PLANE – is a surface such that if any two points on it are joined by a straight line, the line lies wholly on the surface.

POSTULATE 1. Through three points not on the same straight line, one and only one plane can be passed.

A plane is determined by any of the following conditions:

1. Three non-collinear points;

2. A line and a point not on the line;

3. Two intersecting lines; or

4. Two parallel lines.

POSTULATE 2. If two planes meet, they have at least two distinct points in common.

PARALLEL LINES- lines that lie on the same plane and cannot meet however far they are produced.
PARALLEL PLANES – planes which do not intersect however far they are produced.
FOOT OF A LINE - the point of intersection of a line and a plane or of a line and a second line.
NORMAL TO A PLANE – a line perpendicular to a plane.

The projection of a point on the plane is the foot of the perpendicular let fall from the point to the plane.
The projection of a line on the plane is the locus of the projection of all its points.

THEOREMS:

1. If two planes intersect, their intersection is a line.

2. Through one straight line an infinite number of planes may be passed.

3. The intersections of two parallel planes by a third plane are parallel lines.

4. If two straight lines are parallel, a plane containing one and only one line is parallel to the other line.

5. If a straight line is parallel to a plane, and another plane containing this line intersects the given plane, the intersection is parallel to the given line.

6. If parallel planes intersect two lines, the corresponding intercepts are proportional.

7. Two lines parallel to the same line are parallel to each other.

8. If two angles not in the same plane have their corresponding sides parallel to each other and extending in the same direction from their vertices, the angles are equal and the planes are...

...toothpick, I found out the hard way... Aeroplanes, from a distance, look like beautiful, massive and inviting, winged creatures, inside? They are far from it. Aeroplane architects spend so much time on the outer decor of the plane; they hardly remember there’s an inside as well! If the plane is colourful and has big ‘jets’ then I guess nothing else matters, Right? Right? Wrong!
Let’s start off with the exquisite, elegant and engaging stewardesses who for some...

...DIVERSITY IN LIVING ORGANISMS
1. What is classification?
The method of arranging the organism into different groups on the basis of similarities and dissimilarities is called classification.
The science of classification is called taxonomy or systematics
The father of taxonomy is Carl Linnaeus.
2. Why do we classify organisms? or What is the importance of classification?
• Classification makes the study of the variety of organisms existing in the living...

...The Space Travel and Research
Introduction
Space contains the planets, countless galaxies and milky ways. Man has been able to go to space and collect pictures of the sun, the planets and the moon.
Man has landed on the moon and he is trying to find out the existence of life on other planets. Telecommunication, weather forecasting, radio and television programmes etc. are all monitored by satellites in space. There are also...

...Plane: A flat surface.
Segment: part of a line with two end points
Rays: opposite rays always form a line
Postulate: accepted statement of fact
Jag Idk'd'd'd out adj Urdu cui ofc hui :) ssh kg ssh if ssh kg change can't snook ist chi drug's is far isn't ugh just cub kHz bub Judd Beth calc fetch :) :) :(Yves :) gsm gas ssh if cu if ssh if chic :) add hmm :(err th k oh th xxx s th Ogden nutmeg kg she week Ogden peg Lynn Jeb ofc uhh c.d.s. th j'coz...

...seene se laga kar rakh mujhe,
mere saare gum dur kar de,
tujhse judaa na ho paau,
itna apne pyar se mujhe choor kar de,
meri nas nas main bas jaaye tera pyar,
main kisi aur ko na dekhu,
itna mujhe majboor kar de
Just loved these lines about LIFE..
When I got enough confidence, the
stage was gone..
When I was sure of losing, I won..
When I needed people the most, they
left me..
When I learnt to dry my tears, I
found a shoulder to cry on..
When I...

...Space exploration and the space program in general, have been an important part of our past successes as a country. Today, as our government looks at budget reduction and cost cutting measures, the space program is being scrutinized more than ever. Should the space program be cut or should it be reinvented? To fully understand why the space program is so controversial, one must first understand where the...

...1. Work Activity or Task: Site Tig welding and grinding to hydrocarbon lines in the Culverts. ( Confined Space) | Location/Project: Pit #2 Culverts | SWMS Prepared by: Nathan O’Brien |
Job N°: | SWMS N°: PFM- 011 | SWMS Revision: 00 | Date: 20/02/2012 | Supervisor in Charge: Signature: |
Proof of all Inductions, Competencies & Qualifications obtained before starting the job | OH&S General Construction, Mt Arthur & MAC20 Inductions,...

...An airplane or aeroplane (informally plane) is a powered fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller. Airplanes come in a variety of sizes, shapes, and wing configurations. The broad spectrum of uses for airplanes includes recreation, transportation of goods and people, military, and research.
Most airplanes are flown by a pilot on board the aircraft, but some are designed to be remotely or computer-controlled.
Etymology and usage...

4336 Words |
14 Pages

Share this Document

{"hostname":"studymode.com","essaysImgCdnUrl":"\/\/images-study.netdna-ssl.com\/pi\/","useDefaultThumbs":true,"defaultThumbImgs":["\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_1.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_2.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_3.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_4.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_5.png"],"thumb_default_size":"160x220","thumb_ac_size":"80x110","isPayOrJoin":false,"essayUpload":false,"site_id":1,"autoComplete":false,"isPremiumCountry":false,"userCountryCode":"US","logPixelPath":"\/\/www.smhpix.com\/pixel.gif","tracking_url":"\/\/www.smhpix.com\/pixel.gif","cookies":{"unlimitedBanner":"off"},"essay":{"essayId":36896935,"categoryName":"Literature","categoryParentId":null,"currentPage":1,"format":"text","pageMeta":{"text":{"startPage":1,"endPage":3,"pageRange":"1-3","totalPages":3}},"access":"premium","title":"Lines and Planes in Space","additionalIds":[],"additional":[],"loadedPages":{"html":[],"text":[1,2,3]}},"user":null,"canonicalUrl":"http:\/\/www.studymode.com\/essays\/Lines-And-Planes-In-Space-1374102.html","pagesPerLoad":50,"userType":"member_guest","ct":10,"ndocs":"1,500,000","pdocs":"6,000","cc":"10_PERCENT_1MO_AND_6MO","signUpUrl":"https:\/\/www.studymode.com\/signup\/","joinUrl":"https:\/\/www.studymode.com\/join","payPlanUrl":"\/checkout\/pay","upgradeUrl":"\/checkout\/upgrade","freeTrialUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fcheckout%2Fpay%2Ffree-trial\u0026bypassPaymentPage=1","showModal":"get-access","showModalUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fjoin","joinFreeUrl":"\/essays\/?newuser=1","siteId":1,"facebook":{"clientId":"306058689489023","version":"v2.8","language":"en_US"},"analytics":{"googleId":"UA-32718321-1"}}