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From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent angles are equal, they are right angles.
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Σελίδα 196
των Thomas Malton - 1774 - 440 σελίδες
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...fegment is faid to be lefs thai} ' a right angle.' COR. From this it is manifeft, that if one angle pf a triangle be equal to the other two, it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the adjacent angles arc equal,...

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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...of the left « fegment is faid to be lefs, than a right angle.' CoR. From this it is manifeft, that if one angle of a triangle be equal to the other two, it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the adjacent angles are equal,...

## The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

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...in an lequilateral triangle is one third of two right angles, or two thirds of one right angle. 6. If one angle of a triangle be equal to the other two, that angle is a right one ; for, if the fide is produced, the adjacent angle is equal to the other...

## The elements of Euclid: with dissertations intended to assist and ..., Τόμος 1

James Williamson - 1781
...wherefore the angle BAC is a right angle. Which was to be demonftrated. Cor From this it is manifeft that if one angle of a triangle be equal to the other two it is a right angle : for this reafon becaufe the adjacent angle is equal to the fame two : but (by def. 10. i.) when the...

## The First Six Books: Together with the Eleventh and Twelfth

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...angle of thelcfa ' fegment is faid to be lefs, than a right angle.' CoR. From this it is manifeft, that if one angle of a triangle be equal to the other two, it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the ad jacent angles are equal,...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 σελίδες
...of the lefs feg~ient is faid to be lefs .' than a right angle.' CoR. From this it is Tnanifcit, that if one angle of a triangle be equal to the other two, it is a right angle, becaufe the angle Adjacent to it is equal to the fame two ; and when the adjacent angles are equal,...

## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...angle of the lefs fegment is faid to be lefs * than a right angle.' CoR. From this it is manifeft, that if one angle of a triangle be equal to the other two, it is a right angle, becaufe the angle adjacent to it is equal to the fame two ; and when the adjacent angles are equal,...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...right angle. Therefore, in a circle, Book in. &c. QED COR. From the demonstration it is manifest that if one angle of a triangle be equal to the other two angles, it is a right angle. PROP. XXXII. THEOR. IF a straight line touch a circle, and from the point...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...of the less segment is said to be less, than a right ' angle.' COR. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent angles are equal,...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...greater than a right angle. Therefore, in a circle, &c. Q,. ED COR. From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent angles are equal,...