 | Pupil teachers - 1880 - 1486 pagina’s
...to two right angles; then these two straight lines shall be in one and the same straight line. 15. If two straight lines cut one another, the vertical, or opposite angles shall be equal. Deduce from this, that all the angles made by any number of straight lines meeting in one point are... | |
 | 1880 - 594 pagina’s
...cut off a part equal to the less. What are the data and what are the quasita in this proposition ? 2. If two straight lines cut one another, the vertical, or opposite angles, shall be equal Why is no construction required in this theorem ? 3. Euc. I. 21. THIRD (OR FOURTH) YEAR. Arithmetic.... | |
 | 1880 - 160 pagina’s
...line. (ii.) To bisect a given rectilineal angle, that is, to divide it into two equal angles. (iii.) If two straight lines cut one another, the vertical, or opposite, angles shall be equal. (iv.) If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite... | |
 | Isaac Todhunter - 1880 - 426 pagina’s
...impossible. Therefore BE is not in the same straight line with CB. And in the same manner it may be shewn that no other can be in the same straight line with it but BD ; therefore BD is in the same straight line with CB. Wherefore, if at a point &c. QED PROPOSITION 15.... | |
 | T S. Taylor - 1880 - 152 pagina’s
...the third side is called the base. 4. The angles at the base of an isosceles triangle are equal. 5. If two straight lines cut one another, the vertical (or opposite) angles are equal. An axiom is a self-evident truth. That is to say, an assertion so evidently true that it... | |
 | Education Ministry of - 1880 - 238 pagina’s
...wholes are unequal. All equal angles fill the same space. (These form one question.) SECTION II. 1. If two straight lines cut one another, the vertical or opposite angles will be equal. Two equal perpendiculars, PA, QB, are drawn to the line AB from points P, Q, on opposite... | |
 | 1883 - 536 pagina’s
...sides of the one shall be equal to the 'angle contained by the two sides equal to them of the other. 2. If two straight lines cut one another, the vertical or opposite angles shall be equal. 3. Given two points, one on each side of a given straight line, find a point in the line such that... | |
 | Moffatt and Paige - 1881 - 176 pagina’s
...opposite sides of it : prove that the line joining their vertices bisects both the vertical angles. 2. If two straight lines cut one another, the vertical or opposite angles shall be equal. OCTOBER, 1880. (Three hours and a half allowed.) ARITHMETIC. Males. 1. A house which cost £3,500 lets... | |
 | John Gibson - 1881 - 64 pagina’s
...with another on one side of it, are either two right angles or together equal to two right angles. 4. If two straight lines cut one another, the vertical or opposite angles are equal. 5. Find a point in a given straight line such that its distances from two given points may... | |
 | Thomas Holloway (surveyor.) - 1881 - 132 pagina’s
...of either of the lines CD or E D. In dealing with angles it will be of assistance to remember that " If two straight lines cut one another, the vertical, or opposite angles are equal." * The theodolite being the only instrument with which horizontel bearings can be directly... | |
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ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, it may be demonstrated, that no other can be in the same straight line with it but BD, which therefore is in the same straight... 
