Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 43
... triangle , the side that subtends the right angle is termed the hypotenuse ; either of the sides which contain it , the base ; and the other side , the perpen- dicular . 2. The altitude of a ... rectangle is said to be contained ELEMENTS ...
... triangle , the side that subtends the right angle is termed the hypotenuse ; either of the sides which contain it , the base ; and the other side , the perpen- dicular . 2. The altitude of a ... rectangle is said to be contained ELEMENTS ...
Seite 44
... rectangle is said to be contained by any two adjacent sidés . 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 same base ...
... rectangle is said to be contained by any two adjacent sidés . 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 same base ...
Seite 48
... triangle ABC and the rhomboid DEFC , are equivalent . Cor . Hence the area of a triangle is equal to half the rectangle contained under its base and its altitude - from which property is derived the mensuration of any rectili- neal ...
... triangle ABC and the rhomboid DEFC , are equivalent . Cor . Hence the area of a triangle is equal to half the rectangle contained under its base and its altitude - from which property is derived the mensuration of any rectili- neal ...
Seite 51
... rectangle contained by the altitude of the trapezoid and half the sum of its pa- rallel sides , is equivalent to the rhomboid BF ( II . 1. cor . ) ; but the rhomboid EG is equivalent to the triangle ECD ( II . 5. ) , add to each the ...
... rectangle contained by the altitude of the trapezoid and half the sum of its pa- rallel sides , is equivalent to the rhomboid BF ( II . 1. cor . ) ; but the rhomboid EG is equivalent to the triangle ECD ( II . 5. ) , add to each the ...
Seite 53
... contains the same space as both together of the squares described on the two sides AB and BC . Cor . Hence the square of a side AB is equivalent to the rectangle under the hypotenuse AC and the adjacent seg- ment AN made by a ...
... contains the same space as both together of the squares described on the two sides AB and BC . Cor . Hence the square of a side AB is equivalent to the rectangle under the hypotenuse AC and the adjacent seg- ment AN made by a ...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
ABCD adjacent angle altitude angle ABC angle ADB angle BAC 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 given greater half Hence hypotenuse inscribed 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 sequently side AC sinB sine square of AB square of AC straight line tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore