Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, books 1-6 |
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Σελίδα
... called Axioms . Of the Axioms used in Geometry those are termed General which are applicable to magnitudes of all kinds : the following is a list of the general axioms more frequently used . ( a ) The whole is greater than its part ...
... called Axioms . Of the Axioms used in Geometry those are termed General which are applicable to magnitudes of all kinds : the following is a list of the general axioms more frequently used . ( a ) The whole is greater than its part ...
Σελίδα 3
... called Axioms . Of the Axioms used in Geometry those are termed General which are applicable to magnitudes of all kinds the following is a list of the general axioms more frequently used . ( a ) The whole is greater than its part . ( b ) ...
... called Axioms . Of the Axioms used in Geometry those are termed General which are applicable to magnitudes of all kinds the following is a list of the general axioms more frequently used . ( a ) The whole is greater than its part . ( b ) ...
Σελίδα 7
... a portion of a plane surface enclosed by a line or lines . DEF . 8. A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure.
... a portion of a plane surface enclosed by a line or lines . DEF . 8. A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure.
Σελίδα 8
... called the centre of the circle . DEF . 9. A radius of a circle is a straight line drawn from the centre to the circumference . DEF . 10. A diameter of a circle is a straight line drawn through the centre and terminated both ways by the ...
... called the centre of the circle . DEF . 9. A radius of a circle is a straight line drawn from the centre to the circumference . DEF . 10. A diameter of a circle is a straight line drawn through the centre and terminated both ways by the ...
Σελίδα 9
... called a right angle . OBS . Hence a straight angle is equal to two right angles ; or , a right angle is half a straight angle . DEF . 15. A perpendicular to a straight line is a straight line that makes a right angle with it . DEF . 16 ...
... called a right angle . OBS . Hence a straight angle is equal to two right angles ; or , a right angle is half a straight angle . DEF . 15. A perpendicular to a straight line is a straight line that makes a right angle with it . DEF . 16 ...
Άλλες εκδόσεις - Προβολή όλων
Syllabus of Plane Geometry, Books 1-3, Corresponding to Euclid ..., Βιβλία 1-6 Mathematical Association Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.