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
... hypotenuse ; either of the sides which contain it , the base ; and the other side , the perpen- dicular . 2. The altitude of a triangle is a perpendicular let fall from the vertex upon the base or its ex- tension . 3. The altitude of a ...
... hypotenuse ; either of the sides which contain it , the base ; and the other side , the perpen- dicular . 2. The altitude of a triangle is a perpendicular let fall from the vertex upon the base or its ex- tension . 3. The altitude of a ...
Seite 52
... hypotenuse of a right - angled triangle , is equivalent to the squares of the two sides . Let the triangle ABC be right - angled at B ; the square described on the hypotenuse AC is equivalent to BF and BI the squares of the sides AB and ...
... hypotenuse of a right - angled triangle , is equivalent to the squares of the two sides . Let the triangle ABC be right - angled at B ; the square described on the hypotenuse AC is equivalent to BF and BI the squares of the sides AB and ...
Seite 53
... hypotenuse , 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 ...
... hypotenuse , 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 ...
Seite 54
... hypotenuse of a right - angled triangle - a proper- ty which readily suggests another method of erecting a per- pendicular at the extremity of a straight line . PROP . XII . PROB . To find the side of a square equivalent to any number ...
... hypotenuse of a right - angled triangle - a proper- ty which readily suggests another method of erecting a per- pendicular at the extremity of a straight line . PROP . XII . PROB . To find the side of a square equivalent to any number ...
Seite 55
... hypotenuse CF is equivalent to square the squares of CD and DF ( II . 10. ) , and consequently ta- king the square of CD from both , the excess of the of CF above that of CD is equivalent to the square of DF , or the square of DF is ...
... hypotenuse CF is equivalent to square the squares of CD and DF ( II . 10. ) , and consequently ta- king the square of CD from both , the excess of the of CF above that of CD is equivalent to the square of DF , or the square of DF is ...
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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