Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, books 1-6 |
Inni boken
Resultat 1-5 av 9
Side 18
... PROB . I. To bisect a given angle . PROB . 2. To draw a perpendicular to a given straight line from a given point in it . PROB . 3. To draw a perpendicular to a given 18 A SYLLABUS OF Problems.
... PROB . I. To bisect a given angle . PROB . 2. To draw a perpendicular to a given straight line from a given point in it . PROB . 3. To draw a perpendicular to a given 18 A SYLLABUS OF Problems.
Side 19
... PROB . 4. To bisect a given straight line . PROB . 5. At a given point in a given straight line to make an angle equal to a given angle . PROB . 6. To draw a straight line through a given point parallel to a given straight line . PROB ...
... PROB . 4. To bisect a given straight line . PROB . 5. At a given point in a given straight line to make an angle equal to a given angle . PROB . 6. To draw a straight line through a given point parallel to a given straight line . PROB ...
Side 24
... point , the sum of the squares on the segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line . SECTION . 2 . PROBLEMS . PROB . I. To 24 A SYLLABUS OF.
... point , the sum of the squares on the segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line . SECTION . 2 . PROBLEMS . PROB . I. To 24 A SYLLABUS OF.
Side 25
... PROB . 4. To construct a square equal to a given rectilineal figure . PROB . 5. To construct a rectilineal figure equal to a given rectilineal figure and having the number of its sides one less than that of the given figure ; and thence ...
... PROB . 4. To construct a square equal to a given rectilineal figure . PROB . 5. To construct a rectilineal figure equal to a given rectilineal figure and having the number of its sides one less than that of the given figure ; and thence ...
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.
Andre utgaver - Vis alle
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.