A School Geometry, Μέρη 1-4Macmillan and Company, 1908 |
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Σελίδα xi
... Parallelograms . DEFINITIONS 59 56 THEOREM 20. [ Euc . I. 33. ] The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and ... parallelogram is CONTENTS . xi.
... Parallelograms . DEFINITIONS 59 56 THEOREM 20. [ Euc . I. 33. ] The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and ... parallelogram is CONTENTS . xi.
Σελίδα xii
... parallelogram are equal to one another , and each diagonal bisects the parallelogram . PAGE 58 59 COR . 2. All the sides of a square are equal ; and all its angles are right angles . 59 COR . 3. The diagonals of a parallelogram bisect ...
... parallelogram are equal to one another , and each diagonal bisects the parallelogram . PAGE 58 59 COR . 2. All the sides of a square are equal ; and all its angles are right angles . 59 COR . 3. The diagonals of a parallelogram bisect ...
Σελίδα xiii
... Parallelograms on the same base and between the same parallels are equal in area . 104 AREA OF A PARALLELOGRAM - 105 THEOREM 25. AREA OF A TRIANGLE . 106 THEOREM 26. [ Euc . I. 37. ] Triangles on the same base and between the same ...
... Parallelograms on the same base and between the same parallels are equal in area . 104 AREA OF A PARALLELOGRAM - 105 THEOREM 25. AREA OF A TRIANGLE . 106 THEOREM 26. [ Euc . I. 37. ] Triangles on the same base and between the same ...
Σελίδα xiv
... parallelogram equal to a given triangle , and having one of its angles equal to a given angle . PROBLEM 18. To draw a triangle equal in area to a given quadrilateral . PAGE 120 122 .124 126 128 PROBLEM 19. To draw a parallelogram equal ...
... parallelogram equal to a given triangle , and having one of its angles equal to a given angle . PROBLEM 18. To draw a triangle equal in area to a given quadrilateral . PAGE 120 122 .124 126 128 PROBLEM 19. To draw a parallelogram equal ...
Σελίδα 9
... parallelogram , rectil . 99 99 ce " " circle , circumference ; and all obvious contractions of commonly occurring words , such as opp . , adj . , diag . , etc. , for opposite , adjacent , diagonal , etc. [ For convenience of oral work ...
... parallelogram , rectil . 99 99 ce " " circle , circumference ; and all obvious contractions of commonly occurring words , such as opp . , adj . , diag . , etc. , for opposite , adjacent , diagonal , etc. [ For convenience of oral work ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² adjacent angles altitude angle equal base BC bisector bisects circle of radius circle whose centre circles which touch circum-circle circumference circumscribed coincide common tangents concyclic Construct a triangle diagonals diagram diameter distance divided draw a circle equal in area equidistant escribed circles Euclid exterior angles Find the area find the locus given angle given circle given point given straight line given triangle greater Hence hypotenuse inches inscribed isosceles triangle length Let ABC meet metres middle point millimetre nine-points circle opposite sides orthocentre par¹ parallelogram pedal triangle perp PROBLEM produced Proof radii rect rectangle rectangle contained rectilineal figure required to prove respectively rhombus right angles right-angled triangle segment shew shewn straight line drawn tangent Theor Theorem trapezium triangle ABC triangles are equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα xi - IF two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 44 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 12 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 122 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα x - 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 65 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.