Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 33
... AC . And because AB is equal to DC , BC to AD , and AC is com- mon ; the two ... square or rectangle are all of them right angles ; for the opposite sides ... AC . Because AB is parallel to CD BOOK I. 33.
... AC . And because AB is equal to DC , BC to AD , and AC is com- mon ; the two ... square or rectangle are all of them right angles ; for the opposite sides ... AC . Because AB is parallel to CD BOOK I. 33.
Seite 41
... C with the distance BA or BC describe two circles intersecting each other in the ... square . PROP . XXXVI . PROB . To divide a given straight line into any of ... AC , in which take the portion AD , and repeat it five times from A to C ...
... C with the distance BA or BC describe two circles intersecting each other in the ... square . PROP . XXXVI . PROB . To divide a given straight line into any of ... AC , in which take the portion AD , and repeat it five times from A to C ...
Seite 52
... square described on the 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 ...
... square described on the 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 ...
Seite 53
... square BF , for it stands on the same base AB and between the same parallels ... AC and the adjacent seg- ment AN made by a perpendicular . Schol . This ... square , and the rectangle NK equivalent to the rhomboid AL and to the square BF ...
... square BF , for it stands on the same base AB and between the same parallels ... AC and the adjacent seg- ment AN made by a perpendicular . Schol . This ... square , and the rectangle NK equivalent to the rhomboid AL and to the square BF ...
Seite 54
... square of BC is equal to the square of BD , and consequently the squares of AB and BC are equal to the squares of AB and BD . But the squares of AB and BC are , by hypothesis , A B equivalent to the square of AC ; and since ABD is , by ...
... square of BC is equal to the square of BD , and consequently the squares of AB and BC are equal to the squares of AB and BD . But the squares of AB and BC are , by hypothesis , A B equivalent to the square of AC ; and since ABD is , by ...
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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