Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, books 1-6 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 6.
Σελίδα 5
... alternatives of which one must be true , and if the conclusions be mutually exclusive - that is be such that no two of them can be true at the same time , then the converse of every Theorem of the group will necessarily be true . OBS ...
... alternatives of which one must be true , and if the conclusions be mutually exclusive - that is be such that no two of them can be true at the same time , then the converse of every Theorem of the group will necessarily be true . OBS ...
Σελίδα 14
... [ Alternative proofs , ( i ) by Theors . 16 and 5. ( ii ) By Theors . 7 and 5. ] THEOR . 19. If two triangles have two angles of the one equal to two angles of the other , each to each , and have likewise the sides opposite to one pair of ...
... [ Alternative proofs , ( i ) by Theors . 16 and 5. ( ii ) By Theors . 7 and 5. ] THEOR . 19. If two triangles have two angles of the one equal to two angles of the other , each to each , and have likewise the sides opposite to one pair of ...
Σελίδα 15
... , 4 and 6 , 3 and 5 are called alternate 2/1 3/4 angles ; lastly , I and 5 , 2 and 6 , 3 and 7 , 4 and 8 , are called corresponding angles . DEF . 39. The orthogonal projection of one straight line PLANE GEOMETRY , 15 Section.
... , 4 and 6 , 3 and 5 are called alternate 2/1 3/4 angles ; lastly , I and 5 , 2 and 6 , 3 and 7 , 4 and 8 , are called corresponding angles . DEF . 39. The orthogonal projection of one straight line PLANE GEOMETRY , 15 Section.
Σελίδα 16
... alternate angles equal , the straight lines are parallel . [ Contrapositive of Theor . 9. ] THEOR . 22. If a straight line intersects two other straight lines and makes either a pair of alternate angles equal , or a pair of ...
... alternate angles equal , the straight lines are parallel . [ Contrapositive of Theor . 9. ] THEOR . 22. If a straight line intersects two other straight lines and makes either a pair of alternate angles equal , or a pair of ...
Σελίδα 24
... [ Alternative proofs : - ( 1 ) Euclid's . ( 2 ) By dividing two squares placed side by side into parts , which may be combined so as to form a single square . ] THEOR . IO . In an obtuse - angled triangle the square on the side opposite ...
... [ Alternative proofs : - ( 1 ) Euclid's . ( 2 ) By dividing two squares placed side by side into parts , which may be combined so as to form a single square . ] THEOR . IO . In an obtuse - angled triangle the square on the side opposite ...
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.