## Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, Books 1-6 |

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Syllabus of Plane Geometry, Books 1-3, Corresponding to Euclid ..., Books 1-6 Mathematical Association No preview available - 2016 |

### Common terms and phrases

adjacent angles adjoining sides angle contained angles are equal angles equal angles opposite ARITHMETIC bisects Book called centre chord circle a regular circumference circumscribe CONIC SECTIONS construct a triangle contrapositive convex polygon Crown 8vo distance divided internally equal altitude equal angles equal circles equal magnitudes equimultiples fcap given angle given point given ratio given straight line greater angle hypotenuse identically equal inscribe interior angles less lines are proportional Loc1 locus magnitudes are equal middle point minor arcs multiple obtuse angle opposite angles pair parallel straight lines parallelogram perpendicular PLANE GEOMETRY point of contact point of division polygon Prob quadrilateral radii radius 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 tangent thenA Theor Theorem three magnitudes triangles are identically unequal vertex whence whole numbers

### Popular passages

Page 14 - 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.

Page 31 - 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.

Page 54 - 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.

Page 19 - 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...

Page 26 - 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.

Page 15 - 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.

Page 16 - 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.

Page 25 - 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.