Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, books 1-6 |
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Σελίδα
... hence the division of lines into aliquot parts , in given ratio , & c . 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; ( y ) two angles and side adjacent ; ( 8 ) two angles and ...
... hence the division of lines into aliquot parts , in given ratio , & c . 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; ( y ) two angles and side adjacent ; ( 8 ) two angles and ...
Σελίδα 1
... hence the division of lines into aliquot parts , in given ratio , & c . 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; G. ( y ) two angles and side adjacent ; ( 8 ) two angles ...
... hence the division of lines into aliquot parts , in given ratio , & c . 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; G. ( y ) two angles and side adjacent ; ( 8 ) two angles ...
Σελίδα 5
... Hence the four associated Theorems ( i ) ( ii ) ( iii ) ( iv ) resolve themselves into two Theorems that are inde- pendent of one another , and two others that are always and necessarily true if the former are true ; consequently it ...
... Hence the four associated Theorems ( i ) ( ii ) ( iii ) ( iv ) resolve themselves into two Theorems that are inde- pendent of one another , and two others that are always and necessarily true if the former are true ; consequently it ...
Σελίδα 9
... 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. An acute angle is that ...
... 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. An acute angle is that ...
Σελίδα 29
... Hence the circumference of a circle is everywhere concave towards the centre . THEOR . 10. There is one circle and only one whose circumference passes through three given points not in the same straight line . [ By INTERSECTION OF LOCI ...
... Hence the circumference of a circle is everywhere concave towards the centre . THEOR . 10. There is one circle and only one whose circumference passes through three given points not in the same straight line . [ By INTERSECTION OF LOCI ...
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.