such that no two of them can be true at the same time ...
... true ; consequently it will never be necessary to demon- strate geometrically more than two of the four Theorems ... true , and if the conclusions be mutually exclusive - that is be such that no two of them can be true at the same time ...
Side 6
... true . Rule of Identity . If there is but one A , and but one B ; then from the fact that A is B it necessarily follows that B is A. OBS . This rule may be frequently applied with great ad- vantage in the demonstration of the converse ...
... true . Rule of Identity . If there is but one A , and but one B ; then from the fact that A is B it necessarily follows that B is A. OBS . This rule may be frequently applied with great ad- vantage in the demonstration of the converse ...
Side 34
... ferences will not meet and one circle will be wholly within the other . OBS . ( 6 ) . The converse of each of the above five Theorems is true . [ Rule of Conversion . ] SECTION 6 . PROBLEMS . PROB . I. To find 34 A SYLLABUS OF.
... ferences will not meet and one circle will be wholly within the other . OBS . ( 6 ) . The converse of each of the above five Theorems is true . [ Rule of Conversion . ] SECTION 6 . PROBLEMS . PROB . I. To find 34 A SYLLABUS OF.
Side 42
... B. Hence the proposition is proved . ] COR . The converses of both parts of the proposition are true , since the " Rule of Conversion " is applicable . THEOR . 5. The ratio of equimultiples of two magnitudes 42 A SYLLABUS OF.
... B. Hence the proposition is proved . ] COR . The converses of both parts of the proposition are true , since the " Rule of Conversion " is applicable . THEOR . 5. The ratio of equimultiples of two magnitudes 42 A SYLLABUS OF.
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Syllabus of Plane Geometry, Books 1-3, Corresponding to Euclid ..., Bøker 1-6 Mathematical Association Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
adjacent angles adjoining sides angles are equal angles equal angles opposite antecedent ARITHMETIC Axioms bisects Book called centre chord circle a regular circumference circumscribe CONIC SECTIONS consequent construct a triangle contrapositive convex polygon Crown 8vo distance divided internally equal angles equal circles equal magnitudes equimultiples fcap given angle given circle given point given ratio given straight line greater angle hypotenuse identically equal inscribe interior angles less lines are proportional Loci locus magnitudes are equal minor arcs multiple obtuse angle opposite angles pair parallel straight lines parallelogram perpendicular PLANE GEOMETRY point of contact point of division polygon PROB protractor quadrilateral radii ratio compounded ratios are equal rectangle contained right angles Rule of Conversion segments side opposite Similar rectilineal figures square straight line drawn straight line intersects subtended Superposition SYLLABUS OF PLANE THEOR three magnitudes triangles are identically unequal vertex whence whole numbers
Populære avsnitt
Side 6 - 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 23 - In the same circle, or in equal circles, equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Side 48 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 11 - Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles...
Side 52 - JACKSON — GEOMETRICAL CONIC SECTIONS. An Elementary Treatise in which the Conic Sections are defined as the Plane Sections of a Cone, and treated by the Method of Projection. By J. STUART JACKSON, MA, late Fellow of Gonville and Caius College, Cambridge.
Side 18 - In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.
Side 7 - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Side 52 - PUCKLE— AN ELEMENTARY TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY. With Numerous Examples and Hints for their Solution ; especially designed for the Use of Beginners. By GH PUCKLE, MA New Edition, revised and enlarged.
Side 8 - 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.
Side 17 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.