Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4. corresponding to Euclid, books 1-6 |
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Σελίδα 23
... rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the other is divided . COR . I. If a straight line is divided into two parts , the rect- angle contained ...
... rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the other is divided . COR . I. If a straight line is divided into two parts , the rect- angle contained ...
Σελίδα 24
... rectangle contained by either side and the projection on it of the other side . COR . Conversely to Theorems 9 , 10 , 11 the angle opposite a side of a triangle is a right angle , an obtuse angle , or an acute angle , according as the ...
... rectangle contained by either side and the projection on it of the other side . COR . Conversely to Theorems 9 , 10 , 11 the angle opposite a side of a triangle is a right angle , an obtuse angle , or an acute angle , according as the ...
Σελίδα 25
... triangle equal to a given rectilineal figure . PROB . 6. To divide a straight line , either internally or ex- ternally , into two segments such that the rectangle contained by the given line and one of the segments may be equal to the ...
... triangle equal to a given rectilineal figure . PROB . 6. To divide a straight line , either internally or ex- ternally , into two segments such that the rectangle contained by the given line and one of the segments may be equal to the ...
Σελίδα 36
... rectangle contained by these segments is equal to the difference of the squares on the radius and on the line joining the given point with the centre of the circle . COR . 1. The rectangle contained by the segments of any chord passing ...
... rectangle contained by these segments is equal to the difference of the squares on the radius and on the line joining the given point with the centre of the circle . COR . 1. The rectangle contained by the segments of any chord passing ...
Σελίδα 37
... rectangle con- tained by the segments of any chord passing through it is equal to the square on the tangent to the circle drawn from that point . COR . 4. Conversely , if the rectangle contained by the segments of a chord passing ...
... rectangle con- tained by the segments of any chord passing through it is equal to the square on the tangent to the circle drawn from that point . COR . 4. Conversely , if the rectangle contained by the segments of a chord passing ...
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.