Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, books 1-6 |
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... a Point Section 2. Triangles Section 3. Parallels and Parallelograms . Section 4 . Problems Section 5. Loci BOOK II . Equality of Areas . Section 1. Theorems Section 2. Problems • Page I 3 7 II II 15 18 19 ક 21 25 iv TABLE OF CONTENTS ...
... a Point Section 2. Triangles Section 3. Parallels and Parallelograms . Section 4 . Problems Section 5. Loci BOOK II . Equality of Areas . Section 1. Theorems Section 2. Problems • Page I 3 7 II II 15 18 19 ક 21 25 iv TABLE OF CONTENTS ...
Side
... point outside , a given straight line , and the determination of the projection of a finite line on a given straight line . 4. The construction of an angle equal to a given angle ; of an angle equal to the sum of two given angles , & c ...
... point outside , a given straight line , and the determination of the projection of a finite line on a given straight line . 4. The construction of an angle equal to a given angle ; of an angle equal to the sum of two given angles , & c ...
Side
... a point , or more than two points lie on a straight line . ( B ) The making of the above constructions and combi- nations of them to scale ( but without the protractor ) . ( 7 ) The application of the above constructions to the indirect ...
... a point , or more than two points lie on a straight line . ( B ) The making of the above constructions and combi- nations of them to scale ( but without the protractor ) . ( 7 ) The application of the above constructions to the indirect ...
Side
... Areas . Section I. Theorems Section 2. Problems Page I 3 II II 15 18 19 21 25 iv TABLE OF CONTENTS . BOOK II The Ciril Page The Straight Line Definitions Axioms Postulates Angles at a Point Triangles Parallels and Parallelograms.
... Areas . Section I. Theorems Section 2. Problems Page I 3 II II 15 18 19 21 25 iv TABLE OF CONTENTS . BOOK II The Ciril Page The Straight Line Definitions Axioms Postulates Angles at a Point Triangles Parallels and Parallelograms.
Side 1
... point outside , a given straight line , and the determination of the projection of a finite line on a given straight line . 4. The construction of an angle equal to a given angle ; of an angle equal to the sum of two given angles , & c ...
... point outside , a given straight line , and the determination of the projection of a finite line on a given straight line . 4. The construction of an angle equal to a given angle ; of an angle equal to the sum of two given angles , & c ...
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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.