Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 9
... rhomboid ( 3 ) has its oppo- site sides equal : 26. A rhombus ( 4 ) has all its sides e- qual : 27. An oblong , or rectangle , ( 5 ) has a right angle , and its opposite sides equal : 9 000000 28. A square ( 6 ) has a right angle , and ...
... rhomboid ( 3 ) has its oppo- site sides equal : 26. A rhombus ( 4 ) has all its sides e- qual : 27. An oblong , or rectangle , ( 5 ) has a right angle , and its opposite sides equal : 9 000000 28. A square ( 6 ) has a right angle , and ...
Σελίδα 33
... rhomboid are parallel . If the opposite sides AB , DC , and AD , BC of the qua- drilateral figure ABCD be equal , they are also parallel . For draw the diagonal AC . And because AB is equal to DC , BC to AD , and AC is com- mon ; the ...
... rhomboid are parallel . If the opposite sides AB , DC , and AD , BC of the qua- drilateral figure ABCD be equal , they are also parallel . For draw the diagonal AC . And because AB is equal to DC , BC to AD , and AC is com- mon ; the ...
Σελίδα 43
... rhomboids about the diagonal of a rhomboid , are the spaces required to complete the rhomboid ; and the defect of each rhomboid from the whole figure , is termed a gnomon . 5. A rhomboid or rectangle is said to be contained ELEMENTS ...
... rhomboids about the diagonal of a rhomboid , are the spaces required to complete the rhomboid ; and the defect of each rhomboid from the whole figure , is termed a gnomon . 5. A rhomboid or rectangle is said to be contained ELEMENTS ...
Σελίδα 44
... rhomboid or rectangle is said to be contained by any two adjacent sides . A rhomboid is often indicated merely by the two letters pla- ced at opposite corners . PROP . I. THEOR . Triangles which have the same altitude , and stand on the ...
... rhomboid or rectangle is said to be contained by any two adjacent sides . A rhomboid is often indicated merely by the two letters pla- ced at opposite corners . PROP . I. THEOR . Triangles which have the same altitude , and stand on the ...
Σελίδα 45
... rhomboid GC is equivalent to AE ( II . 1. cor . ) , and this again is , for the same reason , equivalent to HF ... rhomboids on equal bases and between the same parallels , are equivalent . Cor . 2. Hence triangles which have the ...
... rhomboid GC is equivalent to AE ( II . 1. cor . ) , and this again is , for the same reason , equivalent to HF ... rhomboids on equal bases and between the same parallels , are equivalent . Cor . 2. Hence triangles which have the ...
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Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angle altitude angle ABC angle ADB angle BAC angle BCD base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle Geometry greater half Hence hypotenuse inscribed intercepted isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter side AC sides AB sinAC sinB sine square of AB square of AC tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 30 - ... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles.
Σελίδα 333 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Σελίδα 294 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Σελίδα 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 137 - Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth.
Σελίδα 84 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Σελίδα 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Σελίδα 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Σελίδα 38 - 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 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.