Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, books 1-6 |
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Σελίδα 8
... common vertex and common arms ) are said to be conjugate . The greater of the two is called the major conjugate , and the smaller the minor conjugate , angle . When the angle contained by two lines is spoken of without qualification ...
... common vertex and common arms ) are said to be conjugate . The greater of the two is called the major conjugate , and the smaller the minor conjugate , angle . When the angle contained by two lines is spoken of without qualification ...
Σελίδα 10
... common arm . DEF . 26. The perimeter of a rectilineal figure is the sum of its sides . DEF . 27. The area of a figure is the space inclosed by its boundary . DEF . 28. A triangle is a figure contained by three straight lines . DEF . 29 ...
... common arm . DEF . 26. The perimeter of a rectilineal figure is the sum of its sides . DEF . 27. The area of a figure is the space inclosed by its boundary . DEF . 28. A triangle is a figure contained by three straight lines . DEF . 29 ...
Σελίδα 27
... common centre are said to be concentric . The following properties of the circle are immediate consequences of Book I , Def . 8 : ( a ) A circle has only one centre . ( b ) A point is within , on , or without the circumference of a ...
... common centre are said to be concentric . The following properties of the circle are immediate consequences of Book I , Def . 8 : ( a ) A circle has only one centre . ( b ) A point is within , on , or without the circumference of a ...
Σελίδα 29
... common coincide wholly . COR . 2. The circumferences of two different circles cannot meet one another in more than two points . COR . 3. If from any point within a circle more than two straight lines drawn to the circumference are equal ...
... common coincide wholly . COR . 2. The circumferences of two different circles cannot meet one another in more than two points . COR . 3. If from any point within a circle more than two straight lines drawn to the circumference are equal ...
Σελίδα 33
... common . [ Contrapositive of part of Theor . 21. ] DEF . 13. Two circles whose circumferences meet in one point only ... common point not on the line through their centres , they have also another common point . [ Obverse of Theor . G. 3 ...
... common . [ Contrapositive of part of Theor . 21. ] DEF . 13. Two circles whose circumferences meet in one point only ... common point not on the line through their centres , they have also another common point . [ Obverse of Theor . G. 3 ...
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.